PLEASE SHOW STEPS THOROUGHLY SO I CAN UNDERSTAND ALSO! THANK YOU!! (: An amuseme

Question

PLEASE SHOW STEPS THOROUGHLY SO I CAN UNDERSTAND ALSO! THANK YOU!! (:

An amusement park sheld up against the wall when the floor drops away (see Figure 2). The coefficient of 0.40, and the radius of the cylinder is R = 4.0 m. ride consists of a large vertical cylinder that spins about its axis fast enough that static friction atic friction between the p Calculate the marimum period T of revolution necessary to keep the person from falling Note ersonand they all is , general, T = 2TT/U, Assume two significant digits.

Explanation / Answer

let the speed of rotation be v.

in the given case, as the person is upright against the wall, the frictional force prevents the person from falling.

frictional force = u*Normal reaction.

now, since the cylinder is rotating, normal reaction = centrifugl force = mv^2/r

so, frictional force = u*mv^2/r

balancing the force in the vertical direction,

frictional force = gravitational force

or mv^2/r *u = mg

or v^2 * u =gr

or v^2 * 0.4 = 9.81*4

or v=9.90 m/s

so T = 2*pi*r/v

=2*pi*4/9.9

=2.53 s

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