Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is $0.05 .$ ( $g = 10 m s^{- 2},$ mass of the string is negligible and no other friction exists).
NEET 2020 (Phase 2)

Question

Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is $0.05 .$ ( $g = 10 m s^{- 2},$ mass of the string is negligible and no other friction exists).

NEET 2020 (Phase 2)

TestHub · Accepted Answer

First, make the free body diagram,

here, the equation, the relation between tension and acceleration, $20 = 2 a + T . . (1) & T = 10 a + 5 . . (2) \Rightarrow 20 = 2 a + 10 a + 5 \Rightarrow 12 a = 15 \Rightarrow a = \frac{15}{12} = 1.25 m s^{- 2}$

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