Exam 15: Oscillations

Five hoops are each pivoted at a point on the rim and allowed to swing as physical pendulums. The masses and radii are Order the hoops according to the periods of their motions, smallest to largest.

Three physical pendulums, with masses m₁, m₂ = 2m₁, and m₃ = 3m₁, have the same shape and size and are suspended at the same point. Rank them according to their periods, from shortest to longest.

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

A meter stick is pivoted at a point a distance a from its center and swings as a physical pendulum. Of the following values for a, which results in the shortest period of oscillation?

A block attached to a spring undergoes simple harmonic motion on a horizontal frictionless surface. Its total energy is 50 J. When the displacement is half the amplitude, the kinetic energy is:

The amplitude and phase constant of an oscillator are determined by:

A certain spring elongates 9 mm when it is suspended vertically and a block of mass M is hung on it. The natural frequency of this mass-spring system is:

Frequency f and angular frequency $\omega$ are related by

Both the x and y coordinates of a point execute simple harmonic motion. The result might be a circular orbit if:

An object of mass m, oscillating on the end of a spring with spring constant k has amplitude A. Its maximum speed is:

If the length of a simple pendulum is doubled, its period will:

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

A particle oscillating in simple harmonic motion is:

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

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:

In simple harmonic motion:

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 amplitude of the oscillation is:

When a body executes simple harmonic motion, its acceleration at the ends of its path must be:

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?

In simple harmonic motion, the magnitude of the acceleration is: