For an oscillator subjected to a damping force proport (a) the displacement is a pure sinusoidal function of time, (b) the velocity is a pure sinusoidal function of time, (c) the frequency is a decreasing function of time, (d) the mechanical energy is constant, (e) none of the above is true.

A mass is attached to the end of a spring and set into simple harmonic motion with an amplitude A on a horizontal frictionless surface. Determine the following in terms of only the variable A.   (a) Magnitude of the position (in terms of A) of the oscillating mass when its speed is 30% of its maximum value.   (b) Magnitude of the position (in terms of A) of the oscillating mass when the elastic potential energy of the spring is 30% of the total energy of the oscillating system.

A block of unknown mass is attached to a spring with a spring constantof 5.50 N/m and undergoes simple harmonic motion with an amplitude of 12.5 cm.When the block is halfway between its equilibrium position and the end point, itsspeed is measured to be 26.0 cm/s.(a) Calculate the mass of the block.(b) Calculate the period of the motion.(c) Calculate the maximum acceleration of the block.

The magnitude of the maximum velocity of a mass attached to a spring in SHM is 4.85 m/s. The period of the motion is 0.328 s. (a) What is the amplitude of the oscillation? (b) Assuming at t = 0 x has its maximum value, what is the velocity of the mass 2.50 s after its motion began?