A solid sphere of mass 5 kg rolls without slipping while its centre is attached to a spring of force constant 70 N/m. If the square of the angular frequency of small oscillations is N s⁻², find N.
Physics · Simple Harmonic Motion · time period of linear shm
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Question

A solid sphere of mass 5 kg rolls without slipping while its centre is attached to a spring of force constant 70 N/m. If the square of the angular frequency of small oscillations is N s⁻², find N.

G1 Physics · Accepted Answer

For a solid sphere rolling without slipping, ω² = 5k/(7M). Substitute k = 70 N/m, M = 5 kg. Thus, ω² = 5×70/(7×5) = 350/35 = 10 s⁻². Hence, N = 10.