When a particle of mass m is attached to a vertical spring of spring constant k and released, its motion is described by `y (t) = y_0 sin^2omegat`, where 'y' is measured from the lower end of unstretched spring. Then `omega` is :

A particle of mass m is attached to three identical springs of spring constant k as shwon in figure. The time period of vertical oscillation of the particle is

A particle of mass m is attached to three identical massless springs of spring constant 'k' as shown in the figure. The time period of vertical oscillation of the particle is

A ball of mass m is attached to the lower end of a light vertical spring of force constant K . The upper end of the spring is fixed. The ball is released from rest with the spring at its normal ( unstretched ) length, and comed to rest again after descending through a distance x .

A ball of mass m is attached to the lower end of a light vertical spring of force constant K . The upper end of the spring is fixed. The ball is released from rest with the spring at its normal ( unstretched ) length, and comed to rest again after descending through a distance x .

When a mass .m. is attached to a vertical spring and slowly released, the extension in the spring is .x.. When a mass .2m. is attached to the same spring and released suddenly, the extension in the spring is

In an ideal pulley particle system, mass m_2 is connected with a vertical spring of stiffness k . If mass m_2 is released from rest, when the spring is underformed, find the maximum compression of the spring.

In an ideal pulley particle system, mass m_2 is connected with a vertical spring of stiffness k . If mass m_2 is released from rest, when the spring is underformed, find the maximum compression of the spring.

A ring of mass m is attached to a horizontal spring of spring constant k and natural length l_0 . The other end of the spring is fixed and the ring can slide on a horizontal rod as shown. Now the ring is shifted to position B and released Find the speed of the ring when the spring attains its natural length.