solid sphere starts from rest at a height of 2.5 meters. rolls down a ramp without slipping, so no friction. The mass of the sphere is 2 kg. The radius of the sphere is 0.02 m The moment of Inertia of a sphere is: I = (2/5)mr² A It ) Compute the change in gravitational potential energy when the ball rolls from the top to the bottom of the ramp. Use conservation of energy to compute the angular velocity, o, in radians/s and the linear velocity in m/s at the end of the ramp. h1

a satellite's orientation can be controleld using a flywheel placed inside the satellite and fixed to it. the satellite's moment of inertia around the relevant axis of rotation is 3.0 kgm^2. the flywheel is a disk with a mass of 500g and a radiuc of 5cm. how many revolutions must the flywheel undertake in order to change the orientation of the satellite by 90 degrees .

Now consider two very similar semi trucks. One travels at 40 km/hr and another travels at 75km/hr. Which truck will have the greater motion inertia?

Wind energy is gaining increased attention, generating an increased interest in windmill technology. Because windmill blades (vanes) rotate about a central axis, one of the most important physical properties of a windmill is its moment of inertia. Given is a picture of a typical windmill, where the geometry and center of mass of one of the vanes is illustrated. The mass of each vane is 411 kg. The distance from the center of mass of the vane to axis B is ?1=2.85 m. The distance from the center of mass of the vane to the center of the windmill hub is ?2=4.42 m. If the moment of inertia of a vane about axis A is 445 kg·m2 and about axis B is 10800 kg·m2, calculate the moment of inertia ?total of the entire assembly about the axis that passes through the windmill's hub and is perpendicular to the screen. (Ignore the hub and assume the vanes are flat.)