A luggage carousel at an airport has the form of a section of a large cone, steadily rotating about its vertical axis. Its metallic surface slopes downward toward the outside, making an angle of 25.5° with the horizontal. A piece of luggage having mass 30.0 kg is placed on the carousel, 7.46 m from the axis of rotation. The travel bag goes around once in 36.5 s. Calculate the force of static friction between the bag and the carousel.   (b) The drive motor is shifted to turn the carousel at a higher constant rate of rotation, and the piece of luggage is bumped to another position, 7.94 m from the axis of rotation. Now going around once in every 33.8 s, the bag is on the verge of slipping. Calculate the coefficient of static friction exerted by the carousel on the bag.

The Texas Motor Speedway is an oval racing track with curves of radius 229 m that are banked at an angle of 24.0°. The size of the track allows for race cars to achieve speeds in excess of 400 km/h. An unintended consequence of the banked curves and high speeds is that race car drivers experience excessive G forces, especially in the "vertical" direction (with respect to their body position), causing dizziness and loss of consciousness. (a) A daring driver, pushing his car to the limit, experiences 4.67g of centripetal acceleration during one banking maneuver. What is the speed of his car during the maneuver? (Give your answer in km/h.) km/h (b) If the driver is seated so that during the banking maneuver his upper body is aligned with the direction normal to the banked curve, what is the magnitude of the component of the centripetal acceleration along the driver's upper body? (Give your answer in terms of g.) a delete

A 2.97 gram fine is placed 0.10 m from the centre of a rotating disc. The coefficient of static friction between the fine and the disc is 0.28. What is the maximum speed of rotation, ( at the position of the dime), that the disc can rotate without sliding off?

A bucket containing water is tied to one end of a rope 5 m long and it is rotated in a vertical circle about the other end. Find the number of rotations per minute in order that the water in the bucket may not spill.

A car of mass 1.43x10°kg goes around an unbanked, circular curve of radius 26.6m at a speed of 13.4m/s . What is the horizontal force that the road must exert on the car?

A rubber ball is attached to a 1.44-meter string and spun in a horizontal circle. The tension in the string is 2.91 N. It takes 0.644 s for the ball to complete one revolution. Determine the mass (in kg) of the ball.

A man riding a bicycle with a 100 kg total mass is performing horizontal circles on flat track. If the coefficient of static friction between the tires and track is 0.600, find the smallest radius the man can make when travelling at a speed of 10.0 m/s.

A model airplane of mass 0.760 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 66.0-m control wire as shown in Figure (a). The forces exerted on the airplane are shown in Figure (b): the tension in the control wire, the gravitational force, and aerodynamic lift that acts at 0 = 20.0° inward from the vertical. Compute the tension in the wire, assuming it makes a constant angle of 8 = 20.0° with the horizontal. N Figure (a) Circular path of airplane Wire Figure (b) T Flift mg Ⓡ

A wind turbine blade with a radius of 38 m and a mass of 1470 kg is rotating at 0.25 rev/s. Assuming all of the mass is located at the end of the blade, what is the net force (in N) acting on the end of the turbine blade? (This net force, supplied by interatomic forces in the metal, is the centripetal force required to keep each atom in circular motion).

A 43-kg child riding a Ferris wheel (radius = 13 m) travels in a vertical circle. The wheel completes one revolution every 17 s. What is the magnitude of the force on the child by the seat (i.e. normal force) at the highest point on the circular path?