Problem

A disc of mass

3m

and a disc of mass

m

are connected by a massless spring of stiffness

k

. The heavier disc is placed on the ground with the spring vertical and lighter disc on top. From its equilibrium position the upper disc is pushed down by a distance

\delta

and released. Then a. if

\delta > \frac{3mg}{k}

, the lower disc will bounce up b. if

\delta = \frac{2mg}{k}

, maximum normal reaction from ground on lower disc =

6mg

c. if

\delta = \frac{2mg}{k}

, maximum normal reaction from ground on lower disc =

4mg

d. if

\delta > \frac{4mg}{k}

, the lower disc will bounce up

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