20 kg pulley with a 0.5 m radius is initially at rest. The rotational inertia of the pulley is 0.47 mr^2. A 10kg box hangs from a rope that is wrapped around the pulley that is also initially at rest. The box falls a set distance and gains a velocity of 8

A wheel of radius 0.447 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.0458 kg-m2. A massless cord wrapped around the wheel is attached to a 3.00 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P = 2.91 N is applied to the block as shown in the figure, what is the angular acceleration of the wheel? Take the clockwise direction to be the negative direction and assume the string does not slip on the wheel.

On a carnival ride, you stand next to a wall of a circular drum which spins around the center. When drum is spinning fast enough the floor drops away and you remain stuck to the wall and do not slide down to the floor until the drum slows down some. Assume a rider has a mass of 55.0 kg, and the drum has a radius of 6.00 m. The average linear speed that a rider is traveling with around the drum is 7.80 m/s. What is the normal force that the drum is exerting on the rider to keep her from sliding down to the floor?

A disk with uniform density and radius 0.551 m used to weigh 20.22 kg, but then a hole was punched out. The black arrow in the image above shows the axis of rotation. The hole has radius 00753 m, and has its center 0.103 m away from the center of the disk. What is the înoment of inertia of the disk with a hole? (Hint: only a scientist could call a hole negative mass! Find the mass taken away based on hole size and disk) Answer: Check Choose...

A car accelerates uniformly from rest during a 25-second time interval at a constant rate of 0.6 m/s2. If the radius of each wheel is 0.330 m, and the tires roll without slipping, what is the angular velocity of the wheel at the end of the given time interval? Express your answer in units of rad/s.

A block of mass 2 kg slides down an inclined plane at an angle of 45° with a massless tether attached to a pulley with mass 3 kg and radius 0.7 m at the top of the incline (see the following figure). The pulley can be approximated as a disk. The coefficient of kinetic friction on the plane is 0.2. What is the acceleration of the block (in m/s²)? (Enter the magnitude.) 3.59 45° x m/s²

A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second

A motor spins a disk (Idisk = 25.5 kg*m2) with a torque of 39 N*m, and a 18 N frictional force acts on the disk at a radius of 1.4 m. Attached to the disk at a radius of 6.6 m is a 13 kg mass. What is the magnitude of the angular acceleration in rad/s2 of the system?

A turntable is rotating at 78 revolutions per minute and has a rotational inertia of I= 0.045 kg.m^2. A 500g ball of clay is dropped vertically onto the turntable so it sticks at 8.0cm from the center of the turntable. How fast is the turntable rotating (in rpm) after this event

There is a rod-shaped space station of length 687 m and mass 5.35 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 2.26 rpm. If the length of the rod is reduced to 2.26 m, what will be the new rotation rate of the space station?      4.38 rpm     7.50 rpm     3.50 rpm     6.25 rpm