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qUESTIONS

A simple pendulum is suspended from the roof of a trolley which moves in a horizontal direction with an acceleration a, then the time period is given by T = 2π√l/g where g is equal to

A man measures the period of a simple pendulum inside a stationary lift and finds it to be T s. If the lift accelerates upwards with an acceleration g/4, then the period of the pendulum will be

The period of oscillation of a simple pendulum of constant length at earth surface is T. Its period inside a mine is

A simple harmonic oscillator has an amplitude a and time period T. The time required by it to travel from x = a to x = a / 2 is

The displacement x (in metres) of a particle performing simple harmonic motion is related to time t (in seconds) as x = 0.05cos(4 πxt + π/4) The frequency of the motion will be

A particle moves such that its acceleration a is given by a =-bx, where x is the displacement from equilibrium position and b is a constant. The period of oscillation is

A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and half kinetic

A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time

A particle of mass m oscillates with simple harmonic motion between points x₁ and x2, the equilibrium position being O. Its potential energy is plotted. It will be as given below in the graph

As a body performs S.H.M., its potential energy U. varies with time as indicated in

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