Simple Harmonic Motion and Waves

A pendulum as a 0.35 kg mass oscillating at a small angle from a light string of length 1.0 m.

What is the frequency of oscillations?

Round answer to two significant digits.

• 2.0 Hz

• 0.50 Hz

• 0.35 Hz

• 4.0 Hz

Two identical blocks connected to ideal springs are oscillating on a horizontal frictionless surface. The motion of the blocks A and B over time are shown in the graph.

Why are the periods different for block A and B?

• Block B has a longer period because it has a smaller amplitude.

• Block A has a longer period because it has a larger spring constant.

• Block B has a shorter period because it has a smaller amplitude.

• Block B has a shorter period because it has a larger spring constant.

A block attached to an ideal spring oscillates without friction on a horizontal table. A student makes the following measurements on the block.

What is the maximum kinetic energy of the block?

• 1.5 J

• 26 J

• 3.8 J

• 0.72 J

A block attached to an ideal spring oscillates horizontally without friction. The spring constant k is 100 N/m and the initial displacement is 3 m.

Which graph best represents the kinetic energy of the block over time?

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A student extends then releases a mass attached to a spring. A graph of the mass's displacement over time is shown

What is the velocity at 2 s?

• 1/2 cm/s

• 0 cm/s

• 4 cm/s

• -4 cm/s

A student extends then releases a mass attached to a spring. A graph of the mass's displacement over time is shown.

What is the period of the oscillation?

• 2 s

• 3 s

• 1 s

• 1/2 s

A 1.5 kg mass attached to an ideal spring oscillates horizontally with an amplitude of 0.30 m. The spring constant is 85 N/m.

What is the period of the mass's motion?

• 1.2 s

• 47 s

• 0.83 s

• 0.45 s

A pendulum has a mass of 0.060 kg swinging at a small angle from a light string, with a period of 1.4 s.

What is the length of the pendulum?

• 2.1 m

• 2.0 m

• 0.048 m

• 0.49 m

Two blocks connected to identical ideal springs are oscillating on a horizontal frictionless surface. The motion of the blocks A and B over time are shown in the graph.

Why are the periods different for blocks A and B?

• Block B has a longer period because it has more mass

• Block A has a longer period because it has more mass

• Block B has a shorter period because its smaller amplitude means the spring constant is bigger.

• Block A has a longer period because it has a larger amplitude.

A 0.2 kg block attached to an ideal spring oscillates horizontally without friction. The block's velocity over time is shown.

Which graph best represents the elastic potential energy of the block-spring system over time?

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