Question

A cage of mass $m$ hangs from a light spring of force constant $k$. A body of same mass $m$ falls from a height $h$ inside the cage and sticks to its floor. Find the amplitude of oscillations of the cage.

• A. ${\left(\frac{2mgh}{k}\right)}^{1/2}$
• B. ${\left(\frac{k}{2mgh}\right)}^{1/2}$
• C. $\sqrt{\frac{mgh}{k}+\frac{m^2{g}^2}{k^2}}$
• D. ${\left(\frac{mg}{k}\right)}^{1/2}$

Answer 1

The correct option is A ${\left(\frac{2mgh}{k}\right)}^{1/2}$