In the given figure, spring block system is in equilibrium. The spring connecting blocks A and B is cut. The mass of all the three blocks is m and spring constant of both the spring is k . Find the amplitude of resulting oscillation of block A ?

Question

In the given figure, spring block system is in equilibrium. The spring connecting blocks A and B is cut. The mass of all the three blocks is m and spring constant of both the spring is k . Find the amplitude of resulting oscillation of block A ? <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-nizphhbc35r2ccb4.jpg" /> (A) (m g/k) (B) (2 m g/k) (C) (3 m g/k) (D) (4 m g/k)

Tardigrade Admin · Accepted Answer

At equilibrium, the elongation in spring = (3 m g/k) . After the string is cut, only mass m is hanging. The elongation at equilibrium is (m g/k) . Hence amplitude is (3 m g/k) . - (m g/k) = (2 m g/k) .

Q. In the given figure, spring block system is in equilibrium. The spring connecting blocks $A$ and $B$ is cut. The mass of all the three blocks is m and spring constant of both the spring is $k$ . Find the amplitude of resulting oscillation of block $A$ ?

$\frac{m g}{k}$

$\frac{2 m g}{k}$

$\frac{3 m g}{k}$

$\frac{4 m g}{k}$

At equilibrium, the elongation in spring $= \frac{3 m g}{k}$ . After the string is cut, only mass m is hanging. The elongation at equilibrium is $\frac{m g}{k} .$ Hence amplitude is $\frac{3 m g}{k} . - \frac{m g}{k} = \frac{2 m g}{k} .$

Q. In the given figure, spring block system is in equilibrium. The spring connecting blocks A and B is cut. The mass of all the three blocks is m and spring constant of both the spring is k . Find the amplitude of resulting oscillation of block A ?

kmg​

k2mg​

k3mg​

k4mg​