AP Physics C Simple Harmonic Motion

A block on a horizontal frictionless plane is attached to a spring, as shown below. The block oscillates along the x-axis with simple harmonic motion of amplitude A.

Which of the following statements about the block is correct?

• At x = 0, its velocity is zero.

• At x = 0, its acceleration is at a maximum.

• At x = A, its Force is at a maximum

• At x = A, its velocity is at a maximum.

• At x = A, its acceleration is zero.

A block on a horizontal frictionless plane is attached to a spring, as shown below. The block oscillates along the x-axis with simple harmonic motion of amplitude A.

Which of the following statements about energy is correct? Select two answers.

• The potential energy of the spring is at a minimum at x = 0.

• The potential energy of the spring is at a minimum at x = A.

• The kinetic energy of the block is at a minimum at x =0.

• The kinetic energy of the block is at a minimum at x =A.

• The kinetic energy of the block is always equal to the potential energy of the spring.

Tags

NGSS.HS-PS3-2

A pendulum with a period of 1 s on Earth, where the acceleration due to gravity is g, is taken to another planet, where its period is 2 s. The acceleration due to gravity on the other planet is most nearly

• g/4

• g/2

• g

• 2g

• 4g

An ideal massless spring is fixed to the wall at one end, as shown above. A block of mass M attached to the other end of the spring oscillates with amplitude A on a frictionless, horizontal surface. The maximum speed of the block is v_m. The force constant of the spring is

• Mg/A

• Mgv_m/2A

• M(v_m)²/2A

• M(v_m)²/A²

• M(v_m)²/2A²

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

The graph shows the reducing amplitude of a body in Simple Harmonic Motion (SHM).

This reduction in amplitude is known as ...

• dumping

• damping

• dampening

• doodling

Which of the pendulums would have the shortest period?

• 1

• 2

• 3

• 4

• 5

An object of mass 𝑚 is attached to a horizontal spring, stretched to a displacement 𝐴 from equilibrium and released, undergoing harmonic oscillations on a frictionless surface with period 𝑇 . The experiment is then repeated with a mass of 4𝑚. What’s the new period of oscillation?

• 2T

• T

• 4T

• T√2

A student attaches a block to a vertical spring so that the block-spring system will oscillate if the block-spring system is released from rest at a vertical position that is not the system’s equilibrium position. The system oscillates near Earth’s surface. The system is then taken to the Moon’s surface, where the gravitational field strength is nearly 1/6 that of the gravitational field strength near Earth's surface. Which of the following claims is correct about the period of oscillation for the system?

• The system has a longer period on Earth than on the Moon.

• The system has a shorter period on Earth than on the Moon.

• The system has the same period on Earth as the Moon.

• The period of oscillation cannot be determined without knowledge of the spring constant, the mass of the block, and the exact gravitational field strength near Earth’s surface and the Moon’s surface.

Tags

NGSS.HS-PS2-4

In any system in SHM, the restoring force acting on the mass in the system is proportional to

• the displacement

• the length of the pendulum

• the mass

• the frequency

An object is undergoing Simple Harmonic Motion and its position is given by x = 2π cos (5t). What is the amplitude of the object’s motion?

• π/4

• π/2

• π

• 2π

• 4π