A 200-kg, 2.0-m-radius, merry-go-round in the shape of a flat, uniform, circular disk parallel to level ground is rotating at 1.2 cycles/second about an axis through its center of mass and perpendicular to the ground. A 50- kg boy jumps onto the edge of the merry-go round and lands at a fixed point. What is the angular velocity of the merry-go-round after the boy lands on it? Hint: /cm.disk = (1/2)mR² where m is the mass of the disk and R is the radius of the disk. a. 1,4 cycles/s Ob.1.1 cycles/s OC. 0.80 cycles/s Od.0.50 cycles/s Oe. 0.20 cycles/s

A 200-kg, 2.0-m-radius, merry-go-round in the shape of a flat, uniform, circular disk parallel to level ground is rotating at 1.2 cycles/second about an axis through its center of mass and perpendicular to the ground. A 50-kg boy jumps onto the edge of the merry-go round and lands at a fixed point. What is the angular velocity of the merry-go-round after the boy lands on it? Hint:  = (1/2)mR2 where m is the mass of the disk and R is the radius of the disk.

A merry-go-round with a moment of inertia of 880kg⋅m2 experiences a force of 74.5N applied parallel to its edge, which is 3.35m from its axis of rotation. If the force lasts for 6.4s, what is the angular velocity of the merry-go-round, assuming it starts at rest? What is the angular momentum of the merry-go-round at this time?

A woman with mass 50 kg is standing on the rim of a large disk that is rotating at 0.50 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.0 m. Calculate the magnitude of the total angular momentum of the woman-disk system. (Assume that you can treat the woman as a point.)

A person having a mass of 75 kgkg sits on the edge of a horizontal rotating platform, 2.1 mm from the center of the platform, and has a tangential speed of 2.6 m/sm/s. Calculate the angular momentum of the person. Express your answer to two significant figures and include the appropriate units.

A light rigid rod of mass 3.00 kg and length 2.00 m rotates about an axis perpendicular to its length and passing through its center as shown in the figure below. Two particles of masses m1 = 6.00 kg and m2 = 3.50 kg are connected to the ends of the rod. What is the angular momentum of the system if the speed of each particle is 4.05 m/s? m2

You throw a ball of mass 0.61 kg with speed 7.7 m/s at a cylinder of radius 0.22 m as shown. Theball hits the edge of the cylinder and sticks to it, and they spin about the cylinder’s central axis.What is the magnitude of the angular momentum of the ball about the center of the cylinder asthe ball approaches the cylinder?

A 5.0 kg block travels around a 0.60 m radius circle with an angular velocity of 15 rad/s. The magnitude of its angular momentum about the center of the circle is:

7. A 0.25 kg bullet is fired with a velocity of 200 m/s into two spheres mounted on a shaft with a vertical axis of rotation (coming out of the page) the spheres rotate horizontally. Each sphere has a mass of 0.80 kg and can be treated as a point mass. The mass of the shaft can be ignored. The bullet hits one of the spheres at the angle shown and sticks to the sphere which starts at rest. 30° Axis Of Rotation a. Determine the linear momentum of the bullet. b. Determine the angular momentum of the bullet/spheres system after the bullet hits the sphere. (Remember, momentum is conserved so you can calculate the momentum of the system at any time as long as you include all of the pieces.) 0.50 m

A solid disk rotates in the horizontal plane at an angular velocity of 4.20 × 10-2 rad/s with respect to an axisperpendicular to the disk at its center. The moment of inertia of the disk is 0.14 kg.m2. From above, sand is droppedstraight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.40 m from the axis.The sand in the ring has a mass of 0.50 kg. After all the sand is in place, what is the angular velocity of the disk?