Exam 15: Oscillations

A particle is in simple harmonic motion with period T.At time t = 0 it is at the equilibrium point.At the times listed below it is at various points in its cycle.Which of them is farthest away from the equilibrium point?

A block attached to a spring oscillates in simple harmonic motion along the x axis.The limits of its motion are x = 10 cm and x = 50 cm and it goes from one of these extremes to the other in 0.25 s.Its amplitude and frequency are:

It is impossible for two particles, each executing simple harmonic motion, to remain in phase with each other if they have different:

A disk whose rotational inertia is 450 kg∙m² hangs from a wire whose torsion constant is 2300 N∙m/rad.When its angular displacement is −0.23 rad, what is its angular acceleration?

A particle is in simple harmonic motion along the x axis.The amplitude of the motion is x_m.At one point in its motion its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0)is U = 3 J.When it is at x = x_m, the kinetic and potential energies are:

A particle is in simple harmonic motion along the x axis.The amplitude of the motion is x_m.When it is at x = x₁, its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0)is U = 3 J.When its potential energy is 8 J, it is at:

A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m.If the oscillation is started by elongating the spring 0.15 m and giving the block a speed of 3.0 m/s, then the maximum speed of the block is:

For an oscillator subjected to a damping force proportional to its velocity:

Which of the following is the difference between a simple pendulum and a physical pendulum?

A simple pendulum of length L and mass M has frequency f.To increase its frequency to 2f:

An object attached to one end of a spring makes 20 complete vibrations in 10s.Its period is:

A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m.If the system has an energy of 6.0 J, then the amplitude of the oscillation is:

In simple harmonic motion, the restoring force must be proportional to the:

An object attached to one end of a spring makes 20 vibrations in 10 seconds.Its frequency is:

A 1.2-kg mass is oscillating without friction on a spring whose spring constant is 3400 N/m.When the mass's displacement is 7.2 cm, what is its acceleration?

A 0.20-kg object mass attached to a spring whose spring constant is 500 N/m executes simple harmonic motion.If its maximum speed is 5.0 m/s, the amplitude of its oscillation is:

The angular displacement of a simple pendulum is given by θ(t)= θ_m cos (ωt + φ).If the pendulum is 45 cm in length, and is given an angular speed dθ/dt = 3.4 rad/s at time t = 0, when it is hanging vertically, what is θ_m?

Five particles undergo damped harmonic motion.Values for the spring constant k, the damping constant b, and the mass m are given below.Which leads to the smallest rate of loss of mechanical energy?

The acceleration of a body executing simple harmonic motion leads the velocity by what phase?

A 3-kg block, attached to a spring, executes simple harmonic motion according to x = 2cos(50t)where x is in meters and t is in seconds.The spring constant of the spring is: