Exam 14: Periodic Motion

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 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?

In designing buildings to be erected in an area prone to earthquakes,what relationship should the designer try to achieve between the natural frequency of the building and the typical earthquake frequencies?

An object weighing 44.1 N hangs from a vertical massless ideal spring.When set in vertical motion,the object obeys the equation . (a)Find the time for this object to vibrate one complete cycle. (b)What are the maximum speed and maximum acceleration of the object. (c)What is the TOTAL distance the object moves through in one cycle. (d)Find the maximum kinetic energy of the object. (e)What is the spring constant of the spring.

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?

An object of mass of 2.0 kg hangs from an ideal massless spring with a spring constant of 50 N/m.An oscillating force F = (4.8 N)cos[(3.0 rad/s)t] is applied to the object.What is the amplitude of the resulting oscillations? You can neglect damping.

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 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 find the acceleration of the block.

A mass M is attached to an ideal massless spring.When this system is set in motion,it has a period T.What is the period if the mass is doubled to 2M?

A restoring force of magnitude F acts on a system with a displacement of magnitude x.In which of the following cases will the system undergo simple harmonic motion?

An object is undergoing simple harmonic motion with frequency f = 9.7 Hz and an amplitude of 0.12 m.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 1.5-kg mass attached to an ideal massless spring with a spring constant of oscillates on a horizontal,frictionless track.At time ,the mass is released from rest at .(That is,the spring is stretched by 10.0 cm.) (a)Find the frequency of the oscillations. (b)Determine the maximum speed of the mass.At what point in the motion does the maximum speed occur? (c)What is the maximum acceleration of the mass? At what point in the motion does the maximum acceleration occur? (d)Determine the total energy of the oscillating system. (e)Express the displacement x as a function of time t.

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

A uniform meter stick is freely pivoted about the 0.20-m mark.If it is allowed to swing in a vertical plane with a small amplitude and friction,what is the frequency of its oscillations?

If we double only the mass of a vibrating ideal mass-and-spring system,the mechanical energy of the system

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 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 ?

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

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 12.0-N object is oscillating in simple harmonic motion at the end of an ideal vertical spring.Its vertical position y as a function of time t is given by . (a)What is the spring constant of the spring? (b)What is the maximum acceleration of the object? (c)What is the maximum speed that the object reaches? (d)How long does it take the object to go from its highest point to its lowest point?

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?

Which of following graphs describes simple periodic motion with amplitude 2.00 cm and angular frequency 2.00 rad/s?