Question 1

Resonance occurs when the angular speed of the external driving force is approximately equal to

Accepted Answer

A) the natural angular speed of the harmonic oscillator. 
B) its minimum value. 
C) its maximum value. 
D) None are correct. 
A) the natural angular speed of the harmonic oscillator. 
B) its minimum value. 
C) its maximum value. 
D) None are correct.

Question 2

What is the phase difference between the position and the acceleration for a particle in simple harmonic motion?

Accepted Answer

A) 90S1U1P1$\circ$S1S1P0 
B) 360S1U1P1$\circ$S1S1P0 
C) -90S1U1P1$\circ$S1S1P0 
D) 180S1U1P1$\circ$S1S1P0 
E) 0S1U1P1$\circ$S1S1P0 
A) 90S1U1P1$\circ$S1S1P0 
B) 360S1U1P1$\circ$S1S1P0 
C) -90S1U1P1$\circ$S1S1P0 
D) 180S1U1P1$\circ$S1S1P0 
E) 0S1U1P1$\circ$S1S1P0

Question 3

A 2.0-kg mass is connected to a 5.0-kg mass by a massless rod 32 cm long,as shown in the figure.A hole is then drilled in the rod 11 cm away from the 2.0-kg mass and the rod and masses are free to rotate about this pivot point P.What is the frequency of rotational oscillations for the masses if they are displaced slightly from equilibrium?

Accepted Answer

A) 1.4 Hz 
B) 5.3 Hz 
C) 2.9 Hz 
D) 0.53 Hz 
E) 0.92 Hz 
A) 1.4 Hz 
B) 5.3 Hz 
C) 2.9 Hz 
D) 0.53 Hz 
E) 0.92 Hz

Question 4

The figure shows mass m1 resting on top of mass m2 which is attached to a spring with spring constant 10 N/m,where m1 = m2 = 20 g.If the amplitude of the oscillation is 0.019 m.The masses are oscillating with SMH on a frictionless surface.What is the minimum coefficient of static friction between the two masses required to keep m1 from slipping off m2?

Accepted Answer

A) 0.60 
B) 0.36 
C) 0.12 
D) 0.48 
E) 0.24 
A) 0.60 
B) 0.36 
C) 0.12 
D) 0.48 
E) 0.24

Question 5

A 250-g metal cube connected to a light spring of constant 35 N/m oscillates on a horizontal,frictionless surface.The maximum velocity is 0.98 m/s.What is the amplitude of its motion?

Accepted Answer

A) 7.0 cm 
B) 4.0 cm 
C) 8.3 cm 
D) 9.1 cm 
E) 5.3 cm 
A) 7.0 cm 
B) 4.0 cm 
C) 8.3 cm 
D) 9.1 cm 
E) 5.3 cm

Question 6

A 5.0-kg mass attached to a spring is displaced 8.0 cm from equilibrium position.It is released and it oscillates with a frequency   .When the block is 2.0 cm from equilibrium,it has a speed of 3.0 m/s.What is the frequency of the oscillation? Assume that the surface is frictionless.

Accepted Answer

A) 1.2 Hz 
B) 2.4 Hz 
C) 4.6 Hz 
D) 5.8 Hz 
E) 6.2 Hz 
A) 1.2 Hz 
B) 2.4 Hz 
C) 4.6 Hz 
D) 5.8 Hz 
E) 6.2 Hz

Exam 14: Oscillations

Resonance occurs when the angular speed of the external driving force is approximately equal to

What is the phase difference between the position and the acceleration for a particle in simple harmonic motion?

A 250-g metal cube connected to a light spring of constant 35 N/m oscillates on a horizontal,frictionless surface.The maximum velocity is 0.98 m/s.What is the amplitude of its motion?

A 5.0-kg mass attached to a spring is displaced 8.0 cm from equilibrium position.It is released and it oscillates with a frequency .When the block is 2.0 cm from equilibrium,it has a speed of 3.0 m/s.What is the frequency of the oscillation? Assume that the surface is frictionless.

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