Problem 8 Friction Circles (a) A box of mass m sits in the back of a truck that is driving at constant speed in circles with radius R. If the coefficient of static friction is μ, how fast can the truck drive in circles before the box slides in the truck? (b) An amusment park ride consists of a cylinder that spins at some velocity about its axis. Passengers stand along the edge of the cylinder and when the ride gets up to speed the floor drops away. Due to friction, a passenger remains against the wall. Find the minimum angular frequency of such a ride if the coefficient of static friction between the ride and a passenger's clothes is μ and the radius of the cylinder is R.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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I am still not great with circles, I need help setting up the problem

Problem 8 Friction Circles
(a) A box of mass m sits in the back of a truck that is driving at constant speed in circles with radius
R. If the coefficient of static friction is μ, how fast can the truck drive in circles before the box slides in
the truck?
(b) An amusment park ride consists of a cylinder that spins at some velocity about its axis. Passengers
stand along the edge of the cylinder and when the ride gets up to speed the floor drops away. Due to
friction, a passenger remains against the wall. Find the minimum angular frequency of such a ride if the
coefficient of static friction between the ride and a passenger's clothes is μ and the radius of the cylinder
is R.
Transcribed Image Text:Problem 8 Friction Circles (a) A box of mass m sits in the back of a truck that is driving at constant speed in circles with radius R. If the coefficient of static friction is μ, how fast can the truck drive in circles before the box slides in the truck? (b) An amusment park ride consists of a cylinder that spins at some velocity about its axis. Passengers stand along the edge of the cylinder and when the ride gets up to speed the floor drops away. Due to friction, a passenger remains against the wall. Find the minimum angular frequency of such a ride if the coefficient of static friction between the ride and a passenger's clothes is μ and the radius of the cylinder is R.
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