Question

A block $B$ of mass $0.6kg$ slides down the smooth face $PR$ of a wedge $A$ of mass $1.7kg$ which can move freely on a smooth horizontal surface. The inclination of the face $PR$ to the horizontal is ${45}^o$. Then:

• A. the acceleration of $A$ is $3g/20$
• B. the vertical component of the acceleration of $B$ is $23g/40$
• C. the horizontal component of the acceleration of $B$ is $17g/40$
• D. option A,B,C are correct

Answer 1

The correct option is D option A,B,C are correct

Wedge of $10$kg is free to move on horzonital surface.

At the given instant acceleration of wedge is (string and pulley are ideal)

$\left(1\right)$ $2m/s^2$ towards right

$\left(b\right)$ $2m/s^2$towards left

$\left(c\right)$ $1m/s^2$ towards left

$\left(d\right)$ $1m/s^2$ towards right.

Hence, Option $A,B,C$ are correct.