A block of mass m = 1 kg hangs from a movable massless pulley. The string over it has one end fixed to the ceiling and the other end tied to a spring ( k = 400 N/m) whose other end is held fixed. Find

Question

A block of mass m = 1 kg hangs from a movable massless pulley. The string over it has one end fixed to the ceiling and the other end tied to a spring ( k = 400 N/m) whose other end is held fixed. Find the frequency of vertical oscillation, in Hz.

TestHub · Accepted Answer

If the block moves down by y , the string must pay out 2 y , so the spring stretches 2 y . The force on the block is 2 × k ( 2 y ) = 4 k y , so k e ff ​ = 4 k and f = 2 π 1 ​ 4 k / m ​ = π 1 ​ k / m ​ = 20/ π = 6.37 Hz.

Physics - SHM Question with Solution | TestHub

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