Exam 9: Solids and Fluids: Part A

The Earth's gravity exerts no torque on a satellite orbiting the Earth in an elliptical orbit.Compare the motion of the satellite at the point nearest the Earth (perigee)to the motion at the point farthest from the Earth (apogee).At these two points:

A solid sphere and a solid cylinder both have the same radius and mass.If the sphere is spun about an axis through it center with angular velocity _sphere,what angular velocity must the cylinder have to the same rotational kinetic energy as the sphere? Round your answer to 2 significant figures.

A turntable has a moment of inertia of 3.00 × 10−² kg·m² and spins freely on a frictionless bearing at 25.0 rev/min.A 0.600-kg ball of putty is dropped vertically on the turntable and sticks at a point 0.100 m from the center.By what factor does the angular momentum of the system change after the putty is dropped onto the turntable?

A cylinder with its mass concentrated toward the center has a moment of inertia of 0.2MR².If this cylinder is rolling without slipping along a level surface with a linear speed v,what is the ratio of its rotational kinetic energy to its linear kinetic energy?

The Earth's gravity exerts no torque on a satellite orbiting the Earth in an elliptical orbit.Compare the motion at the point nearest the Earth (perigee)to the motion at the point farthest from the Earth (apogee).At the point closest to the Earth:

A ventilation fan with a moment of inertia of 0.034 kg·m² has a net torque of 0.11 N M applied to it.If it starts from rest,what kinetic energy will it have 8.8 s later?