A 145-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.600 rev/s in 2.00 s? (State the magnitude of the force.) N
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A 145-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.600 rev/s in 2.00 s? (State the magnitude of the force.)
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- I need some help. Can you walk me through how to solve this problem? To throw the discus, the thrower holds it with a fully outstretched arm. Starting from rest, he begins to turn with a constant angular acceleration, releasing the discus after making one complete revolution. The diameter of the circle in which the discus moves is about 1.9 m. If the thrower takes 1.2 s to complete one revolution, starting from rest, what will be the speed of the discus at release?n A golfers clubs' linear tangential velocity at contact with the ball on the tee was recorded as 42.4 m/s. Given the distance from the club head to the golfers centre of rotation as 1.58 m calculate the angular velocity (radians/s) of rotation at the point of contact to 2 decimal places. s page Answer: e here to search 18 W 8 N g P Finish attempt... ASXXCTD +1.33%A string is wrapped around a disk of mass m = 2.2 kg and radius R = 0.08 m. Starting from rest, you pull the string with a constant force F = 9 N along a nearly frictionless surface. At the instant when the center of the disk has moved a distance x = 0.12 m, your hand has moved a distance of d = 0.27 m. m d (a) At this instant, what is the speed of the center of mass of the disk? Vcm = m/s (b) At this instant, how much rotational kinetic energy does the disk have relative to its center of mass? Krot = Additional Materials M eBook
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- A uniform horizontal disk of radius 5.50 m turns without friction at w = 2.30 rev/s on a vertical axis through its center, as in the figure below. A feedback mechanism senses the angular speed of the disk, and a drive motor at A ensures that the angular speed remain constant while a m = 1.20 kg block on top of the disk slides outward in a radial slot. The block starts at the center of the disk at time t = 0 and moves outward with constant speed v = 1.25 cm/s relative to the disk until it reaches the edge at t = 465 s. The sliding block experiences no friction. Its motion is constrained to have constant radial speed by a brake at B, producing tension in a light string tied to the block. (a) Find the torque as a function of time that the drive motor must provide while the block is sliding. Hint: The torque is given by = 2mrvw. t N-m (b) Find the value of this torque at t= 465 s, just before the sliding block finishes its motion. N.m 2.52 (c) Find the power which the drive motor must…A disk brake on a car consists of a disk with a 0.121 m radius and a caliper that pushes a frictional surface against the edge of the disk (an idealization of a real brake). The moment of inertia of the disk system is 0.354 kg m2. a)At a certain speed of the car, the angular velocity of the disk is 156 rad/s. If the car manufacture wants the car to go from this speed to a full stop in 17 s, what is the magnitude of the angular acceleration of the disk? b) What is the torque that must be applied to the disk to bring it to rest in this time? c) What is the magnitude of the force that pushes the frictional surface against the disk to slow it to a stop if the coefficient of kinetic friction is 0.424?Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 10.7 seconds to get up to its full speed of f1 = 78 revolutions per minute.Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 16 times while accelerating uniformly. a)Calculate the angular speed described in Case 1, given as f1 = 78 revolutions per minute, into units of radians/second. d)Calculate the magnitude of the angular acceleration of the turntable (in radians/second2) while increasing to 120 RPM (Case 2).