An amusement park ride consist of a large verticle cylinder that spins about its axis first fast enough that any person inside is held up againest the wall when the is `mu_(s)` and the radius of the cylider is R

a. Shown that maximum period of revolation neccessary to keep the person from falling is `T = (4 pi^(2) mu_(s) //g)^(1//2)`
b. Obtain a numerical value for taking `R = 4.00m` and `mu_(s) = 0.400` . How many revolations per minute does the cylinder make?
c.If the rate of revolation of the cylinder is make to be some what larger what happens to the magnitude of each one of the forces acting on the person ? What happens to the motion of the person ?
d.If instead the cylinder rate revolation is made to be somewhat smaller what happens to the magnitude happens to the motion of the person ?

An amusement park ride consist of a large verticle cylinder that spins about its axis first fast enough that any person inside is held up againest the wall when the is mu_(s) and the radius of the cylider is R a. Shown that maximum period of revolation neccessary to keep the person from falling is T = (4 pi^(2) mu_(s) R //g)^(1//2) b. Obtain a numerical value for T taking R = 4.00m and mu_(s) = 0.400 . How many revolations per minute does the cylinder make? c. If the rate of revolation of the cylinder is make to be some what larger what happens to the magnitude of each one of the forces acting on the person ? What happens to the motion of the person ? d. If instead the cylinder rate revolution is made to be somewhat smaller what happens to the magnitude and what happens to the motion of the person ?

A person stands in contact against the inner wall of a rotor of radius r. The coefficient of friction between the wall and the clothing is mu and the rotor is rotating about vertical axis. The minimum angular speed of the rotor so that the person does not slip downward is

A person stands in contact against the inner wall of a rotor of radius r. The coefficient of friction between the wall and the clothing is mu and the rotor is rotating about vertical axis. The minimum angular speed of the rotor so that the person does not slip downward is

A uniform cylinder of radius R is spinned about it axis to the angular velocity omega_(0) and then placed into a corner,. The coeficient of friction between the corner walls and the cylinder is mu_(k) How many turns will the cylinder accomplish before it stops?

A uniform cylinder of radius R is spinned about it axis to the angular velocity omega_(0) and then placed into a corner,. The coeficient of friction between the corner walls and the cylinder is mu_(k) How many turns will the cylinder accomplish before it stops?

In amusement parks there is a device called rotor where people stand on a platform inside a large cylinder that rotates about a vertical axis. When the rotor reaches a certain angular velocity, the platform drops away. Find the minimum coefficient of friction for the people not to a slide down. Take the radius to be 2m and the period to be 2s .

The moment of inertia of a solid sphere about an axis passing through the centre radius is 1/2MR^(2) , then its radius of gyration about a parallel axis t a distance 2R from first axis is