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What is the acceleration of the block and trolly system as the fig., if the coefficient of kinetic friction between the trolly and the surface is 0.04 ? Also Calculate friction in the string. Take g = 10 m/s2, mass of the string is negligible. 

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Free body diagram of the block

30 – T = 3a       .....(i)

Free body diagram of the trolley

T – fk = 20 a ...(ii) 

where fk = µk N = 0·04 × 20 × 10 = 8 N 

Solving (i) & (ii), 

a = 0·96 m/s2 and T = 27·2 N

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