Two fixed frictionless inclined planes making an angle 30° and 60° 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 ?

Question

Two fixed frictionless inclined planes making an angle 30° and 60° 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

Tardigrade Admin · Accepted Answer

Relative vertical acceleration of A with respect to B =g( sin 2 60°- sin 2 30°) =9.8((3/4)-(1/4))=4.9 m / s 2

Q. Two fixed frictionless inclined planes making an angle $3 0^{\circ}$ and $6 0^{\circ}$ 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 $B ?$

$4.9 m s^{- 2}$ in vertical direction

$4.9 m s^{- 2}$ in horizontal direction

$9.8 m s^{- 2}$ in vertical direction

Zero

Relative vertical acceleration of A with respect to B
$= g (sin^{2} 6 0^{\circ} - sin^{2} 3 0^{\circ})$
$= 9.8 (\frac{3}{4} - \frac{1}{4}) = 4.9 m / s^{2}$

Q. Two fixed frictionless inclined planes making an angle 30∘ and 60∘ 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?

4.9ms−2 in vertical direction

4.9ms−2 in horizontal direction

9.8ms−2 in vertical direction