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Standard XII

Physics

Wave Speed expression

All pulleys a...

Question

All pulleys are light & smooth, strings are light & inextensible. Consider the case when $M \to \infty$ (see fig).

Acceleration of m is g upward

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Net force on m is

m g / 3

upward

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Tension in the string connecting M is

\frac{4 m g}{9}

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Tension in the string connecting m is

2

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Solution

The correct option is D Tension in the string connecting m is $2$ mg
From constants equation
$a_{m} = a_{M} =$
$T - m g = m a$
$M g - T = M a$
$\Rightarrow \frac{(M - m) g}{(M + m)} = a = ⎛ ⎜ ⎜ ⎝ \frac{1 - \frac{m}{m}}{1 + \frac{m}{m}} ⎞ ⎟ ⎟ ⎠ g$
It $M \to \infty$
$a = g$
$T = m g + m a = 2 m g$

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All pulleys are light & smooth, strings are light & inextensible. Consider the case when M→∞(see fig).

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