An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even when the floor is removed. The coefficient of static friction between the person and the wall is u, = 0.3 and the radius of the drum is R = 2m. (a) Find wmin. the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the floor is removed, the person is held up by the static frictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a) (c) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the drum had constant angular acceleration. Find the number of rotations made by the person within this time.

A carnival ride has people stand inside a vertical cylinder with their backs to the wall. The cylinder starts spinning and the riders find that they are “stuck” to the wall and don’t slide down, even if the floor is removed.  The ride has a radius of r. The person has a mass of m and is moving with a constant speed of v. The coefficient of static friction between the person and the wall is μs , and kinetic friction μk. The person is only touching the wall, not touching the floor.   What is the magnitude of the acceleration of the person? In what direction does it point?   The speed is constant. Why is the acceleration not zero? Briefly explain. No equations!

2 Your answer is partially correct. Try again. In the figure, a slab of mass m, = 40 kg rests on a frictionless floor, and a block of mass m, = 9 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F of magnitude 102 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab? u = 0- (a) Number T-7.4 -7.4 Units m/s^2 (b) Number i+ Units m/s^2 -0.88 Click if you would like to Show Work for this question: Open Show Work SHOW HINT LINK TO TEXT LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM VIDEO MINI-LECTURE 10:50 PM search ENG 4/4/2021 ond 111Pgup) pri sc DOUSE insert dele home break 13) 23 bac 3 5. 4 R.

A 8.0 m long ladder AB leans against a smooth wall making an angle of 70º with the floor. The ladder is uniform and has a mass of 40.0 kg.(a) Determine the forces exerted on the ladder by the floor and the wall (i.e. at A and B respectively).(b) Determine the minimum value of the coefficient of static friction to prevent the ladder from slipping.

A heavy cask (full of wine!) sits on an inclined plane. It is held in place by a rope that is attached to the cask and to a hook further up the inclined plane (at A). The rope comes off of the cask tangent to the cask. The mass of the cask is 40 kg, and the coefficient of static friction between the inclined plane and the cask is 0.25. What is the maximum value of 0 just before the cask begins to slip? Also, what is the tension in the rope when slipping is impending? Finally, if the inclined plane became icy, and the rope didn't break as the cask slipped, what would be remarkable about the lines of action of the W, N and T force vectors once equilibrium was re-established? 0.70 m 40

The cylinder is uniform and has a mass of 5.00 kg. It is released from rest.a) Calculate the least coefficient of friction between the cylinder and the plane for which the cylinder will roll without slipping.b) Calculate the acceleration of the center of mass G of the cylinder if it rolls without slipping.

the object weights 26lbs, that weight is evenly distributed determine the P required for the body to have impending motion. The coefficient of static friction is .5. Also, state whether the object will slip or tip HINT: It’s a 2d problem not 3d and you will need to find the centers of gravity

Figure 2 В A Block A is hanging from a massless string which runs over a massless and frictionless pulley and connects to Block B. Block B slides over an inclined plane with ordinary kinetic friction. The plane under block B is inclined at an angle theta = 0 away from vertical. The other side of Block B is connected to another massless string which runs over another massless and frictionless pulley to connect to Cart C. Cart C rolls without friction over a plane which is inclined at an angle of phi = y away from vertical. C