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1. An amusement park contains a big cylinder of radius R oriented horizontally and rotating with...
In a popular amusement park ride, a rotating cylinder of radius 3 m is set in rotation as in the figure. The floor then drops away, leaving the riders suspended against the wall in a vertical position. (i) What force keeps the rider from slipping down without a floor? (ii) What force acts as the centripetal force in this situation? (iii) How many forces are acting on the rider? Name all of them.
An amusement park ride consists of a rotating vertical cylinder
with rough canvas walls. The floor is initially about halfway up
the cylinder wall as shown. After the rider has entered and the
cylinder is rotating sufficiently fast, the floor is dropped down,
, yet the rider does not slide down. The rider has mass of 50 kg.
The diameter of the cylinder is 6.5 meters. The coefficient of
static friction between the rider and wall of the cylinder is...
A certain ride at an amusement park consists of a hollow cylinder that can rotate at high speeds. The floor can then be dropped with the people staying pinned to the sides of the cylinder. Terry the Mighty Iguana climbs inside the cylinder and the ride operator turns it on. The cylinder has a radius of 6 meters and a coefficient of friction between the cylinder wall and the Terry is u=0.67 a. how much friction is required to keep...
1. In a popular amusement park ride, a cylinder of radius 3.0 meters is set in motion at an angular speed of 5.0 rad/s. The floor then drops away leaving the riders "stuck" to the wall in a vertical position. What minimum coefficient of friction between the riders clothing and wall of the cylinder is needed to keep the rider from slipping?
3. Rotor (6 points) The Rotor is an amusement park ride consisting of a large, vertical cylinder with radius R- 2.5 m. A rider stands on the inside wall, and the cylinder begins rotating. When the angular velocity is high enough, the floor is lowered but, due to static friction, the rider does not slide down the wall. Suppose the Rotor is spinning with an angular velocity of 4 rad/s. (a) (2 points) How much time does it take for...
At an amusement park, a car of mass m rolls without friction around a track as shown. The car starts from rest at point A, a height h = 3R above the bottom of the loop (R is the radius of the loop). Treat the car as a point-like particle. (a) Draw the free body diagram for the car and find the car’s kinetic energy and normal force acting on the car at the top of the loop (point B)....
1977M2. A uniform cylinder of mass M, and radius R is initially at rest on a rough horizontal surface. The moment of inertia of a cylinder about its axis is ½MR. A string, which is wrapped around the cylinder, is pulled upwards with a force T whose magnitude is 0.0Mg and whose direction is maintained vertically upward at all times. In consequence, the cylinder both accelerates horizontally and slips. The coefficient of kinetic friction is 0.5 On the diagram below,...
Problem #2 A solid cylinder of radius R is rotating in a counter clockwise direction at an angular velocity w in an unbounded quiescent fluid of viscosity u and density p. (a) Write down the governing equations and boundary conditions for the fluid motion (neglect gravity). (b) Solve the governing equation for the velocity v(r), and draw the velocity profile. (e) Determine the torque acting on the cylinder.
A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope is wound around the cylinder and its free end is attached to a block of mass 76.0 kg that rests on a platform. The cylinder has a mass of 275 kg and a radius of 0.480 m. Assume that the cylinder can rotate about its axis without any friction and the rope is of negligible mass. The platform is suddenly removed from under...
1) A uniform 14 kg cylinder turns on a horizontal axis with a
significant amount of friction. The cylinder has a radius of 0.030
m and a thickness of 0.080 m. It is initially at rest. Then a force
of 70 N is applied at a 37 angle for 2.0 s, as indicated in the
figure, and the cylinder accelerates. After a time of 2.0 s the
force is reduced to 24 N, and then the cylinder continues to spin...