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

For 2 kg 20 – T1 = 2a ………… (i)
For monkey T2 – 80 – T1 = 8 (2 – a) …. (ii)
For 10 kg T2 – 100 = 10a ……. (iii)
Acceleration of monkey w.r. to ground
= 2 – 0.8 = 1.2 m/s2
t = 2 sec
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T1 = m (g + a)
T2 = m (g - a)
Apparent weight = mg – ma
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