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qUESTIONS

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

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

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

A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in second is

A wooden cube (density of wood d) of slide l floats in a liquid of density p with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, its performs simple harmonics motion of period T, then T is equal

A simple harmonic wave having an amplitude A and time period T is represented by the equation y = 5sin π(t + 4) m Then the value of A in (metre) and T in (second) are

The displacement of an object attached to a spring and executing simple harmonic motion is given by x = 2 x 10^-2 cos(πt) metre. The time at which the maximum speed first occurs is

A particle executes SHM of amplitude 25 cm and time period 3 s. What is the minimum time required for the particle to move between two points 12.5 cm on either side of the mean position?

If a simple harmonic is represented by (d^2 x)/(dt^2) + αx = 0 its time period is

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