A light rope is wrapped several times around a large wheel with a radius of 0.450 mm. The wheel rotates on frictionless bearings about a stationary horizontal axis. The free end of the rope is tied to a suitcase with a mass of 19.0 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.65 m/s when it reaches the ground.   Part A:Calculate the angular velocity of the wheel when the suitcase reaches the ground. Express your answer in radians per second.   Part B:Calculate the moment of inertia of the wheel. Express your answer in kilogram meters squared.

A monkey has a 50 cm long tail swinging through circular arcs.  a. The moneky prepares to swing through a semicircular arc by grabbing a branch 50 cm in front.What is the angular acceleration as she begin to drop? b. What is the monkeys linear speed at the bottom of this arc, 50 sm below starting point? What is her angular speed? c. The monkey has a mass of 10 kg. What is the tension in her tail at the bottom of the arc?

A ball of radius 0.200 m rolls with a constant linear speed of 2.80 m/s along a horizontal table. The ball rolls off the edge and falls a vertical distance of 2.20 m before hitting the floor. What is the angular displacement of the ball while the ball is in the air? 0 = i

A ball of radius 0.200 m rolls with a constant linear speed of 2.65 m/s along a horizontal table. The ball rolls off the edge and falls a vertical distance of 2.30 m before hitting the floor. What is the angular displacement of the ball while the ball is in the air?

3. A telephone pole has been knocked over by the wind so that it makes an angle of 0 with the vertical. The wind has stopped blowing and the pole is to be cut down as shown. nail L cut Once the cut is across most of the thickness of the pole, the pole begins to tip over. As the pole tips, the bottom of the pole stays attached to the base by the remaining part of the pole that was not cut (but the torque from the base on the tipping pole is negligible). There is a nail (of negligible mass) on the pole located a distance x. The length of the pole from the cut to the top is L. Remember that the moment of inertia of a stick of mass m and length L about its end is mL?.

A ball of radius 0.200 m rolls with a constant linear speed of 2.47 m/s along a horizontal table. The ball rolls off the edge and falls a vertical distance of 2.20 m before hitting the floor. What is the angular displacement of the ball while the ball is in the air?

At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is switched to the next higher setting it takes t = 12.5 s to uniformly accelerate to its final angular speed ω2 = 750 rad/s.  a. Calculate the angular acceleration of the centrifuge a1 in rad/s2 over the time interval t b. Calculate the total angular displacement (in radians) of the centrifuge, Δθ, as it accelerates from the intial to the final speed.

A ball of radius0.226 m rolls along a horizontal tabletop with a constant linear speed of 5.36 m/s. The ball rolls off the edge and falls a vertical distance of 2.47 m before hitting the floor.  What is the angular displacement of the ball while it is in the air? Use g=9.8

A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her angular displacement in radians? A 4 В D 720 E 2m

A 45.0-cm diameter disk rotates with a constant angular acceleration of 2.50 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. At t = 30 s, find a. Draw a diagram of the problem. b. the angular speed of the wheel. c. the linear speed and tangential acceleration of P.