SHM

Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium

point is false?

• The displacement is directly related to the acceleration.

• The acceleration and velocity vectors always point in the same direction.

• The acceleration vector is always toward the equilibrium point.

• The acceleration and displacement vectors always point in opposite directions

Which of the following are most likely to result in simple harmonic motion? Select two answers.

• A hole is drilled through one end of a meter stick, which is hung vertically from a frictionless axle. The bottom of the meter stick is displaced 12 degrees and released.

• A hole is drilled through one end of a meter stick, which is hung vertically from a rough axle. The bottom of the meter stick is displaced 12 degrees and released. Every time the meter stick swings back and forth the axle squeaks.

• A block is hung vertically from a linear spring. The opposite end of the spring is attached to a stationary point. The entire apparatus is placed in deep space. The block is displaced 4 cm from equilibrium and released.

• A block is placed on a frictionless surface and attached to a non-linear spring. The opposite end of the spring is attached to a wall. The block is displaced 2 cm from equilibrium and released.

Which of the following factors affects the period of a simple pendulum that is oscillating in SHM?

I. Mass II. Length III. Amplitude

• I only

• II only

• I and II only

• II and III only

Which of the following factors affects the period of a mass-spring system that is oscillating in SHM?

I. Mass II. Spring Constant

III. Amplitude

• I only

• II only

• I and II only

• II and III only

A certain mass-spring system oscillates with a period T.

A second mas-spring has 8 times the mass of the first, and twice as large of a spring constant as the first.

What is the period of the second spring?

• T/4

• T/2

• 2T

• 4T

A ball of mass m on a string swings back and forth to a maximum angle of 30° to the vertical. Which of the following vectors represents the acceleration, a, of the mass at the highest point in the swing above the ground?

• A

• B

• C

• D

• E

A mass m = 2.0 kg is attached to a spring having a force constant k = 290 N/m. The mass is displaced from its equilibrium position and released.

Its frequency of oscillation is about ...

• 12 Hz

• 0.50 Hz

• 0.01 Hz

• 1.9 Hz

• 0.08 Hz

A mass m on a spring oscillates on a horizontal surface with period T. The total mechanical energy contained in this oscillation is E. Imagine that instead a new mass 4m oscillates on the same spring with the same

amplitude.

What is the new period and total mechanical energy?

• A

• B

• C

• D

• E

A block is attached to a free end of an ideal horizontal spring. The system rests on a horizontal frictionless surface. When the block is pulled to the right, stretching the spring from its equilibrium, and released, the system starts oscillations. The horizontal position of the block as a function of time is shown above.

When does the spring exert its maximum force on the block?

• 0.0 s

• 2.0 s

• 4.0 s

• 8.0 s

A student attaches a 0.6kg block to a vertical spring so that the block-spring system will oscillate if the block-spring system released from rest at a vertical position that is not the system’s equilibrium position. The velocity of the block as a function of time as the system oscillates, was graphed. The spring constant of the spring is most nearly

• 0.3 N/m

• 2.6 N/m

• 7.9 N/m

• 10.5 N/m