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qUESTIONS

A particle performs linear SHM when the displacement of the particle from mean position are 3 cm and 4 cm, the corresponding velocities are 8 cms-¹ and 6 cms-¹ 1 respectively. Its periodic time is

The instantaneous displacement of a simple harmonic oscillator is given by Y = A cos(ωt + π/4) Its speed will be maximum at the time [ sin 90 deg = cos 0 deg = 1, sin 0 deg = cos 90 deg = 0 ]

Two springs P and Q of spring constant K, and Ko P respectively have equal maximum velocities while executing simple harmonic motion. The masses attached to both the springs are same. The ratio of amplitude of springs to that of spring P will be

In SHM restoring force is F = -kx, where k is force constant, x is displacement and A is amplitude of motion, then total energy depends upon

The KE and PE of a particle executing SHM of amplitude a will be equal, when displacement is

The displacement of a particle of mass 3 g executing simple harmonic motion is given by Y = 3sin(ωt) in SI units. The KE of the particle at a point which is at a distance equal to 1/3 of its amplitude from its mean position is

A particle performing SHM has time period 2π / √3 and path length 4 cm. The displacement from mean position at which acceleration is equal to velocity is

A body executes simple harmonic motion. The potential energy (PE), the kinetic energy (KE) and total energy (TE) are measured as function of displacement x. Which of the following statement is true?

The total energy of a simple harmonic oscillator is proportional to

For a particle executing SHM, the displacement x is given by x = A cosωt. Identify the graph which represents the variation of potential energy (PE) as a function of time t and displacement x.

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