Q.
The fixed frictionless inclined planes making an angle $30{^\circ}$ and $60{^\circ}$ with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of $A$ with respect to $B$
A) $4.9\ ms^{- 2}$ in vertical direction
B) $4.9\ ms^{- 2}$ in horizontal direction
C) $9.8\ ms^{- 2}$ in vertical direction
D) Zero
Explanation
(a) Relative vertical acceleration of $A$ with respect to $B$
$= g(\sin^{2}{60{^\circ}} - \sin^{2}{30{^\circ}})$
$= 9.8\ \left( \frac{3}{4} - \frac{1}{4} \right) = 4.9\ m/s^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.