A block is placed on a horizontal platform vibrating vertically in SHM. It loses contact when angular frequency is 5 rad/s. The amplitude cannot be less than A cm. Find A.
Physics · Simple Harmonic Motion
JEE Mains

Question

A block is placed on a horizontal platform vibrating vertically in SHM. It loses contact when angular frequency is 5 rad/s. The amplitude cannot be less than A cm. Find A.

G1 Physics · Accepted Answer

Loss of contact requires maximum downward acceleration ω²A to be at least g. With ω=5 rad s⁻¹, Aₘᵢₙ=g/ω²=10/25=0.4 m=40 cm. Required answer: 40.