Physics Chapter 14

A particle with a mass of 65 g is moving with simple harmonic motion. At time t = 0, the particle is at its extreme positive displacement of 18.0 cm. The period of the motion is 0.600 s. At time t = 1.35 s, the velocity of the particle is

-1.9 m/s

A particle moving with a simple harmonic motion has its maximum displacement of +18 cm at time t = 0. The frequency of the motion is 10 Hz. At a time t = 0.65 s, the position of the particle is

-18 cm

A light spring stretches 0.13 m when a 0.35 kg mass is hung from it. The mass is pulled down from this equilibrium position an additional 0.15 m and then released. Determine the maximum speed of the mass.

1.3 m/s

The acceleration of a particle moving with simple harmonic motion is given by a = -16.0x, where x is in meters and a is in meters per second squared. The period of the motion is

1.57 s

You have landed your spaceship on the moon and want to determine the acceleration due to gravity using a simple pendulum of length 1.0 m. If the period of this pendulum is 5.0 s, what is the value of g on the moon?

1.6 m/s2

A 2.5-kg object is attached to a spring of force constant k = 4.5 kN/m. The spring is stretched 10 cm from equilibrium and released. What is the kinetic energy of the mass-spring system when the mass is 5.0 cm from its equilibrium position?

17 J

The force constant of a massless spring is 25.0 N/m. A mass of 0.45 kg is oscillating in simple harmonic motion at the end of the spring with an amplitude of 0.32 m. The maximum speed of the mass is

2.4 m/s

A body of mass M is executing simple harmonic motion with an amplitude of 8.0 cm and a maximum acceleration of 100 cm/s2. When the displacement of this body from the equilibrium position is 6.0 cm, the magnitude of the acceleration is approximately

21 cm/s2

A light spring stretches 0.13 m when a 0.35-kg mass is hung from it. The mass is pulled down from this equilibrium position an additional 0.12 m and is released. Determine the spring constant k and the amplitude of vibration.

26.4 N/m and 0.12 m

A mass on a spring oscillates with an amplitude of 5.0 cm. What is the position of the mass when the kinetic and potential energies are equal?

3.5 cm

The period of oscillation of a simple pendulum of length 9.8 m and mass 5.0 kg is approximately

6.3 s

A ball moves back and forth in simple harmonic motion along a line 12 cm long. When the ball is 4 cm from the left-hand end of its path, it has an acceleration of 24 cm/s2. When the ball is 1 cm from the right-hand end of its path the magnitude of its acceleration is

60 cm/s2

An object is moving with simple harmonic motion. When the object is displaced 5 cm from its equilibrium point, its velocity is 15.0 cm/s. Calculate the amplitude of motion if its period of motion is 3.0 s.

8.7 cm

What must be the length of a simple pendulum with a period of 2.0 s if g = 9.8 m/s2?

99 cm

A 2.00-kg body is attached to a spring of negligible mass and oscillates with a period of 1.00 s. The force constant of the spring is

None of these is correct.

A clock keeps accurate time when the length of its simple pendulum is L. If the length of the pendulum is increased a small amount, which of the following is true?

The clock will run slow.

Which of the following statements is true of a particle that is moving in simple harmonic motion?

The force the particle experiences is a negative restoring force.

Any body moving with simple harmonic motion is being acted on by a force that is

directly proportional to the displacement.

When an object is oscillating in simple harmonic motion in the vertical direction, its maximum speed occurs when the object

is at the equilibrium point.

A system consists of a mass vibrating on the end of a spring. The total mechanical energy of this system

is constant, regardless of the displacement of the mass from the equilibrium position.

A body moving in simple harmonic motion has maximum acceleration when it has

minimum kinetic energy.

A mass attached to a spring has simple harmonic motion with an amplitude of 4.0 cm. When the mass is 2.0 cm from the equilibrium position, what fraction of its total energy is potential energy?

one-quarter

If the amplitude of a simple harmonic oscillator is doubled, the total energy is

quadrupled

When a body capable of oscillating is acted on by a periodic series of impulses having a frequency equal to one of the natural frequencies of oscillation of the body, the body is set in vibration with relatively large amplitude. This phenomenon is known as

resonance

A pendulum has simple harmonic motion provided that

the arc through which it swings is not too large.

Both a mass-spring system and a simple pendulum have a period of 1 s. Both are taken to the moon in a lunar landing module. While they are inside the module on the surface of the moon,

the pendulum has a period longer than 1 s.

The displacement in simple harmonic motion is a maximum when the

velocity is zero.

A particle is oscillating with simple harmonic motion. The frequency of the motion is 10 Hz and the amplitude of the motion is 5.0 cm. As the particle passes its central equilibrium position, the acceleration of the particle is

zero