A Christmas ornament made from a thin hollow glass sphere hangs from a small hook at its surface.It is observed to oscillate with a frequency of 2.50 Hz in a city where g = 9.80 m/s2.What is the radius of the ornament? The moment of inertia of a hollow sphere of mass M and radius R about a point on its edge is 5MR2/3.

A) 1.84 cm B) 3.68 cm C) 2.38 cm D) 3.98 cm E) 4.69 cm A) 1.84 cm B) 3.68 cm C) 2.38 cm D) 3.98 cm E) 4.69 cm

A 3.42-kg stone hanging vertically from an ideal spring on the earth undergoes simple harmonic motion at a place where g = 9.80 m/s2.If the force constant (spring constant)of the spring is 12 N/m. Find the period of oscillation of this setup on a planet where g = 1.60 m/s2.

A) 3.35 s B) 2.51 s C) 4.36 s D) 5.70 s A) 3.35 s B) 2.51 s C) 4.36 s D) 5.70 s

Exam 13: Oscillations About Equilibrium

In 1851 Jean Bernard Leon Foucault demonstrated the rotation of the earth using a pendulum 11.0 m long,which was set up in the Paris Observatory.How long would it have taken for Foucault's pendulum to make one complete swing back to its starting point if g = 9.81 m/s² at the observatory?

(Multiple Choice)

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Question 21

An object is oscillating on a spring with a period of 4.60 s.At time t = 0.00 s the object has zero speed and is at x = 8.30 cm.What is the acceleration of the object at t = 2.50 s?

(Multiple Choice)

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(97)

Question 22

A Christmas ornament made from a thin hollow glass sphere hangs from a small hook at its surface.It is observed to oscillate with a frequency of 2.50 Hz in a city where g = 9.80 m/s².What is the radius of the ornament? The moment of inertia of a hollow sphere of mass M and radius R about a point on its edge is 5MR²/3.

(Multiple Choice)

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(94)

Question 23

On the Moon,the acceleration of gravity is g/6.If a pendulum has a period T on Earth,what will its period be on the Moon?

(Multiple Choice)

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(92)

Question 24

A simple pendulum and a mass oscillating on an ideal spring both have period T in an elevator at rest.If the elevator now accelerates downward uniformly at 2 m/s²,what is true about the periods of these two systems?

(Multiple Choice)

4.8/5

(86)

Question 25

Identical balls oscillate with the same period T on Earth.Ball A is attached to an ideal spring and ball B swings back and forth to form a simple pendulum.These systems are now taken to the Moon,where g = 1.6 m/s²,and set into oscillation.Which of the following statements about these systems are true? (There could be more than one correct choice. )

(Multiple Choice)

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Question 26

If the frequency of a system undergoing simple harmonic motion doubles,by what factor does the maximum value of acceleration change?

(Multiple Choice)

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Question 27

An object is attached to a vertical spring and bobs up and down between points A and B.Where is the object located when its kinetic energy is a maximum?

(Multiple Choice)

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Question 28

A 3.42-kg stone hanging vertically from an ideal spring on the earth undergoes simple harmonic motion at a place where g = 9.80 m/s².If the force constant (spring constant)of the spring is 12 N/m. Find the period of oscillation of this setup on a planet where g = 1.60 m/s².

(Multiple Choice)

4.8/5

(83)

Question 29

An object that hangs from the ceiling of a stationary elevator by an ideal spring oscillates with a period T.If the elevator accelerates upward with acceleration 2g,what will be the period of oscillation of the object?

(Multiple Choice)

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Question 30

A simple pendulum that consists of a small ball of mass m and a massless wire of length L swings with a period T.Suppose now that the mass is rearranged so that mass of the ball was reduced but the mass of the wire was increased,with the total mass remaining m and the length being L.What is true about the new period of swing? (There could be more than one correct choice. )

(Multiple Choice)

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Question 31

A pendulum that was originally erected by Foucault at the Pantheon in Paris for the Paris Exhibition in 1851 was restored in 1995.It has a 28.0-kg sphere suspended from a 67.0-m light cable.How long would it take for the bob in this pendulum to move from the position of maximum displacement down to the equilibrium point?

(Multiple Choice)

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Question 32

If the angular frequency of the motion of a simple harmonic oscillator is doubled,by what factor does the maximum acceleration of the oscillator change?

(Multiple Choice)

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Question 33

A thin hoop is supported in a vertical plane by a nail.What should the radius of the hoop be in order for it to have a period of oscillation of 1.00 s? The moment of inertia of a hoop of mass M and radius R about a point on its rim is 2MR².

