The coefficient of friction between block of mass $m$ and $2\mathrm{m}$ is $\mu =2\tan \left(\theta \right)$. There is no friction between a block of mass $2\mathrm{m}$ and inclined plane. The maximum amplitude of two block system for which there is no relative motion between both the blocks-

There is a large difference between the frequencies of external periodic force and natural frequency of a body. The body will

The time period of oscillation of a mass $m$ suspended from a spring is $2 \mathrm{s}$. If a mass of $(\mathrm{m}+5) \mathrm{kg}$ is suspended from the same spring its time period is $3 \mathrm{s}$. What is the value of mass $m$?