A student calculates the acceleration of m1 in the figure shown as a1-m1-m2g-m1-m2 - Which assumption is not required to do this calculation-

The correct option is C pulley is masslessHere, m_1a=T m_1g ...(1) m_2a=m_2g T ...(2) (1)+(2), a=m_2 m_1m_1+m_2g Acceleration of m_1 , ...

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Byju's Answer

Standard XII

Physics

Applying NLM along 3 Axis

A student cal...

Question

A student calculates the acceleration of $m_{1}$ in the figure shown as $a_{1} = \frac{(m_{1} - m_{2}) g}{m_{1} + m_{2}}$ . Which assumption is not required to do this calculation?

rim of pulley is frictionless

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string is massless

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pulley is massless

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string is inextensible

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Solution

The correct option is C pulley is massless
Here, $m_{1} a = T - m_{1} g . . . (1)$
$m_{2} a = m_{2} g - T . . . (2)$
$(1) + (2), a = \frac{m_{2} - m_{1}}{m_{1} + m_{2}} g$
Acceleration of $m_{1}$ , $a_{1} = - a = \frac{m_{1} - m_{2}}{m_{1} + m_{2}} g$
For this calculation, we assume that the string is massless and rim of the pulley is frictionless otherwise there would have been a frictional force and mass of string included in the acceleration expression. The tension will come due to the inextensible string, otherwise. the elastic effect would have to be included in the tension. The mass of the pulley does not affect the given expression as tension on both the sides remain the same. Thus, option C is correct.

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A student calculates the acceleration of m1 in the figure shown as a1=(m1−m2)gm1+m2 . Which assumption is not required to do this calculation?

A student calculates the acceleration of $m_{1}$ in the figure shown as $a_{1} = \frac{(m_{1} - m_{2}) g}{m_{1} + m_{2}}$ . Which assumption is not required to do this calculation?