A particle is in simple harmonic motion along the x axis.The amplitude of the motion is xm.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 it is at x = -1/2 xm, the kinetic and potential energies are:

A) K = 6 J and U = 2 J B) K = 6 J and U = -2 J C) K = 8 J and U = 0 J D) K = 0 J and U = 8 J E) K = 0 J and U = -8 J A) K = 6 J and U = 2 J B) K = 6 J and U = -2 J C) K = 8 J and U = 0 J D) K = 0 J and U = 8 J E) K = 0 J and U = -8 J

A particle is in simple harmonic motion along the x axis.The amplitude of the motion is xm.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 kinetic energy is 8 J, it is at:

A) x = 0 B) x = x1 C) x = xm/2 D) x = xm/ E) x = xm A) x = 0 B) x = x1 C) x = xm/2 D) x = xm/ E) x = xm

Exam 15: Oscillations

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The displacement of an object oscillating on a spring is given by x(t)= x_mcos( $\omega$ t + $\phi$ ).If the initial displacement is zero and the initial velocity is in the negative x direction, then the phase constant $\phi$ is:

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Question 21

An oscillator is driven by a sinusoidal force.The frequency of the applied force:

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Question 22

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 it is at x = -1/2 x_m, the kinetic and potential energies are:

(Multiple Choice)

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Question 23

A particle undergoes damped harmonic motion.The spring constant is 100 N/m; the damping constant is 8.0 x 10^-3 kg∙m/s, and the mass is 0.050 kg.If the particle starts at its maximum displacement, x = 1.5 m, at time t = 0, what is the angular frequency of the oscillations?

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Question 24

A particle is in simple harmonic motion with period T.At time t=0 it is halfway between the equilibrium point and an end point of its motion, travelling toward the end point.The next time it is at the same place is:

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Question 25

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.

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Question 26

A simple pendulum consists of a small ball tied to a string and set in oscillation.As the pendulum swings the tension in the string is:

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Question 27

Two identical undamped oscillators have the same amplitude of oscillation only if:

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Question 28

A disk whose rotational inertia is 450 kg∙m² hangs from a wire whose torsion constant is 2300 N∙m/rad.What is the angular frequency of its torsional oscillations?

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Question 29

A weight suspended from an ideal spring oscillates up and down with a period T.If the amplitude of the oscillation is doubled, the period will be:

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Question 30

Two uniform spheres are pivoted on horizontal axes that are tangent to their surfaces.The one with the longer period of oscillation is the one with:

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Question 31

This plot shows a mass oscillating as x = x_m cos (ωt + φ).What are x_m and φ?

(Multiple Choice)

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Question 32

A sinusoidal force with a given amplitude is applied to an oscillator.At resonance the amplitude of the oscillation is limited by:

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Question 33

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 kinetic energy is 8 J, it is at:

(Multiple Choice)

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Question 34

An object is undergoing simple harmonic motion.Throughout a complete cycle it:

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Question 35

A particle oscillating in simple harmonic motion is:

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Question 36

The displacement of an object oscillating on a spring is given by x(t)= x_mcos( $\omega$ t + $\phi$ ).If the object is initially displaced in the negative x direction and given a negative initial velocity, then the phase constant $\phi$ is between:

(Multiple Choice)

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Question 37

Below are sets of values for the spring constant k, damping constant b, and mass m for a particle in damped harmonic motion.Which of the sets takes the longest time for its mechanical energy to decrease to one-fourth of its initial value?

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Question 38

The rotational inertia of a uniform thin rod about its end is ML²/3, where M is the mass and L is the length.Such a rod is hung vertically from one end and set into small amplitude oscillation.If L = 1.0 m this rod will have the same period as a simple pendulum of length:

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Question 39

Let U be the potential energy (with the zero at zero displacement)and K be the kinetic energy of a simple harmonic oscillator.U_avg and K_avg are the average values over a cycle.Then:

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Question 40

Showing 21 - 40 of 75

Exam 15: Oscillations

The displacement of an object oscillating on a spring is given by x(t)= xmcos( ω \omega ω t + ϕ\phiϕ ).If the initial displacement is zero and the initial velocity is in the negative x direction, then the phase constant ϕ\phiϕ is:

An oscillator is driven by a sinusoidal force.The frequency of the applied force:

A particle is in simple harmonic motion along the x axis.The amplitude of the motion is xm.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 it is at x = -1/2 xm, the kinetic and potential energies are:

A particle undergoes damped harmonic motion.The spring constant is 100 N/m; the damping constant is 8.0 x 10-3 kg∙m/s, and the mass is 0.050 kg.If the particle starts at its maximum displacement, x = 1.5 m, at time t = 0, what is the angular frequency of the oscillations?

