Exam 14: Oscillations

A light spring stretches 0.13 m when a 0.35 kg mass is hung from it.The mass is pulled down from this equilibrium position an additional 0.15 m and then released.Determine the maximum speed of the mass.

Use the figure to the right to answer the next problem. 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 = 0.2 Pa.s , and set into oscillation with an initial amplitude of A = 2 cm. -What is the angular frequency of oscillation?

The differential equation for a damped oscillator is If the damping is not too large,the time constant for the motion of this oscillator is determined by the

A mass of 2.00 kg suspended from a spring 100 cm long is pulled down 4.00 cm from its equilibrium position and released.The amplitude of vibration of the resulting simple harmonic motion is

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?

A body moves in simple harmonic motion with amplitude A and period T.The minimum time for the body to move from a displacement of A to A/2 is

A spring is cut in half.The ratio of the force constant of one of the halves to the force constant of the original spring is

A mass attached to a spring has simple harmonic motion with an amplitude of 4.0 cm.When the mass is 2.0 cm from the equilibrium position,what fraction of its total energy is potential energy?

The equation for the period T of a mass m oscillating with simple harmonic motion at the end of a spring with a force constant k is .A mass m that is oscillating on a spring with a force constant of 0.52 N/m has a period of 2.1 s.On a second spring,the same mass has a period of 3.5 s.The force constant of the second spring is

A thin test tube is partially filled with lead pellets so that it floats vertically in a fluid.When displaced slightly in the vertical direction,the tube undergoes SHM.In water the period is found to be 1.25 s,and when in an unknown fluid its period is 1.40 s.Use Archimedes' Principle to help you determine the density of the unknown liquid.(Density of water = 1 g/cm³)

A pendulum is oscillating with a total mechanical energy E₀.When the pendulum is at its maximum displacement,the kinetic energy K and the potential energy U are

A clock keeps accurate time when the length of its simple pendulum is L.If the length of the pendulum is increased a small amount,which of the following is true?

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

Any body moving with simple harmonic motion is being acted on by a force that is

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

Which of the following statements is true of a particle that is moving in simple harmonic motion?

A particle moving with simple harmonic motion has a maximum displacement of +12.0 cm.The particle moves from its maximum positive to its maximum negative displacement in 2.25 s.The motion starts when the displacement is x = +12.0 cm.The time for the particle to move to x = -6.00 cm is

The solution to the differential equation of a damped oscillator,for the case in which the damping is small,is The phase constant $\sigma$ is determined by the

A simple pendulum on Earth has a period T.The period of this pendulum could be decreased by

A body of mass 5.0 kg moves in simple harmonic motion according to the equation where the units are SI.The period of this motion is