phys quiz 1

As a pendulum swings through its cycle, the mass is moving fastest and has its greatest acceleration at the bottom of the swing.

False

If both the mass of a simple pendulum and its length are doubled, the period will

increase by a factor of 1.4

A mass is oscillating at the end of a spring. Neither the period of oscillation nor the maximum speed of the mass depend on the amplitude of the motion.

False

If pendulum A is twice as long as pendulum B, the period of oscillation of A will be twice as long as the period of B, even if they have different masses.

False

If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one correct choice.)

The angular frequency is doubled. , The period is reduced to one-half of what it was.

A heavy dart and a light dart are launched horizontally on a frictionless table by identical ideal springs. Both springs were initially compressed by the same amount. Which of the following statements about these darts are correct? (There could be more than one correct choice.)

The lighter dart leaves the spring moving faster than the heavy dart. , Both darts had the same initial elastic potential energy. , The darts both have the same kinetic energy just as they move free of the spring

If you double the mass of a pendulum, the period of vibration does not change.

True

Simple harmonic motion occurs only if the restoring force is directly proportional to the first power of the displacement.

True

A ball swinging at the end of a massless string, as shown in the figure, undergoes simple harmonic motion. At what point (or points) is the magnitude of the instantaneous acceleration of the ball the greatest?

A and D

A mass oscillates at the end of a spring. If you double both the mass and the spring constant, the period of oscillation is unchanged.

True

An object is attached to a vertical spring and bobs up and down between points A and B. Where is the object located when its elastic potential energy is a minimum?

midway between A and B

An object is attached to a vertical spring and bobs up and down between points A and B. Where is the object located when its kinetic energy is a maximum?

midway between A and B

If the frequency of a harmonic oscillator doubles, by what factor does the maximum value of acceleration change?

4

A heavy dart and a light dart are launched vertically by identical ideal springs. Both springs were initially compressed by the same amount. There is no significant air resistance. Which of the following statements about these darts are correct? (There could be more than one correct choice.)

At the maximum height, both darts have the same gravitational potential energy. The light dart goes higher than the heavy dart.

A simple pendulum having a bob of mass M has a period T. If you double M but change nothing else, the period would be:

T

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the acceleration of this system as a function of time?

Graph A

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the velocity of this system as a function of time?

Graph B

The figure shows a graph of the velocity v as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the acceleration of this system as a function of time?

Graph B

The graphs shown show the magnitude F of the force exerted by a spring as a function of the distance x the spring has been stretched. For which one of the graphs does the spring obey Hooke's law?

Graph B

A mass on a spring undergoes SHM. When the mass passes through the equilibrium position, which of the following statements about it are true? (There could be more than one correct choice.)

Its kinetic energy is a maximum. , Its elastic potential energy is zero. , Its acceleration is zero.

A simple pendulum has a period T on Earth. If it were used on Planet X, where the acceleration due to gravity is 3 times what it is on Earth, its period would be:

T / root 3

The total mechanical energy of a simple harmonic oscillating system is

a non-zero constant

An object is attached to a vertical spring and bobs up and down between points A and B. Where is the object located when its kinetic energy is a minimum?

at either A or B

For an object undergoing simple harmonic motion,

the acceleration is greatest when the displacement is greatest.

In simple harmonic motion, when is the speed the greatest? (There could be more than one correct choice.)

when the potential energy is a zero. , when the magnitude of the acceleration is a minimum