AIPMT Mains Physics Oscillations Class 11 Questions

A particle moves in x-y plane according to rule x = a sin ωt and y = a cos ωt. The particle follows

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of pendulum at x = a/2 will be:

Which one of the following equations of motion represents simple harmonic motion? Where k, k₀, k₁ and a are all positive.

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be:

Two Simple Harmonic Motions of angular frequency 100 and 1000 rad s⁻¹ have the same displacement amplitude. The ratio of their maximum accelerations is

A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin(ωt + π/6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?