A particle is in simple harmonic motion with period T.At time t=0 it is halfway between the equilibrium point and an end point of its motion, travelling toward the end point.The next time it is at the same place is:

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.

A simple pendulum consists of a small ball tied to a string and set in oscillation.As the pendulum swings the tension in the string is:

Two identical undamped oscillators have the same amplitude of oscillation only if:

A disk whose rotational inertia is 450 kg∙m2 hangs from a wire whose torsion constant is 2300 N∙m/rad.What is the angular frequency of its torsional oscillations?

A weight suspended from an ideal spring oscillates up and down with a period T.If the amplitude of the oscillation is doubled, the period will be:

Two uniform spheres are pivoted on horizontal axes that are tangent to their surfaces.The one with the longer period of oscillation is the one with:

This plot shows a mass oscillating as x = xm cos (ωt + φ).What are xm and φ?

A sinusoidal force with a given amplitude is applied to an oscillator.At resonance the amplitude of the oscillation is limited by:

A particle is in simple harmonic motion along the x axis.The amplitude of the motion is xm.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 kinetic energy is 8 J, it is at:

An object is undergoing simple harmonic motion.Throughout a complete cycle it:

A particle oscillating in simple harmonic motion is:

The displacement of an object oscillating on a spring is given by x(t)= xmcos( ω \omega ω t + ϕ\phiϕ ).If the object is initially displaced in the negative x direction and given a negative initial velocity, then the phase constant ϕ\phiϕ is between:

Below are sets of values for the spring constant k, damping constant b, and mass m for a particle in damped harmonic motion.Which of the sets takes the longest time for its mechanical energy to decrease to one-fourth of its initial value?

The rotational inertia of a uniform thin rod about its end is ML2/3, where M is the mass and L is the length.Such a rod is hung vertically from one end and set into small amplitude oscillation.If L = 1.0 m this rod will have the same period as a simple pendulum of length:

Let U be the potential energy (with the zero at zero displacement)and K be the kinetic energy of a simple harmonic oscillator.Uavg and Kavg are the average values over a cycle.Then:

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The displacement of an object oscillating on a spring is given by x(t)= x_mcos( $\omega$ t + $\phi$ ).If the initial displacement is zero and the initial velocity is in the negative x direction, then the phase constant $\phi$ is:

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 it is at x = -1/2 x_m, the kinetic and potential energies are:

A particle undergoes damped harmonic motion.The spring constant is 100 N/m; the damping constant is 8.0 x 10^-3 kg∙m/s, and the mass is 0.050 kg.If the particle starts at its maximum displacement, x = 1.5 m, at time t = 0, what is the angular frequency of the oscillations?

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.

A disk whose rotational inertia is 450 kg∙m² hangs from a wire whose torsion constant is 2300 N∙m/rad.What is the angular frequency of its torsional oscillations?

This plot shows a mass oscillating as x = x_m cos (ωt + φ).What are x_m and φ?

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 kinetic energy is 8 J, it is at:

The displacement of an object oscillating on a spring is given by x(t)= x_mcos( $\omega$ t + $\phi$ ).If the object is initially displaced in the negative x direction and given a negative initial velocity, then the phase constant $\phi$ is between:

The rotational inertia of a uniform thin rod about its end is ML²/3, where M is the mass and L is the length.Such a rod is hung vertically from one end and set into small amplitude oscillation.If L = 1.0 m this rod will have the same period as a simple pendulum of length:

Let U be the potential energy (with the zero at zero displacement)and K be the kinetic energy of a simple harmonic oscillator.U_avg and K_avg are the average values over a cycle.Then: