A 5 kg block attached to a horizontal spring executes SHM of amplitude 1 m and time period 3.14 s. The maximum spring force is ______ N.
Physics · Circular Motion
JEE Mains 10 April 2023 Shift 2 Evening Shift

Question

A 5 kg block attached to a horizontal spring executes SHM of amplitude 1 m and time period 3.14 s. The maximum spring force is ______ N.

G1 Physics · Accepted Answer

For SHM, a(max) = ω²A where ω = 2π/T Given T = 3.14 s ≈ π s: ω ≈ 2 rad s⁻¹ Therefore, a(max) = 2²×1 = 4 m s⁻² Maximum force: F(max) = ma(max) = 5×4 = 20 N Final value: 20