A barrel of mass radius 0.5 m begins rolling without slipping down a ramp that is elevated 1 m above the ground. How fast will it be moving when it reaches the ground?
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A barrel of mass radius 0.5 m begins rolling without slipping down a ramp that is elevated 1 m above the ground. How fast will it be moving when it reaches the ground?
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- A bicycle tire of radius 0.43 m has a piece of gum stuck on its rim. What is the angle through which the tire rotates when the gum has moved through a linear distance of 1.86 m? Express your answer in radians and degrees.A solid cylinder rolls up an incline at an angle of 20°. If it starts at the bottom with a speed of 10 m/s, how far up the incline does it travel?A disk of mass 3.8 kg and radius 0.17 m starts at the bottom of a 25 degree incline. It'stranslational velocity is 16 m/s. How far along the incline does it roll before coming to astop?
- A 20 cm diameter circular saw blade spins at 3900 rpm. How fast would you have to push a straight hand saw to have the teeth move through the wood at the same rate as the circular saw teeth?A bicycle is turned upside down while its owner repairs a flat tire on the rear wheel. A friend spins the front wheel, of radius 0.408 m, and observes that drops of water fly off tangentially in an upward direction when the drops are at the same level as the center of the wheel. She measures the height reached by drops moving vertically (see figure below). A drop that breaks loose from the tire on one turn rises h = 54.3 cm above the tangent point. A drop that breaks loose on the next turn rises 51.0 cm above the tangent point. The height to which the drops rise decreases because the angular speed of the wheel decreases. From this information, determine the magnitude of the average angular acceleration of the wheel. rad/s2 hA solid spherical cow is rolling with a translational speed of vcm = 11.0 m/s is moving toward hill with an incline of 30°. How much distance will the cow roll along the side of the hill before coming to rest? (ignore air resistance and slipping friction)
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