1º BACHILLERATO/FÍSICA/DINÁMICA/FUERZAS EN GENERAL/SISTEMAS DE CUERPOS
Plano con tres cuerpos
En la imagen de la figura, las masas de A, B y C son respectivamente #ma, #mb y #mc Kg. Si el ángulo α es de #an º, calcula:
- La aceleración del sistema hacia la derecha, en m/s.
- La tensión de las cuerdas A-B y B-C en N.

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0
1.- Aceleración = #a2.- Tensión A-B =#t1 Tensión B-C = #t2]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ma</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mb</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mc</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>(</mo><mi>mc</mi><mo>-</mo><mo>(</mo><mi>ma</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>)</mo><mo>)</mo><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>/</mo><mo>(</mo><mi>ma</mi><mo>+</mo><mi>mb</mi><mo>+</mo><mi>mc</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>ma</mi><mo>*</mo><mo>(</mo><mi>a</mi><mo>+</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>mc</mi><mo>*</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>-</mo><mi>a</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mo>-</mo><mo> </mo><mi>A</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mn>2</mn><mo>.</mo><mo>-</mo><mo> </mo><mi>T</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mi>A</mi><mo>-</mo><mi>B</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>t</mi><mn>1</mn><mspace linebreak="newline"/><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mi>T</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mi>B</mi><mo>-</mo><mi>C</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Plano con tres cuerpos rozamiento
En la imagen de la figura, las masas de A, B y C son respectivamente #ma, #mb y #mc Kg. Si el ángulo α es de #an º y el coeficiente de rozamiento entre los cuerpos y la superficie es de #k, calcula:
- La aceleración del sistema hacia la derecha, en m/s
^{2}.
- La tensión de las cuerdas A-B y B-C en N.

]]>
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0
1.- Aceleración = #a2.- Tensión A-B =#t1 Tensión B-C = #t2]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ma</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mb</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mc</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>8</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pxa</mi><mo>=</mo><mi>ma</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fra</mi><mo>=</mo><mi>ma</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>*</mo><mi>k</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>frb</mi><mo>=</mo><mi>mb</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>k</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pc</mi><mo>=</mo><mi>mc</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>(</mo><mi>pc</mi><mo>-</mo><mi>frb</mi><mo>-</mo><mi>fra</mi><mo>-</mo><mi>pxa</mi><mo>)</mo><mo>/</mo><mo>(</mo><mi>ma</mi><mo>+</mo><mi>mb</mi><mo>+</mo><mi>mc</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>(</mo><mi>ma</mi><mo>*</mo><mi>a</mi><mo>)</mo><mo>+</mo><mi>pxa</mi><mo>+</mo><mi>fra</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>pc</mi><mo>-</mo><mo>(</mo><mi>mc</mi><mo>*</mo><mi>a</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mo>-</mo><mo> </mo><mi mathvariant="normal">A</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mn>2</mn><mo>.</mo><mo>-</mo><mo> </mo><mi mathvariant="normal">T</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi mathvariant="normal">s</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mi mathvariant="normal">A</mi><mo>-</mo><mi>B</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>t</mi><mn>1</mn><mspace linebreak="newline"/><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mi mathvariant="normal">T</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi mathvariant="normal">s</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mi>B</mi><mo>-</mo><mi mathvariant="normal">C</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Plano con tres cuerpos rozamiento mínimo
En la imagen de la figura, las masas de A, B y C son respectivamente #ma, #mb y #mc Kg. Si el ángulo α es de #an º calcula el coeficiente de rozamiento mínimo entre los cuerpos y la superficie para que el sistema no se mueva.
]]>
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1.0000000
0.3333333
0
0
#k
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ma</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mb</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mc</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mo>(</mo><mi>mc</mi><mo>-</mo><mo>(</mo><mi>ma</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>)</mo><mo>)</mo><mo>/</mo><mo>(</mo><mi>mb</mi><mo>+</mo><mo>(</mo><mi>ma</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>)</mo><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#k</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Plano inclinado y recto
En el sistema de la figura el coeficiente de rozamiento entre las superficies es de #mu. Si el ángulo del plano inclinado es de #an º y las masas se A y B son, respectivamente #ma y #mb Kg. Calcula la fuerza necesaria para que suba con velocidad constante

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1.0000000
0.3333333
0
0
#f
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mu</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ma</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>4</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mb</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fra</mi><mo>=</mo><mi>ma</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>mu</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pta</mi><mo>=</mo><mi>ma</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>frb</mi><mo>=</mo><mi>mb</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>mu</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>fra</mi><mo>+</mo><mi>pta</mi><mo>+</mo><mi>frb</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#f</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Plano inclinado y recto (copia)
En el sistema de la figura el coeficiente de rozamiento entre las superficies es de #mu. Si el ángulo del plano inclinado es de #an º y las masas se A y B son, respectivamente #ma y #mb Kg. Calcula la aceleración del sistema,(m/s^{2}) y la tensión de la cuerda (N)

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0
aceleración =#aTensión =#t]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mu</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>40</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ma</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>15</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mb</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fra</mi><mo>=</mo><mi>ma</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>mu</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pta</mi><mo>=</mo><mi>ma</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>frb</mi><mo>=</mo><mi>mb</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>mu</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>(</mo><mi>pta</mi><mo>-</mo><mi>fra</mi><mo>-</mo><mi>frb</mi><mo>)</mo><mo>/</mo><mo>(</mo><mi>ma</mi><mo>+</mo><mi>mb</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>(</mo><mi>mb</mi><mo>*</mo><mi>a</mi><mo>)</mo><mo>+</mo><mi>frb</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>T</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi mathvariant="normal">s</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">0.03</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question>
Plano inclinado y vertical
En el sistema de la figura el coeficiente de rozamiento entre las superficies es de #mu. Si el ángulo del plano inclinado es de #an º y las masas se A y B son, respectivamente #ma y #mb Kg. Calcula la aceleración del sistema,(m/s^{2}) y la tensión de la cuerda (N)

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0
aceleración =#aTensión =#t]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mu</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>40</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ma</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mb</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>15</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fra</mi><mo>=</mo><mi>ma</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>mu</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pta</mi><mo>=</mo><mi>ma</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pb</mi><mo>=</mo><mi>mb</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>(</mo><mi>pb</mi><mo>-</mo><mi>fra</mi><mo>-</mo><mi>pta</mi><mo>)</mo><mo>/</mo><mo>(</mo><mi>ma</mi><mo>+</mo><mi>mb</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>pb</mi><mo>-</mo><mo>(</mo><mi>mb</mi><mo>*</mo><mi>a</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi mathvariant="normal">T</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi mathvariant="normal">s</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question>