A block of mass m is attached to a cart of mass 4 m through spring of spring constant k as shown in the figure. Friction is absent everywhere. The time period of oscillations of the system, when spring is compressed and then released, is

Question

A block of mass m is attached to a cart of mass 4 m through spring of spring constant k as shown in the figure. Friction is absent everywhere. The time period of oscillations of the system, when spring is compressed and then released, is, π m k, 2 π m k, 2 π 5 m 2 k, 4 π m 5 k

MARKS App · Accepted Answer

It is equivalent to a system as shown below, T = 2 π m reduced k ∴ T = 2 π m × 4 m 5 m k = 2 π 4 m 5 k = 4 π m 5 k

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