Question

A body is freely rolling down on an inclined plane whose angle of inclination is $\theta$. If $a$ is acceleration of it's centre of mass then which of the relation holds true? ( Given acceleration due to gravity $=g$)

• A. $a=gsin\theta$
• B. $a<gsin\theta$
• C. $a>gsin\theta$
• D. $a=0$

Answer 1

The correct option is B $a<gsin\theta$

Acceleration for a body is: $a=\frac{g\sin q}{1+\frac{k^2}{r^2}}$
Since the denominator is greater than 1, $a<g\sin q$ (as denominator is always greater than 1)