AP Physics Simple Harmonic Review

A simple pendulum of length l. whose bob has mass m, oscillates with a period T. If the bob is replaced by one of mass 4.0 m, the period of oscillation is

• .25 T

• .50 T

• T

• 2 T

• 4 T

Which of the following is true for a system consisting of a mass oscillating on the end of an ideal spring?

• The kinetic and potential energies are equal at all times.

• The kinetic and potential energies are both constant.

• The maximum potential energy is achieved when the mass passes through its equilibrium position.

• The maximum kinetic energy and maximum potential energy are equal, but occur at different times.

• The maximum kinetic energy occurs at maximum displacement of the mass from its equilibrium position.

Tags

NGSS.HS-PS3-2

A 0. 1 -kilogram block is attached to an initially unstretched spring of force constant k = 40 newtons per meter as shown. The block is released from rest at time t = 0.

What is the amplitude of the resulting simple harmonic motion of the block?

• 1/40 m

• 1/20 m

• 1/4 m

• 1/2 m

• 1m

Tags

NGSS.HS-PS2-1

A 0. 1 -kilogram block is attached to an initially unstretched spring of force constant k = 40 newtons per meter as shown. The block is released from rest at time t = 0.

At what time after release will the block first return to its initial position?

• ^{π/40 s}

• π/20 s

• π/4 s

• π/10 s

• π/5 s

Tags

NGSS.HS-PS2-1

A particle moves in simple harmonic motion represented by the graph. Which of the following represents the velocity of the particle as a function of time?

• v(t) = 4 cos πt

• v(t)= π cosπt

• v(t) = –π² cos πt

• v(t) = –4 sin πt

• v(t) = –4π sin πt

Refer to the graph below of the displacement x versus time t for a particle in simple harmonic motion. Which of the following graphs shows the kinetic energy K of the particle as a function of time t for one cycle of motion?

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• 
• 
• 
• 

Refer to the graph below of the displacement x versus time t for a particle in simple harmonic motion. Which of the following graphs shows the kinetic energy K of the particle as a function of time t for one cycle of motion?

• 
• 
• 
• 
• 

Tags

NGSS.HS-PS3-2

A particle moves in a circle in such a way that the x and y-coordinates of its motion are given in meters as functions of time t in seconds by:

x = 5 cos (3t) y = 5 sin (3t)

What is the period of revolution of the particle?

• 1/3 s

• 3 s

• 2π/3 s

• 3π/2 s

• 6π s

A particle moves in a circle in such a way that the x and y-coordinates of its motion are given in meters as functions of time t in seconds by:

x = 5 cos (3t) y = 5 sin (3t)

Which of the following is true of the speed of the particle?

• It is always equal to 5 m/s.

• It is always equal to 15 m/s

• It oscillates between 0 and 5 m/s

• It oscillates between 0 and 15 m/s

• It oscillates between 5 and 15 m/s.

When a mass m is hung on a certain ideal spring, the spring stretches a distance d. If the mass is then set oscillating on the spring, the period of oscillation is proportional to

• A

• B

• C

• D

• E