Exam 14: Oscillations

Use the figure to answer the next problem. A spring of negligible mass and spring constant k is attached to the wall on one end,and the other end is attached to the center of mass axis of a solid sphere of mass m and radius r.The spring is stretched a distance A from equilibrium and let go.The sphere rolls freely on a smooth surface. -What is the rotational kinetic energy when the sphere is at the equilibrium position?

A simple pendulum has a mass of 10 kg.The length of the pendulum is 1.0 m.The work required to move the pendulum from its vertical position at rest to a horizontal position at rest is approximately

A particle is moving with SHM.If it has velocities of 6 cm/s and 2 cm/s when it is at positions 4 cm and 7 cm respectively from the equilibrium position,then calculate its period of oscillation.

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

A body oscillates with simple harmonic motion according to the equation where the units are SI.The speed of the body when it has a displacement of 3 m is

A particle moving in simple harmonic motion with a period T = 1.5 s passes through the equilibrium point at time t₀ = 0 with a velocity of 1.00 m/s to the right.A time t later,the particle is observed to move to the left with a velocity of 0.50 m/s.(Note the change in direction of the velocity.)The smallest possible value of the time t is

A giant simple pendulum has a time period of 5.00 s at a particular place.If the time period is changed to 4.65 s by shortening the string by 1.0 m,calculate the acceleration due to gravity at this place.

A uniform disk (I_cm = MR²)of mass M and radius R is suspended from a point on its rim.If it oscillates as a physical pendulum its period is

The instantaneous speed of a mass undergoing simple harmonic motion on the end of a spring depends on

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

Two clocks with basic timekeeping mechanisms consisting of (1)a mass on a spring and (2)a simple pendulum are taken to the top of a mountain.At the base of the mountain,they both keep perfect time.At the top of the mountain,

A mass m hanging on a spring with a spring constant k executes simple harmonic motion with a period T.If the same mass is hung from a spring with a spring constant of 2k,the period of oscillation

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

If the length of a simple pendulum with a period T is reduced to half of its original value,the new period T is approximately

A 0.5-kg mass is suspended from a massless spring that has a force constant of 79 N/m.The mass is displaced 0.1m down from its equilibrium position and released.If the downward direction is negative,the displacement of the mass as a function of time is given by

In the following equations,a is acceleration,r is a fixed distance,s is displacement,and m is mass.Which equation describes simple harmonic motion?

A 0.454-kg block starts from rest and slides 3.05 m down a frictionless plane inclined at 53º to the horizontal.At the bottom it slides 9.14 m over a horizontal frictionless plane before compressing a spring (k = 14.7 N/m)a distance x and coming momentarily to rest.The value of x is approximately

The energy of an oscillator decreases by 10% each cycle.The quality factor of this oscillator is approximately

Use the following to answer the question: -The object in the diagram is in circular motion with frequency f.At t = 0 it was at (A,0).The y component of its acceleration is given by

To double the period of a pendulum,the length