A mass attached to a spring is free to oscillate, with angular velocityω, in a horizontal plane without friction or damping. It is pulled to a distance  x0 and pushed towards the centre with a  velocity  v0 at time t = 0. Determine the amplitude of the resulting oscillations in terms of the parameters ω,  x0 and  v0 . [Hint: Start with the equation x= a cos (ωt+θ) and note that the initial velocity is negative.]

A mass attached to a spring is free to oscillate, with angular velocityω, in a horizontal plane without friction or damping. It is pulled to a distance  x0 and pushed towards the centre with a  velocity  v0 at time t = 0. Read More …

A circular disc of mass 10 kg is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be 1.5 s. The radius of the disc is 15 cm. Determine the torsional spring constant of the wire. (Torsional spring constant α is defined by the relation J = –αθ , where J is the restoring couple and θ the angle of twist)

A circular disc of mass 10 kg is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be 1.5 s. The radius of the disc Read More …

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