Oscillations

A particle of mass m oscillates along x-axis according to equation x = a sin ?t

A particle of mass m oscillates along x-axis according to equation x = a sin ωt. The nature of the…

The damping force on an oscillator is directly proportional to the velocity.

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are:…

The period of oscillation of a mass M suspended from a spring of negligible mass is T

The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with…

The displacement of a particle along the x-axis is given by x = a sin² ?t

The displacement of a particle along the x-axis is given by x = a sin² ?t. The motion of the…

A block of mass M is attached to the lower end of a vertical spring

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from…

Which one of the following equations of motion represents simple harmonic motion?

Which one of the following equations of motion represents simple harmonic motion? Options (a) Acceleration = -k(x + a) (b)…

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The…

Two simple harmonic motions of angular frequency 100 and 1000 rad s⁻¹ have the same

Two simple harmonic motions of angular frequency 100 and 1000 rad s⁻¹ have the same displacement amplitude. The ratio of…

A particle executes simple harmonic oscillations with an amplitude

A particle executes simple harmonic oscillations with an amplitude a. The period of oscillation is T. The minimum time taken…

The phase difference between the instantaneous velocity and acceleration of a particle

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is Options (a) π…