Rotational Kinetic Energy
A solid ball rolls on a slope from rest starting from a height of and then rolls on a horizontal region, as shown in the above figure. The horizontal distance of the slope and the distance of the horizontal region are both equal to and the height of the horizontal region is Approximately how far horizontally from point does the ball hit the floor?
The rotational inertia of a solid sphere about any diameter is where and are the mass and the radius of the solid sphere, respectively, and the gravitational acceleration is
A brand new off-road pickup truck has six wheels. If the total mass of the pickup truck is and the mass of each of the six wheels is what fraction of its total kinetic energy is due to the rotation of the wheels about their center axles?
Assume that each of the six wheels is a uniform disk.
A very thin hoop with a mass of is rolling along a horizontal floor. If the speed of the hoop's center of mass is how much work must be done on the hoop to stop it?
A solid cylinder with radius and mass is rolling down from rest without slipping for a distance of as shown in the above figure. The angle of the slope is What is the approximate angular speed of the cylinder about its center when it just meets the bottom of the slope, assuming that the gravitational acceleration is
Consider a situation where a uniform solid sphere, which was rolling smoothly along a horizontal floor, rises up along a slope. If it stops after it has rolled along the slope and then begins to roll backward, what was its initial speed?
The rotational inertia of a solid sphere about any diameter is where and are the mass and the radius of the solid sphere, respectively, and the gravitational acceleration is