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 = 201 kg. A small boy of mass m = 43 kg runs tangentially to the merry-go-round at a speed of v = 2.5 m/s, and jumps on. Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round.  Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy.  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?

Problem 4: Amerry-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= 286 kg. A small boy of mass m = 41 kg runs tangentially to the merry-go-round at a speed of v = 2.5 m/s, and jumps on. Randomized Variables R = 1.1 meters M= 286 kg m = 41 kg v = 2.5 m/s Part (a) Calculate the moment of inertia of the merry-go-round, in kg · m?. / Correct! I= 178 Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. / Correct! 227 - ן" Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. / Correct! w2 = 0.5 Part (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-…

An asteroid can be modeled as a right circular cylinder of radius 150 m and length 500 m with uniform density of 2200kg/m^3. It is rotating about an axis perpendicular to its length through its center of mass at one rotation per 5 minutes.If a space probe lands at one end and begins to fire its engines in the direction of rotation to slow it down(A) What force is it exerting at the end of the asteroid if it ejects 0.15 kg/s at a speed of 800 m/s?(B) How long will it take to stop the asteroid’s rotation?

A 45 kg figure skater is spinning on the toes of her skates at 1.5 rev/s.  Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg, 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 70 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head. In this latter orientation, she can be modeled as a 45 kg, 20-cm-diameter, 200-cm-tall cylinder.What is her new rotation frequency, in revolutions per second?Express your answer in revolutions per second.

A 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: Give your answer in terms of the variables given. (a) What then is the angular velocity of the cockroach-disk system? 20 Wf = 17 (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? NOTE: Enter an exact answer. K = 2.35 Ко

A cockroach of mass m lies on the rim of a uniform disk of mass 8.00m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.320 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then iş the angular velocity of the cockroach-disk system? rad/s (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? (c) What accounts for the change in the kinetic energy? (Select all that apply.) O cockroach does negative work on the disk O gravity O centripetal force O friction O centrifugal force O cockroach does positive work on the disk

A boy of mass m runs with speed v tangentially toward a merry-go-round of mass M and radius R, which is rotating with angular speed w. If the boy jumps on the merry-go-round, find the angular speed with which the system rotates once the boy is on top of the merry-go-round.

A spherical satellite of approximately uniform density with radius 4.8 m and mass 215 kg is originally moving with velocity (2600, 0, 0) m/s, and is originally rotating with an angular speed 2 rad/s, in the direction shown in the diagram. A small piece of space junk of mass 6.0 kg is initially moving toward the satellite with velocity (-2200, 0, 0) m/s. The space junk hits the edge of the satellite as shown in the figure below, and moves off with a new velocity ( 1300, 480, 0) m/s. Both before and after the collision, the rotation of the space junk is negligible. V3 L Part 1 Ux = Uy = @1 (a) Just after the collision, what are the components of the center-of-mass velocity of the satellite (v, and vy) and its rotational speed w? (For Ux, enter your answer to at least four significant figures.) Part 2 Mi @= i i Save for Later i M, R, 1 V2 m m/s m/s rad/s (b) Calculate the rise in the internal energy of the satellite and space junk combined. J Attempts: 0 of 10 used Submit Answer

Two 3.40 kg balls are attached to the ends of a thin rod of length 44.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 73.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 2.97 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putty wad Rotation axis (a) Number i Units (b) Number i Units Units i (c) Number

An air puck of mass 0.17 kg is tied to a string and allowed to revolve in a circle of radius 1.4 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 0.8 kg is tied to it (Fig. P7.25). The suspended mass remains in equilibrium while the puck on the tabletop revolves. Figure P7.25 (a) What is the tension in the string? N(b) What is the force causing the centripetal acceleration on the puck? N(c) What is the speed of the puck? m/s