In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released.

Question

In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be _______ rad s - 1 when k = 20 N m - 1 .

TestHub · Accepted Answer

ω = k eq μ μ = reduced mass Springs are in series connection, k eq = k 1 k 2 k 1 + k 2 k eq = k × 4 k 5 k = 4 k 5 k eq = 4 × 20 5 N m - 1 = 16 N m - 1 μ = m 1 m 2 m 1 + m 2 = 0 . 2 × 0 . 8 0 . 2 + 0 . 8 = 0 . 16 kg ω = 16 0 . 16 = 100 = 10

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