While sitting in your spaceship, you start spinning a basketball on your finger. The spaceship is cylindrical (assume solid) with a radius of 1.5 m and a mass of 500 kg. The hollow basketball has a radius of .80 m and a mass of 0.7 kg. When you spin the ball with an angular velocity of 19.6 rad/s, the spaceship begins to spin. What is the angular velocity of your spinning spaceship?

Use the worked example above to help you solve this problem. A merry-go-round modeled as a disk of mass M = 8.50 x 10¹ kg and radius R = 2.30 m is rotating in a horizontal plane about a frictionless vertical axle (see figure). (a) After a student with mass m = 80.0 kg jumps onto the merry-go-round, the system's angular speed decreases to 2.10 rad/s. If the student walks slowly from the edge toward the center, find the angular speed of the system when she reaches a point 0.490 m from the center. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. rad/s (b) Find the change in the system's rotational kinetic energy caused by her movement to the center. X Your response differs from the correct answer by more than 10%. Double check your calculations. J (c) Find the work done on the student as she or= 0.490 m.

A solid, uniform, spherical boulder (I=(2/5) MR2) starts from rest and rolls down a 75.0 [m] hill, as shown at the figure at the right. The top half of the hill is rough enough to cause the boulder to roll without slipping, but thelower half is covered with ice and there is no friction. What is the translational speed of the boulder when it reaches the bottom of the hill?

Please include explanations and work for the problems. Please write it out to make it easy to understand.

Just explain concepts, formulas, theories as if you were to solve....   A hoop and a solid disk both have the same radius and mass and negligible thickness. Assume that they are both rotating with the same constant angular speed. Which has the higher rotational kinetic energy?   If you see an object rotating, is there necessarily a net nonzero torque acting on it? Why or why not?   A skater rotates quickly on the ice. He pushes his arms out. What happens to his angular speed? Why?   A 100 gram meter stick has a wad of clay on one end of it. The stick is supported from a fulcrum point 33 1/3 cm from the clay. What is the clay's mass?   A student sits on a rotating stool holding two 3.0 kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg m2 and is assumed to be constant. The student then pulls in the objects horizontally to 0.30 m…

A flywheel whose moment of inertia /= 200 lb-ft2 is spinning at 180 RPM. For a flywheel, KE = Iw2/2, where w is the angular velocity, rad/s. Let g = 32.2 ft/s². Step 1 How high above the surface of the earth, in ft, would a 60 lb mass have to be raised to have its potential energy equal to the kinetic energy of the flywheel? h = i ft

please answer all the subparts

A disk is rotating on a horizontal axis as shown in the figure. Answer the following questions if you pull out at A and push in at B along the axis of the disk.What is the direction of the torque acting on the disk? What is the direction of the initial angular momentum vector for the disk? The applied torque causes the wheel's axis (or angular momentum vector) to move. From the front view, what is the direction of motion of the L vector?     A disk is rotating on a vertical axis as shown in the figure. Answer the following questions if you push in at A and pull out at B along the axis of the disk. What is the direction of the torque acting on the disk? What is the direction of the initial angular momentum vector for the disk? The applied torque causes the wheel's axis (or angular momentum vector) to move. From the front view, what is the direction of motion of the L vector?

I need help with just part b