object shown in Figure 8-72 is made from two solid disks: m1=23kg, m2 = 39kg, r1 = 17cm, and r2=33cm. The disks are connected by a thin rod of mass M = 11.0 kg and length L = 67.0 cm. The object is held in a horizontal position and then let go. The object is free to rotate about a pivot through the centre of mass of the larger disk. Find the speed of the centre of mass of the smaller disk when it has swung 90° from its original position.

A box and a solid cylinder of equal mass M are moving across horizontal surfaces which are joined to ramps, as shown in the figure. The surface on which the box moves is frictionless, but the surface on which the cylinder rolls is not, so that the cylinder rolls without slipping. Both ramps have the same angle of inclination 0. V V If both objects have the same velocites v just as they reach the ramps, what is the ratio of the maximum center- of-mass heights reached by the two objects, hpox/hcyl? 1/2 3/4 2/3 4/3 Now imagine that both ramps are frictionless, and that the box and the cylinder arrive at the start of their ramps with the same initial velocities v. How does the new height, Hcyl,noFriction compare to hBox? O Hcyl,noFriction > hBox O Hcyl,noFriction < hBox O Hcyl,noFriction = hBox

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 = 246 kg. A small boy of mass m = 46 kg runs tangentially to the merry-go-round at a speed of v = 1.9 m/s, and jumps on. 1.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?  2.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 the angular speed in radians/second of the merry-go-round after the boy jumps off?

A thin, hollow sphere of radius r = 0.480 m and mass m = 16.0 kg turns counterclockwise about a vertical axis through its center (when viewed from above), at an angular speed of 2.90 rad/s. What is its vector angular momentum about this axis? (Enter the magnitude in kg. m²/s.) kg-m²/s magnitude direction ---Select--- v

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-…

A solid horizontal cylinder rotates with an angular speed of 7.50 rad/s about a fixed vertical axis through its center. The mass of cylinder is mass 10.8 kg and its radius 1.00 m.   If a piece of putty (m= 0.250-kg ) is dropped vertically onto the cylinder and sticks at a point 0.900 m from the center of rotation, what will be the final angular speed of the system.

A sanding disk with rotational inertia 9.8 x 103 kg-m² is attached to an electric drill whose motor delivers a torque of magnitude 35 N-m about the central axis of the disk. About that axis and with torque applied for 14 ms, what is the magnitude of the (a) angular momentum and (b) angular velocity of the disk? (a) Number i Units (b) Number i Units

A solid, uniform disk of radius 0.250 m and mass 61.2 kg rolls down a ramp of length 5.10 m that makes an angle of 18.0° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. |m/s (b) Find the angular speed of the disk at the bottom of the ramp. rad/s

How much work is done by the motor in a CD player to make a CD spin, starting from rest? The CD has a diameter of 12.0 cm and a mass of 15.8 g. The laser scans at a constant tangential velocity of 1.20 m/s. Assume that the music is first detected at a radius of 22.0 mm from the center of the disk. Use the tangential velocity of the the laser and the radius at which music is first detected to determine the angular velocity of the disc. Ignore the small circular hole at the CD’s center.

Problem 7: Consider the 10.5 kg motorcycle wheel shown in the figure. Assume it to be approximately a ring with an inner radius of 0.28 m and an outer radius of 0.33 m. The motorcycle is on its center stand, so that the wheel can spin freely.