A system is rotated and solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

Full solution please.
Answer is provided
Link to chapter for online book:
http://books.google.com/books?id=0a8dk0eDxgEC&lpg=PP1&dq=kibble%20classical%20mechanics&pg=PA105#v=onepage&q=&f=false

Given the radius of a proton is approximately 1x10^-15m, assume that it is a rotating, uniformly charged sphere with a magnetic moment of 4.5x10^-26 J/T.
a) First demonstrate that J/T is equivalent to Am^2
b) What is the approximate angular frequency of the proton?

A point is rotating about the circle of radius 1 in the counterclockwise direction. It takes 8.4 minutes to make one revolution. Assuming it starts on the positive x-axis, what are the coordinates of the point in 7.4 minutes?

The region R is bounded by the graphs of x-2y = 3 and x=y^2. Set up (but not evaluate) the integral that gives the volume of the solid obtained by rotating R around the line x=-1.

For what initial velocity and direction of the puck will it (the puck) appear motionless when viewed from above (ie the motionless reference frame).
See attached file for full problem description.
Note for clarification. The initial position refers to the puck is: (x = -.5R, y = 0)

A cylinder of mass M and radius R is rotated in a uniform V grove (which looks like a rectangular block with an 45-45-90 degree triangular prism cut from the center- that the cylinder rotates in) The cylinder has a constant angular velocity w and a coefficient of friction u with each surface. What torque must be applied to the c

A solid cylinder of mass 4.1 kg and radius 23 cm rotates with angular speed of 5.0 rev/s. Another object is brought in contact with the cylinder while rotating causing a tangential force of friction equal to 2.5 N. How long will it take for the cylinder to stop?

A thin disk of dielectric material with radius a has a total charge +Q distributed uniformly over its surface. It rotates n times per second about an axis perpendicular to the surface of the disk and passing through its centre. Find the magnetic field at the centre of the disk.

Question (1)
What is the volume of the solid of revolution obtained by rotating the region bounded by y = 1 and y = 5 - x^2 around the X-axis.
Question (2)
Find the volume of the solid of revolution obtained by rotating the region bounded by y = 1 and y = Tan x about the x-axis from x = 0 to x = pi/4.
See attached file