Question 1

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

Accepted Answer

A) constant 
B) proportional to the displacement 
C) inversely proportional to the displacement 
D) greatest when the velocity is greatest 
E) never greater than g 
A) constant 
B) proportional to the displacement 
C) inversely proportional to the displacement 
D) greatest when the velocity is greatest 
E) never greater than g

Question 2

An angular simple harmonic oscillator:

Accepted Answer

A) oscillates at an angle to the x axis 
B) oscillates along the y axis 
C) involves an angular displacement and a restoring torque 
D) involves an angular displacement and a restoring force 
E) involves a linear displacement and a restoring torque 
A) oscillates at an angle to the x axis 
B) oscillates along the y axis 
C) involves an angular displacement and a restoring torque 
D) involves an angular displacement and a restoring force 
E) involves a linear displacement and a restoring torque

Question 3

A simple pendulum has length L and period T.As it passes through its equilibrium position, the string is suddenly clamped at its mid-point.The period then becomes:

Accepted Answer

A) 2T 
B) T 
C) T/2 
D) T/4 
E) none of the above 
A) 2T 
B) T 
C) T/2 
D) T/4 
E) none of the above

Question 4

An angular simple harmonic oscillator is displaced 5.2 x 10-2 rad from its equilibrium position.If the torsion constant is 1200 N∙m/rad, what is the torque?

Accepted Answer

A) 12 N∙m 
B) 23 N∙m 
C) 43 N∙m 
D) 52 N∙m 
E) 62 N∙m 
A) 12 N∙m 
B) 23 N∙m 
C) 43 N∙m 
D) 52 N∙m 
E) 62 N∙m

Question 5

At the instant its angular displacement is 0.32 rad, the angular acceleration of a physical pendulum is -630 rad/s2.What is its angular frequency of oscillation?

Accepted Answer

A) 6.6 rad/s 
B) 14 rad/s 
C) 20 rad/s 
D) 44 rad/s 
E) 200 rad/s 
A) 6.6 rad/s 
B) 14 rad/s 
C) 20 rad/s 
D) 44 rad/s 
E) 200 rad/s

Question 6

Both the x and y coordinates of a point execute simple harmonic motion.The frequencies are the same but the amplitudes are different.The resulting orbit might be:

Accepted Answer

A) an ellipse 
B) a circle 
C) a parabola 
D) a hyperbola 
E) a square 
A) an ellipse 
B) a circle 
C) a parabola 
D) a hyperbola 
E) a square

Question 7

In simple harmonic motion, the displacement is maximum when the:

Accepted Answer

A) acceleration is zero 
B) velocity is maximum 
C) velocity is zero 
D) kinetic energy is maximum 
E) momentum is maximum 
A) acceleration is zero 
B) velocity is maximum 
C) velocity is zero 
D) kinetic energy is maximum 
E) momentum is maximum

Question 8

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

Accepted Answer

A) the amplitudes are the same but the frequencies are different 
B) the amplitudes and frequencies are both the same 
C) the amplitudes and frequencies are both different 
D) the phase constants are the same but the amplitudes are different 
E) the amplitudes and the phase constants are both different 
A) the amplitudes are the same but the frequencies are different 
B) the amplitudes and frequencies are both the same 
C) the amplitudes and frequencies are both different 
D) the phase constants are the same but the amplitudes are different 
E) the amplitudes and the phase constants are both different

Question 9

Which of the following is NOT required for a simple pendulum undergoing simple harmonic oscillation?

Accepted Answer

A) a point mass 
B) a massless string 
C) a small amplitude 
D) gravitational force 
E) a large spring constant 
A) a point mass 
B) a massless string 
C) a small amplitude 
D) gravitational force 
E) a large spring constant

Question 10

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?

Accepted Answer

A) a = 0.1 m 
B) a = 0.2 m 
C) a = 0.3 m 
D) a = 0.4 m 
E) a = 0.5 m 
A) a = 0.1 m 
B) a = 0.2 m 
C) a = 0.3 m 
D) a = 0.4 m 
E) a = 0.5 m

Question 11

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:

Accepted Answer

A) 0 J 
B) 12.5 J 
C) 25 J 
D) 37.5 J 
E) 50 J 
A) 0 J 
B) 12.5 J 
C) 25 J 
D) 37.5 J 
E) 50 J

Question 12

A block on a spring is subjected to an applied sinusoidal force AND to a damping force that is proportional to its velocity.The energy dissipated by damping is supplied by:

Accepted Answer

A) the potential energy of the spring 
B) the kinetic energy of the mass 
C) gravity 
D) friction 
E) the applied force 
A) the potential energy of the spring 
B) the kinetic energy of the mass 
C) gravity 
D) friction 
E) the applied force

Question 13

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

Accepted Answer

A) the displacement is zero 
B) the displacement is maximum 
C) the speed is maximum 
D) the force is zero 
E) the speed is between zero and its maximum 
A) the displacement is zero 
B) the displacement is maximum 
C) the speed is maximum 
D) the force is zero 
E) the speed is between zero and its maximum

Question 14

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

Accepted Answer

A) zero 
B) less than g 
C) more than g 
D) suddenly changing in sign 
E) none of these 
A) zero 
B) less than g 
C) more than g 
D) suddenly changing in sign 
E) none of these

Question 15

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:

Accepted Answer

A) 0.13 m 
B) 0.18 m 
C) 3.7 m 
D) 5.2 m 
E) 13 m 
A) 0.13 m 
B) 0.18 m 
C) 3.7 m 
D) 5.2 m 
E) 13 m

Exam 15: Oscillations

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

An angular simple harmonic oscillator:

A simple pendulum has length L and period T.As it passes through its equilibrium position, the string is suddenly clamped at its mid-point.The period then becomes:

An angular simple harmonic oscillator is displaced 5.2 x 10-2 rad from its equilibrium position.If the torsion constant is 1200 N∙m/rad, what is the torque?

At the instant its angular displacement is 0.32 rad, the angular acceleration of a physical pendulum is -630 rad/s2.What is its angular frequency of oscillation?

Both the x and y coordinates of a point execute simple harmonic motion.The frequencies are the same but the amplitudes are different.The resulting orbit might be:

In simple harmonic motion, the displacement is maximum when the:

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

Which of the following is NOT required for a simple pendulum undergoing simple harmonic oscillation?

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:

A block on a spring is subjected to an applied sinusoidal force AND to a damping force that is proportional to its velocity.The energy dissipated by damping is supplied by:

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

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

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:

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An angular simple harmonic oscillator is displaced 5.2 x 10^-2 rad from its equilibrium position.If the torsion constant is 1200 N∙m/rad, what is the torque?

At the instant its angular displacement is 0.32 rad, the angular acceleration of a physical pendulum is -630 rad/s².What is its angular frequency of oscillation?