A 200 kg hoop rolls along a horizontal floor so that the hoop's center of mass has a speed of 0.250 m/s. How much work must be done on the hoop to stop it?

A 78.0 kg hoop rolls along a horizontal floor so that its center of mass has a speed of 0.0720 m/s. How much work must be done on the hoop to stop it?

A car is traveling on the highway at a speed S. The body of the car, and driver, have a combined mass of M, the mass of each wheel is m, the radius of each wheel is r, and the rotational inertia of each wheel about the center of mass is IG. What is the total kinetic energy of the car?

3. A 5.20-kilogram hoop starts from rest at a height 1.30 m above the base of an inclined plane and rolls down under the influence of gravity. What is the linear speed of the hoop's center of mass just as the hoop leaves the incline and rolls onto a horizontal surface? (Neglect friction.) m/s

55

A large plate is initially rotating about an axis through its center with angular velocity of 3w, as shown in the figure. The upper plate is initially not rotating and has the same mass but half the radius as the large plate. The small plate is lowered onto the large plate, and after a short time they will rotate together and willI have the same final angular velocity. Which of the following best describes the ratio of the kinetic energy of the system before the collision to after the collision (Ratio KEbefore KEafter %D 3w. 1.50 1.25 1.00 0.80 0.67

When your new Peloton bike indicates that you are burning the maximum number of calories, the chain has a speed of v = 2.30 m/s. When the sprocket of radius r = 0.02 m is in contact with the chain it goes around the sprocket in a circular manner. (a) If the moment of inertia of the sprocket is 4.32 kgm2, what is the rotational kinetic energy of the sprocket?  (b) What is the centripetal acceleration of the chain as it makes contact with the sprocket?  (c) Given that the torque on the sprocket is 3.24 Nm what is the angular acceleration of the sprocket?  (d) Find the tangential acceleration of the sprocket.  (e) What is the total acceleration of the sprocket?

A light rope is wrapped several times around a large wheel with a radius of 0.400 m. The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in the figure below. The free end of the rope is tied to a suitcase with a mass of 15.0 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.50 m/s when it reaches the ground. Calculate: What is the linear acceleration of the suitcase as it falls?  (Hint:  It’s not in free fall!) What is the resulting angular acceleration of the wheel? What is the angular velocity of the wheel when the suitcase hits the ground? What is the tension in the string as the suitcase falls?  (Hint: It is not equal to the weight of the case!  Use Newton’s Second Law!) What is the torque caused by that tension? What is the moment of inertia of the wheel?

You're feeling particularly lazy and decide to open a door by firing a bullet at it. The door has a mass of 10.7 kg and is 1.25 m wide, and the 10 g bullet, traveling at 420. m/s, hits the door at the edge opposite the hinges. The bullet stops inside the door, which then swings open. What is the angular velocity of the door just after the bullet hits it?

Two hangers are attached by a string to a vertically mounted pulley system as shown. One disk is bigger than the other, and the disks are attached to each other such that they rotate together. The axle has negligible friction. The mass of the large disk is 1200 grams and the radius is 11 cm. The mass of the small disk is 400 grams and the radius is 4 cm. The high hanger has a mass of 200 grams and starts 80 cm above the ground. The lower mass starts on the ground and has a mass of 100 grams. The hangers are released from rest. What is the velocity of the 200 gram hanger when it hits the floor?