Exam 15: Oscillations

In the figure,two masses,M = 16 kg and m = 12.8.0 kg,are connected to a very light rigid bar and are attached to an ideal massless spring of spring constant 100 N/m.The system is set into oscillation with an amplitude of 78 cm.At the instant when the acceleration is at its maximum,the 16-kg mass separates from the 12.8.0-kg mass,which then remains attached to the spring and continues to oscillate.What will be the amplitude of oscillation of the 12.8.0-kg mass?

A simple harmonic oscillator has an amplitude of 3.50 cm and a maximum speed of 26.0 cm/s.What is its speed when the displacement is 1.75 cm?

An object of mass 6.8 kg is attached to an ideal massless spring of spring constant 1690 N/m.The object is Calculate the maximum speed the object reaches during its motion.

A 0.025-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is The block is pulled from its equilibrium position at x = 0.00 m to a displacement x = +0.080 m and is released from rest.The block then executes simple harmonic motion along the horizontal x-axis.When the displacement is what is the kinetic energy of the block?

The position of an object that is oscillating on an ideal spring is given by the equation x = (12.3 cm)cos[(1.26s^-1)t].At time t = 0.815 s, (a)how fast is the object moving? (b)what is the magnitude of the acceleration of the object?

A long thin uniform rod of length 1.50 m is to be suspended from a frictionless pivot located at some point along the rod so that its pendulum motion takes 3.00 s.How far from the center of the rod should the pivot be located?

A 0.50-kg object is attached to an ideal massless spring of spring constant 20 N/m along a horizontal,frictionless surface.The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. (a)What is the amplitude of vibration? (b)At what location are the kinetic energy and the potential energy of the system the same?

A frictionless pendulum released from 65 degrees with the vertical will vibrate with the same frequency as if it were released from 5 degrees with the vertical because the period is independent of the amplitude and mass.

A frictionless pendulum clock on the surface of the earth has a period of 1.00 s.On a distant planet,the length of the pendulum must be shortened slightly to have a period of 1.00 s.What is true about the acceleration due to gravity on the distant planet?

A 0.28-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is The block is pulled from its equilibrium position at x = 0.00 m to a displacement x = +0.080 m and is released from rest.The block then executes simple harmonic motion along the horizontal x-axis.When the displacement is x = -0.052 m,find the acceleration of the block.

An ideal massless spring with a spring constant of 2.00 N/m is attached to an object of 75.0 g.The system has a small amount of damping.If the amplitude of the oscillations decreases from 10.0 mm to 5.00 mm in 15.0 s,what is the magnitude of the damping constant b?

A 2.25-kg object is attached to a horizontal an ideal massless spring on a frictionless table.What should be the spring constant of this spring so that the maximum acceleration of the object will be g when it oscillates with amplitude of 4.50 cm?

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,assuming it has negligible mass compared to that of the jumper?

An object of mass 8.0 kg is attached to an ideal massless spring and allowed to hang in the Earth's gravitational field.The spring stretches 3.6 cm before it reaches its equilibrium position.If this system is allowed to oscillate,what will be its frequency?

An object is attached to a vertical ideal massless spring and bobs up and down between the two extreme points A and B.When the kinetic energy of the object is a minimum,the object is located

A frictionless simple pendulum on Earth has a period of 1.75 s.On Planet X its period is 2.14 s.What is the acceleration due to gravity on Planet X?

An object is executing simple harmonic motion.What is true about the acceleration of this object? (There may be more than one correct choice.)

An object is undergoing simple harmonic motion with frequency f = 9.7 Hz and an amplitude of .At t = 0.00 s the object is at x = 0.00 m.How long does it take the object to go from .00 m to

A 1.6-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 190 N/m.The block is pulled from its equilibrium position at x = 0.00 m to a displacement x = +0.080 m and is released from rest.The block then executes simple harmonic motion along the horizontal x-axis.What is the velocity of the block at time T = 0.40 s?

A large stick is pivoted about one end and allowed to swing back and forth with no friction as a physical pendulum.The mass of the stick is and its center of gravity (found by finding its balance point)is from the pivot.If the period of the swinging stick is what is the moment of inertia of the stick about an axis through the pivot?