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A block of mass 1 kg is connected with a smooth plank of the same mass is performing oscillations. The value of the spring constant is 200 N m - 1 . The block and the plank are free to move and there is no friction anywhere. The angular frequency of the oscillation is ω rad s - 1 . Find the value of ω .

Correct answer

20

Step-by-step solution

Using the concept of reduced mass, we obtain:- ω = k m reduced = 2 k m                   ∵ m reduced = m × m m + m = m 2 ⇒ ω = 2 × 200 1 = 20   rad   s - 1

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