A merry-go-round is spun up to some angular velocity w. Achild then hops onto the edge. The law of conservation of momentum says that the new angular velocty will: O Decrease O Increase O Remain unchanged
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- the slender bar of length l and mass m is pinned to verical shaft at O, the vertical shaft rotates with a cnstant angular velocity w0, please find the value of necessary for the bar to remain at a constant angular β relative to the vericalcalculate the angular momentum in kgm^2/s of an ince skater spinning at 6.00 rev/s given the moment of intertia is 0.49 kgm^2 ?A Lazy Susan (M=0.5 kg) in the shape of a disk is free to rotate about its center withoutfriction. It is initially motionless when a Texas-sized cockroach (m=10 g) starts runningCCW along the rim. The angular speed of the Lazy Susan is then 1 rad/sec. With whatspeed is the cockroach running (in the rest frame of the table, not the Lazy Susan)? We symbolically solve the problem without the value of R
- one round boulder of mass 30kg and radius 30cm starts from rest. rolls down an hillfrom a height of 18meters. What is the angular momentum of the boulder halfway down thehill and at the bottom of the hill?Halley’s comet moves about the Sun in an elliptical orbit, withits closest approach to the Sun being 0.59 AU and its greatestdistance being 35 AU (1 AU is the Earth–Sun distance). If thecomet’s speed at closest approach is 54 km/s, what is its speedwhen it is farthest from the Sun? You may neglect any changein the comet’s mass and assume that its angular momentumabout the Sun is conserved.A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.1 meters, and a mass M = 231 kg. A small boy of mass m = 49 kg runs tangentially to the merry-go-round at a speed of v = 2.3 m/s, and jumps on.d. The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is half way between the edge and the center of the merry go round? ω3 =e. The boy then crawls to the center of the merry-go-round. What is the angular speed in radians/second of the merry-go-round when the boy is at the center of the merry go round? ω4 =f. Finally, the boy decides that he has had enough fun. He decides to crawl to the outer edge of the merry-go-round and jump off. Somehow, he manages to jump in such a way that he hits the ground with zero velocity with respect to the ground. What is…
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- A 200kg disk with a radius of 4.0m is rotating clockwise about the +y axis. A 50kg person is sitting 2.5m from the rotational axis. a) What is the total moment of inertia of the disk and person together? b) What is the initial angular momentum Li of the system? c) A constant 30.0N force is applied to the edge of the disk with an angle of 60° with respect to the moment arm. (+y out of page in top down view) What is the torque on the system? d) What is the final angular momentum if the torque is applied for 2s?A uniform, thin, spherical shell of radius, R, and mass, m, is rolling without slipping or sliding on a level surface. If the center-of-mass velocity of the ball is vCM what is the total kinetic energy of the 2 MR? ball? Hint: cm,shell VCM IR Contact Point O a. 1my? ,2 ст 2 b. 7 mv2 10 ст С. ту2 ст d. 5 ,2 -mv ст 3 е. mv2 4A cockroach of mass m lies on the rim of a uniform disk of mass 4m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of wo. Then the cockroach walks halfway to the center of the disk. NOTE: Giwe your answer in terms of the variables given. (a) What then is the angular velocity of the cockroach-disk system?