A body of mass 0.8 kg performs linear S.H.M. It experiences a restoring force of 0.4N, when its displacement from mean position is 4 cm. Determine Force constant and Period of S.H.M.

Q.13 A body of mass 0.8 kg performs linear S.H.M. It experiences a restoring force of 0.4N, when its displacement from mean position is 4 cm. Determine Force constant and Period of S.H.M.

Doubtly Asked 28 Oct 2026 Board exam · March 2025 hsc 12th Save WhatsApp Report

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Answer: \(k = 10\) N/m, \(T \approx 1.777\) s

Given: \(m = 0.8\) kg, \(F = 0.4\) N, \(x = 4\) cm \(= 0.04\) m.

Force constant: \(F = kx\) (magnitude), so

\[k = \frac{F}{x} = \frac{0.4}{0.04} = 10 \text{ N/m}\]

Period:

\[T = 2\pi\sqrt{\frac{m}{k}} = 2 \times 3.142\sqrt{\frac{0.8}{10}} = 6.284\sqrt{0.08} = 6.284 \times 0.2828 \approx 1.777 \text{ s}\]

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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A body of mass 0.8 kg performs linear S.H.M. It experiences a restoring force of 0.4N, when its displacement from mean position is 4 cm. Determine Force constant and Period of S.H.M.

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