A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an...

A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an angular velocity 10.0 rad/s. The sphere is dropped from a low height onto a flat platform of mass 5.00 kg. The sphere begins to skid and move along the platform until it rolls without slipping. The coefficient of kinetic friction between the sphere and the platform is 0.70. The coefficient of friction between the platform and the ground is 0.05, and the platform begins to slide across the ground. Find an expression for the horizontal position of the center of mass of the sphere as a function of time (hint—it’s piecewise!), and note the times at which the sphere’s motion changes.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

3. A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to...

3. A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an angular velocity 10.0 rad/s. The sphere is dropped from a low height onto a flat platform of mass 5.00 kg. The sphere begins to skid and move along the platform until it rolls without slipping. The coefficient of kinetic friction between the sphere and the platform is 0.70. The coefficient of friction between the platform and the ground is 0.05, and the platform...

A solid sphere of radius 10 cm and mass 3.0 kg is rotating about its end...

A solid sphere of radius 10 cm and mass 3.0 kg is rotating about its end at 5.6 rev/s. what is its kinetic energy?

Attempt 4 A uniform, solid sphere of radius 5.50 cm and mass 1.25 kg starts with...

Attempt 4 A uniform, solid sphere of radius 5.50 cm and mass 1.25 kg starts with a purely translational speed of 3.25 m/s at the top of an inclined plane. The surface of the incline is 2.50 m long, and is tilted at an angle of 34.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp.

A solid conducting sphere of radius 1.00 cm has a uniform charge of -5.00 µC. It...

A solid conducting sphere of radius 1.00 cm has a uniform charge of -5.00 µC. It is surrounded by a concentric spherical shell, with a radius of 2.50 cm, that has a uniform charge of +6.00 µC. Determine the magnitude and direction of the electric field (a) at the center of the sphere (r = 0), (b) at r = 0.500 cm, (c) at r = 2.00 cm, and (d) at r = 3.00 cm.

Consider a solid, insulating sphere of radius a = 5.00 cm carrying a net positive charge...

Consider a solid, insulating sphere of radius a = 5.00 cm carrying a net positive charge of Q = 3.00 μC uniformly distributed throughout its volume. Concentric with this sphere is a hollow, conducting spherical shell with inner radius b = 10.0 cm and outer radius c = 15.0 cm having a net negative charge of q = -1.00 μC. a) Give the expression from Gauss’s Law for the magnitude of electric field inside the insulating sphere for 0 ≤...

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a...

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a length of 40 cm is rolling across a horizontal floor with a linear speed of 12 m/s. The cylinder then comes to a ramp, and, as it is rolling up this ramp without slipping, it is slowing down. When the cylinder finally comes to a stop and begins rolling back down the ramp, how high is it above the floor?

A uniform, solid sphere of radius 5.00 cmand mass 1.75 kgstarts with a purely translational speed...

A uniform, solid sphere of radius 5.00 cmand mass 1.75 kgstarts with a purely translational speed of 3.25 m/sat the top of an inclined plane. The surface of the incline is 1.75 mlong, and is tilted at an angle of 24.0∘with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2at the bottom of the ramp.

A solid bowling ball with a radius of 10.9 cm and a mass of 7.3 kg...

A solid bowling ball with a radius of 10.9 cm and a mass of 7.3 kg rolls along a bowling alley at a linear speed of 2.6 m/s. What is its translational kinetic energy? What is its rotational kinetic energy

1. A uniform disk of mass M = 5.00 kg and radius r = 24.0 cm...

1. A uniform disk of mass M = 5.00 kg and radius r = 24.0 cm is mounted on a motor through its center. The motor accelerates the disk uniformly from rest by exerting a constant torque of 1.50 N · m. (a) What is the time required for the disk to reach an angular speed of 8.50 ✕ 102 rpm? (b) What is the number of revolutions through which the disk spins before reaching this angular speed? 2. A...

A solid sphere (mass 0.324 kg, radius 0.245 m) sits at rest on a horizontal floor....

A solid sphere (mass 0.324 kg, radius 0.245 m) sits at rest on a horizontal floor. You begin to push the sphere until it is rotating at 42.6 Hz. Assume the sphere always moves by rolling without slipping. Find the work you have done to accelerated the sphere, in J.

Subjects