Question

Two particles $A$ and $B$ start from the same point and slide down through straight smooth planes inclined at ${30}^o$ and ${60}^o$ to the vertical and in the same vertical plane and on the same side of vertical drawn from the starting point. The acceleration of B with respect to A is

• A. $\frac{g}{2}$ in vertical direction
• B. $g$ in vertical direction
• C. $g$ in horizontal direction
• D. None of these

Answer 1

The correct option is A $\frac{g}{2}$ in vertical direction

Acceleration of a body rolling down an inclined plane is $g\sin \theta$, along the plane, acceleration of B with respect to A

$\therefore a_A=g\sin 30$

$=\frac{g}{2}$ in vertical direction