(Multiple Choice)

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(67)

Question 34

An object is attached to a vertical spring and bobs up and down between points A and B.Where is the object located when its elastic potential energy is a maximum?

(Multiple Choice)

4.8/5

(84)

Question 35

An object is attached to a vertical spring and bobs up and down between points A and B.Where is the object located when its kinetic energy is a minimum?

(Multiple Choice)

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(81)

Question 36

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion.Which one of the following graphs represents the acceleration of this system as a function of time?

(Multiple Choice)

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Question 37

A 51.8-kg bungee jumper jumps off a bridge and undergoes simple harmonic motion.If the period of oscillation is 11.2 s,what is the spring constant (force constant)of the bungee cord?

(Multiple Choice)

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Question 38

If the amplitude of the motion of a simple harmonic oscillator is doubled,by what factor does the maximum speed of the oscillator change?

(Multiple Choice)

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Question 39

Grandfather clocks are designed so they can be adjusted by moving the weight at the bottom of the pendulum up or down.Suppose you have a grandfather clock at home that runs fast.Which of the following adjustments of the weight would make it more accurate? (There could be more than one correct choice. )

(Multiple Choice)

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(73)

Question 40

Showing 21 - 40 of 79

Exam 13: Oscillations About Equilibrium

In 1851 Jean Bernard Leon Foucault demonstrated the rotation of the earth using a pendulum 11.0 m long,which was set up in the Paris Observatory.How long would it have taken for Foucault's pendulum to make one complete swing back to its starting point if g = 9.81 m/s2 at the observatory?

An object is oscillating on a spring with a period of 4.60 s.At time t = 0.00 s the object has zero speed and is at x = 8.30 cm.What is the acceleration of the object at t = 2.50 s?

On the Moon,the acceleration of gravity is g/6.If a pendulum has a period T on Earth,what will its period be on the Moon?

A simple pendulum and a mass oscillating on an ideal spring both have period T in an elevator at rest.If the elevator now accelerates downward uniformly at 2 m/s2,what is true about the periods of these two systems?

If the frequency of a system undergoing simple harmonic motion doubles,by what factor does the maximum value of acceleration change?

An object is attached to a vertical spring and bobs up and down between points A and B.Where is the object located when its kinetic energy is a maximum?

A 3.42-kg stone hanging vertically from an ideal spring on the earth undergoes simple harmonic motion at a place where g = 9.80 m/s2.If the force constant (spring constant)of the spring is 12 N/m. Find the period of oscillation of this setup on a planet where g = 1.60 m/s2.

An object that hangs from the ceiling of a stationary elevator by an ideal spring oscillates with a period T.If the elevator accelerates upward with acceleration 2g,what will be the period of oscillation of the object?

If the angular frequency of the motion of a simple harmonic oscillator is doubled,by what factor does the maximum acceleration of the oscillator change?

A thin hoop is supported in a vertical plane by a nail.What should the radius of the hoop be in order for it to have a period of oscillation of 1.00 s? The moment of inertia of a hoop of mass M and radius R about a point on its rim is 2MR2.

An object is attached to a vertical spring and bobs up and down between points A and B.Where is the object located when its elastic potential energy is a maximum?

An object is attached to a vertical spring and bobs up and down between points A and B.Where is the object located when its kinetic energy is a minimum?

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion.Which one of the following graphs represents the acceleration of this system as a function of time?

A 51.8-kg bungee jumper jumps off a bridge and undergoes simple harmonic motion.If the period of oscillation is 11.2 s,what is the spring constant (force constant)of the bungee cord?

If the amplitude of the motion of a simple harmonic oscillator is doubled,by what factor does the maximum speed of the oscillator change?

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In 1851 Jean Bernard Leon Foucault demonstrated the rotation of the earth using a pendulum 11.0 m long,which was set up in the Paris Observatory.How long would it have taken for Foucault's pendulum to make one complete swing back to its starting point if g = 9.81 m/s² at the observatory?

A simple pendulum and a mass oscillating on an ideal spring both have period T in an elevator at rest.If the elevator now accelerates downward uniformly at 2 m/s²,what is true about the periods of these two systems?

A 3.42-kg stone hanging vertically from an ideal spring on the earth undergoes simple harmonic motion at a place where g = 9.80 m/s².If the force constant (spring constant)of the spring is 12 N/m. Find the period of oscillation of this setup on a planet where g = 1.60 m/s².

A thin hoop is supported in a vertical plane by a nail.What should the radius of the hoop be in order for it to have a period of oscillation of 1.00 s? The moment of inertia of a hoop of mass M and radius R about a point on its rim is 2MR².