A woman stands at the center of a platform. The woman and the platform rotate with an angular speed of 1.30 rad/s. Friction is negligible. Her arms are outstretched, and she is holding a dumbbell in each hand. In this position the total moment of inertia of the rotating system (platform, woman, and dumbbells) is 6.66 kg·m2. By pulling in her arms, the moment of inertia is reduced to 4.14 kg·m2. Find her new angular speed.

A thin rod has a length of 0.835 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.794 rad/s and a moment of inertia of 1.2 x 10-3 kg·m2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod?

In preparation for shooting a ball in a pinball machine, a spring (k = 703 N/m) is compressed by 0.0780 m relative to its unstrained length. The ball (m = 0.0567 kg) is at rest against the spring at point A. When the spring is released, the ball slides (without rolling) to point B, which is 0.395 m higher than point A. How fast is the ball moving at B?

Solution Preview

From the conservation of angular momentum ...

Solution Summary

This Solution contains calculations to aid you in understanding the Solution to this question.

Square object of mass {m} is constructed of four identical uniform thin sticks, each of length {L}, attached together. This object is hung on a hook at its upper corner.
If it is rotated slightly to the left and then released, at what frequency will it swing back and forth?
Answer must be expressed in terms of the variables

Please see the attached file.
A piston executes simpleharmonicmotion with amplitude of 0.1 m. If it passes through the center of its motion with a speed of 0.5 m/s, what are the maximum accelerations and the period of oscillation?

An object executing simpleharmonicmotion has a maximum speed of 4.3 m/s and a maximum acceleration of 0.65 m/s^2.
Find (a) the amplitude and (b) the period of this motion.

Which one of the following quantities is at a maximum when an object in simpleharmonicmotion is at its maximum displacement?
a. speed
b. acceleration
c. kinetic energy
d. frequency
7. An object moving in simpleharmonicmotion has an amplitude of 0.020 m and a maximum acceleration of 40 m/s2. What is the frequency of th

An 0.50 kg object is attached to one end of a spring, and the system is set into simpleharmonicmotion. The displacement x of the object as a function of time is shown in the drawing below. With the aid of this data, determine the following values.
(a) amplitude A of the motion
(b) angular frequency
(c) spring c

A body moving with SimpleHarmonicMotion with a frequency of 3Hz has a maximum velocity of 2.5m/s. Find its velocity. Please see attached file for further details regarding problem.
Question - SimpleHarmonicMotion
A body moving with SimpleHarmonicMotion with a frequency of 3Hz has a maximum velocity of 2.5m/s. Find it

Name three example of objects from eveyday life that exhibit SimpleHarmonicMotion and estimate the period of the oscillations. if the period changes under certain conditions, discuss what parameters of the object affect the period and how they do so ?

A 10-g particle is undergoing simpleharmonicmotion with an amplitude of 2.0 x 10^-3 m and a maximum acceleration of magnitude 8.0 x 10^-3 m/s^2. The phase angle is -pi/3 rad.
a) Write and equation for the force on the particle as a function of time.
b) What is the period of the motion?
c) What is the maximum speed of the p

1) Explain in your own words:
a) How is simpleharmonic oscillation defined?
b) What is de Broglie wavelength?
c) Why will one not see an interference pattern for white light in the case of two slits?
d) Explain the expression wavelength so that your 10 year old brother can understand.
e) What is the difference between the