In an old-fashioned amusement park ride, passengers stand inside a 4.50 m diameter hollow steel cylinder with the backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a coefficient of static coefficient of friction against steel in the range of 0.540 to 1.0 and a kinetic coefficient in the range 0.380 to 0.70. A sign next to the entrance says "No children under 30 kg allowed." What is the minimum angular speed in rpm (do not enter units) for which the ride is safe? Assume that the local acceleration due to gravity is -9.80 m/s2.

Two blocks are positioned on surfaces, each inclined at the same angle of 52.4 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 5.40 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.350. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the RIGHT at an acceleration of 1.5 m/s^2?     1.98 kg     2.55 kg     4.61 kg     2.07 kg

Two blocks are positioned on surfaces, each inclined at the same angle of 54.5 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 7.57 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.360. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at a constant velocity?

Two blocks are positioned on surfaces, each inclined at the same angle of 53.1 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.31 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.500. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at a constant velocity? 1 1.50 kg 2 7.29 kg 3 3.31 kg 4 5.30 kg

It is known that the 10 kg pipe will roll up the ramp and not slide on the ramp when P becomes sufficiently large. Using the rolling assumption, find the minimum P required to cause impending motion of the 10 kg pipe up the ramp. Note that the coefficients of friction for the block/ramp, the pipe/ramp and the pipe/block contacts are each 0.30. 18 kg block 35° 10 kg pipe B μg 0.30 for all contacts

An ice hockey puck is sliding over a frictionless horizontal surface with a constant velocity of vo = 10.2 m/s. Find the velocity of the puck after it passes a rough area of length L 6 m and with the kinetic friction coefficient u = 0.33 as shown below. Hint: the mass of the puck is not needed, you can either calculate everything per unit of mass or, if it helps, take m 160 grams. %3D %3D %3D %3D m Vo L The steps to follow: (1) find the initial KE of the puck; (2) find the work done by the friction force (should be negative); (3) find the final kinetic energy as KE; = KE; + W, meaning that some of the initial kinetic energy is lost due to the work done by friction; (4) from the final KE find the final speed. The final speed of the puck, Vf =7.28 X Units m/s %3D If the initial speed of the puck is not high enough the puck will get stuck in the rough area. At what minimal initial speed should the puck move to barely make it through the rough area? The minimal initial velocity, Vmin =…

Two blocks are positioned on surfaces, each inclined at the same angle of 42.2 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 6.63 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.550. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the RIGHT at a constant velocity?

An engineer is working on determining the speed limit for a curved stretch of road. She knows the coefficient of friction between the wheels and the road is 0.75 when the road is dry and 0.4 when the road is wet. She also knows that the mass of the vehicle does not matter, but completes her calculations for a 700kg car. In order to set a speed limit that is safe under any conditions, should she perform her calculations with the coefficient of friction for wet or dry pavement? wet Answer the following questions for the case when the car is traveling at the maximum speed with the road conditions selected above. In this case, what is the car's centripetal acceleration? m/s² In this case, what is the car's speed? m/s mph Could vehicles, obeying a speed limit of 75mph, navigate the curve in both wet and dry conditions? yes Reference 1 2 350m 3 4 5 6 7

Two blocks are positioned on surfaces, each inclined at the same angle of 47.7 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 6.35 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.560. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? a. 3.09 kg b. 4.85 kg c. 38.41 kg d. 20.24 kg

Two blocks are positioned on surfaces, each inclined at the same angle of 54.3 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.02 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.600. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the RIGHT at an acceleration of 1.5 m/s^2?     2.70 kg     0.80 kg     0.71 kg     0.96 kg