Two blocks of mass 10 kg and 2 kg respectively are connected by an ideal string passing over a fixed smooth pulley as shown in figure. A monkey of 8 kg started climbing the string with constant accele

Question

Two blocks of mass 10 kg and 2 kg respectively are connected by an ideal string passing over a fixed smooth pulley as shown in figure. A monkey of 8 kg started climbing the string with constant acceleration 2 ms − 2 with respect to string at t = 0 . Initially the monkey is 2.4 m from the pulley. Find the time taken by the monkey to reach the pulley.

TestHub · Accepted Answer

Com of both sides will move with same acceleration

$\frac{8 ( a _{0} - a ) - 2 a}{10} = \frac{10 a}{10} \Rightarrow a = \frac{2}{5} a_{6}$

Acceleration of monkey with respect to ground $= a_{0} - a = 0.6 a_{0} = 1.2 ms^{- 2}$

$t = \frac{2 ( 2.4 )}{1.2} = 2 sec .]$

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