A solid sphere rolls without slipping and presses a spring of spring constant `k` as shown in figure. Then, the compression in the spring will be

A block of mass m moving at a speed v_0 compresses a spring of spring constant k as shown in the figure. Find (a) the maximum compression of spring and (b) speed of the block when the spring is compressed to half of maximum compression.

A block of 10 g slides on smooth horizontal surface with 20 m/s towards a spring of spring constant 100 N/m placed horizontally (as shown in figure). The maximum compression in spring is

A block of 10 g slides on smooth horizontal surface with 20 m/s towards a spring of spring constant 100 N/m placed horizontally (as shown in figure). The maximum compression in spring is

A uniform disc of mass m is attached to a spring of spring constant k as shown in figure and there is sufficient friction to prevent slipping of disc. Time period of small oscillations of disc is:

A uniform disc of mass m is attached to a spring of spring constant k as shown in figure and there is sufficient friction to prevent slipping of disc. Time period of small oscillations of disc is:

A solid sphere of mass M and Radius R is attached to a massless spring of force constant k as shown in the figure. The cylinder is pulled towards right slightly and released so that it executes simple harmonic motion of time period. If the cylinder rolls on the horizontal surface without slipping, calculate its time period of oscillation.

The spring constant of the spring shown in the figure is 250Nm^(-1) . Find the maximum compression of the spring?

A block of mass m is moving with an initial velocity v_0 towards a stationary spring of stiffness k attached to the wall as shown in figure a. Find the maximum compression in the spring. b. Is the work done by the spring negative or positive?

A block of mass m is moving with an initial velocity v_0 towards a stationary spring of stiffness k attached to the wall as shown in figure a. Find the maximum compression in the spring. b. Is the work done by the spring negative or positive?