Exam 14: Oscillations

A mass m = 8.0 kg is attached to a spring and allowed to hang in the Earth's gravitational field.The spring stretches 3.6 cm before it reaches its equilibrium position.If allowed to oscillate,what would be its frequency?

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

A 0.25 kg harmonic oscillator has a total oscillation energy of 4.0 J.If the oscillation amplitude is 20.0 cm,what is the oscillation frequency?

If the total energy of a harmonic oscillator is reduced by 1/3,what is the change in the amplitude of the oscillations?

A mass attached to a very light spring executes simple harmonic motion.If you want to double its total energy,you should

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

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:

For an object undergoing simple harmonic motion,

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.

A child on a swing set swings back and forth.If the length of the supporting cables for the swing is 4.9 m,what is the period of oscillation?

An object (object A) of mass M is attached to a spring with spring constant k. The other end of the spring is attached to a rigid wall. A second object (object B) of mass M is attached to two springs (one on each side of the object), each with a spring constant of k/2 (the other ends of the springs are attached to rigid walls). Each object is displaced and let go, causing harmonic motion. How does the frequency of oscillation of object A compare to that of object B?

The wheels on a particular moving car rotate 486 times per minute.Find the rotational period of the tires.

A 3.7 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 450 N/m.The block is pulled from its equilibrium position at x = 0 m to a displacement x = +0.080 m and is released from rest.The block then executes simple harmonic motion along the x-axis (horizontal).The maximum elastic potential energy of the system is closest to:

A disk and a ball both of radius r and mass m,are suspended at a point on the edge of the object at the maximum radius.Which has the smaller period of oscillation?

The length of a pendulum changes by thermal expansion.If the length increases by 0.1%,what would be the change in the period?

A 56.0 kg bungee jumper jumps off a bridge and undergoes simple harmonic motion.If the period of oscillation is 11.2 s,what is the spring constant of the bungee cord?

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:

An object undergoing simple harmonic motion has an amplitude of 2.3 m.If the maximum velocity of the object is 10 m/s,what is the object's angular frequency?

A 4.8 kg block attached to a spring executes simple harmonic motion on a frictionless horizontal surface.At time t = 0 s,the block has a displacement of -0.90 m,a velocity of -0.80 m/s,and an acceleration of +2.9 m/s².The force constant of the spring is closest to:

Two identical objects,each with a mass M,are attached to each other via a spring with a spring constant k.The two objects are oscillating such that one is always moving in the opposite direction and with the same speed as the other.If the spring were replaced with a stiffer spring having a spring constant equal to 2k,and the objects were replaced with objects having a mass of 2M,the period of oscillation would