A particle executes SHM with amplitude A, time period T, maximum acceleration a₀ and maximum velocity v₀. It starts from the mean position at t = 0 and at time t has displacement A/2, acceleration a and velocity v.
Select all that apply

Question

A particle executes SHM with amplitude A, time period T, maximum acceleration a₀ and maximum velocity v₀. It starts from the mean position at t = 0 and at time t has displacement A/2, acceleration a and velocity v.

Select all that apply

G1 Physics · Accepted Answer

Starting from the mean, x=A sinωt. For x=A/2, ωt=π/6, so t=T/12 and |a|=ω²A/2=a₀/2. Velocity is v=ωA cosπ/6=√3 v₀/2, not v₀/2. Hence A and B are correct.