The pulley system, shown in the figure, has two pulleys of radii 2 m and 1 m , respectively. If the acceleration of block A is 5 m s- 2 in the downward direction, then the acceleration of block B will be

Question

The pulley system, shown in the figure, has two pulleys of radii 2 m and 1 m , respectively. If the acceleration of block A is 5 m s- 2 in the downward direction, then the acceleration of block B will be <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-ua6vqirjoti9.png" /> (A) 0ms- 2 (B) 5ms- 2 (C) 10ms- 2 (D) (5/2)ms- 2

Tardigrade Admin · Accepted Answer

Given aA=α × 2m=5ms- 2 ⇒ α =(5/2)ms- 2 Hence, acceleration of B , aB=α × 1m=(5/2)ms- 2

Q. The pulley system, shown in the figure, has two pulleys of radii $2 m$ and $1 m$ , respectively. If the acceleration of block $A$ is $5 m s^{- 2}$ in the downward direction, then the acceleration of block $B$ will be

$0 m s^{- 2}$

$5 m s^{- 2}$

$10 m s^{- 2}$

$\frac{5}{2} m s^{- 2}$

Given $a_{A} = α \times 2 m = 5 m s^{- 2}$
$\Rightarrow α = \frac{5}{2} m s^{- 2}$
Hence, acceleration of $B$ , $a_{B} = α \times 1 m = \frac{5}{2} m s^{- 2}$

Q. The pulley system, shown in the figure, has two pulleys of radii 2m and 1m , respectively. If the acceleration of block A is 5ms−2 in the downward direction, then the acceleration of block B will be

0ms−2

5ms−2

10ms−2

25​ms−2