First slide

Rotational motion

Question

In the pulley system shown, if radii of the bigger and smaller pulley are 2 m and 1 m, respectively, and the acceleration of block A is 5 ms^-2 in the downward
direction, the acceleration of block B will be

Moderate

A

$0 {ms}^{- 2}$
B

$5 {ms}^{- 2}$
C

$10 {ms}^{- 2}$
D

$\frac{5}{2} {ms}^{- 2}$

Solution

${Given : a}_{A} = R α = 2 α = 5 m / s^{2} \Rightarrow α = \frac{5}{2} m / s^{2}$
$Hence, acceleration of B, a_{B} = 1 (α) = \frac{5}{2} m / s^{2}$

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