Question

Find the relation between acceleration of $A\left(a\right)$ and acceleration of $B\left(b\right)$ in the figure shown

• A. $a=b\sin \theta$
• B. $a=b\cos \theta$
• C. $a=b\tan \theta$
• D. $a=b\cot \theta$

Answer 1

The correct option is C $a=b\tan \theta$

From the constraint relation, the accelerations of the bodies in perpendicuar direction to the point of contact of the surfaces should be same.

So, from the figure we have,
$a\cos \theta =b\sin \theta \Rightarrow a=b\tan \theta$