Exam 14: Oscillations

An 8.0-kg block is attached to a spring with a constant of 2.0 N/m. If the spring is stretched 3.0 m from its equilibrium position and released from rest, the maximum velocity attained by the mass is

Which of the following statements concerning the motion of a simple pendulum is incorrect?

The kinetic energy K of a body executing simple harmonic motion is plotted against time, the time being expressed in terms of the period T. The initial conditions are such that the phase angle is zero. Such a graph would most closely resemble which of the following graphs?

The displacement in simple harmonic motion is a maximum when the

The force constant of a massless spring is 25.0 N/m. A mass of 0.45 kg is oscillating in simple harmonic motion at the end of the spring with an amplitude of 0.32 m. The maximum speed of the mass is

Use the following to answer question : -The graph shows the average power delivered to an oscillating system as a function of the driving frequency. According to these data, the damping is least for system(s)

When the displacement of an object in simple harmonic motion is one-quarter of the amplitude A, the potential energy is what fraction of the total energy?

In simple harmonic motion, the displacement x = A cos $\omega$ t and the acceleration a = - $\omega$ ²x. If A = 0.25 m and the period is 0.32 s, the acceleration when t = 0.12 s is

Use the following to answer question : -The graph shows the average power delivered to an oscillating system as a function of the driving frequency. According to these data, the damping is greatest for system(s)

Use the figure to the right to answer the next problems. A ball of mass m = 100 g and radius r = 10 cm is suspended from a light spring with spring constant k = 4 N/m. The ball is then immersed in oil with viscosity $\eta$ = 0.2 Pa.s and driven at the resonant frequency by a variable force F = F_o cos ( $\omega$ t) at an amplitude of A = 10 cm. -What is the value of F_o?

If the amplitude of a simple harmonic oscillator is doubled, the total energy is

A body of mass M is executing simple harmonic motion with an amplitude of 8.0 cm and a maximum acceleration of 100 cm/s². When the displacement of this body from the equilibrium position is 6.0 cm, the magnitude of the acceleration is approximately

When a body capable of oscillating is acted on by a periodic series of impulses having a frequency equal to one of the natural frequencies of oscillation of the body, the body is set in vibration with relatively large amplitude. This phenomenon is known as

A 1.81-kg block slides on a horizontal frictionless table with a speed of 1.22 m/s. It is brought to rest by compressing a spring in its path. If the spring has a force constant of 7.30 N/m, it is compressed

The graph shows the response of a driven oscillatory system as a function of time. The region(s) of the graph that show(s) only the transient response is (are)

A pendulum does not have simple harmonic motion if its angular amplitude $\theta$ ₀ is not small. For large angular amplitudes, the period is given by T = T₀[1 + (1/4) sin² $\theta$ ₀ + (3/64) sin⁴ $\theta$ ₀ + · · · ] As the angular amplitude of the pendulum gets larger, the frequency of the pendulum

A particle moving in a circle of radius 15 cm makes 33.3 rev/min. If the particle starts on the positive x axis at time t = 0, what is the x component of the particle's velocity at time T = 1.2 s?

A particle moving with a simple harmonic motion has its maximum displacement of +18 cm at time t = 0. The frequency of the motion is 10 s^-1. At a time t = 0.65 s, the position of the particle is

Use the figure to the right to answer the next problems. A ball of mass m = 100 g and radius r = 10 cm is suspended from a light spring with spring constant k = 4 N/m. The ball is then immersed in oil with viscosity $\eta$ = 0.2 Pa.s, and set into oscillation with an initial amplitude of A = 2 cm. -What is the angular frequency of oscillation?

A Foucault pendulum is a simple mass-on-a-long-string pendulum suspended from a tall ceiling. It was first exhibited at the Pantheon building in Paris, and because of the rotation of Earth about its axis, the Pantheon rotates about the pendulum as the day passes. A similar pendulum set up at the North pole would show the floor below the pendulum rotating one circle in a 24hr period. If a Foucault pendulum is installed at the equator so that it originally swings in the east-west direction, after 6 hours what is the direction of the swing?