Question

Initially wedge was at rest and spring is in natural length. Now a solid sphere of same mass that of the wedge is attached to the spring and is released as shown in the figure. (assume sphere is in pure Rolling). The maximum extension in spring is:

• A. $\frac{2}{5}$meter
• B. $\frac{3}{5}$meter
• C. $\frac{4}{6}$meter
• D. 2 meter

Answer 1

The correct option is A $\frac{2}{5}$meter

At max. extension linear momentum of system is zero and both ball and wedge will be at rest,

$mgx\frac{3}{5}=\frac{1}{2}\left(3mg\right)x^2$

$x=\frac{2}{5}m$