A massless spring of length l and spring constant k is placed vertically on a table. A ball of mass m is just kept on top of the spring. The maximum velocity of the ball is

Question

A massless spring of length l and spring constant k is placed vertically on a table. A ball of mass m is just kept on top of the spring. The maximum velocity of the ball is, g m k, g 2 m k, 2 g m k, g 2 m k, g m 2 k

MARKS App · Accepted Answer

If x - displacement of free end of spring, then at equilibrium m g = k x or x = m g k Time period of oscillation, T = 2 π m k ⇒ ω = Angular frequency = 2 π T = k m Maximum velocity of oscillating mass = V m a x = A ω = m g k × k m = g m k

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