A hollow sphere is released from the top of an inclined plane of inclination theta. (a)...

A hollow sphere is released from the top of an inclined plane of inclination theta. (a) What should be the minimum coefficient of friction between the plane and the sphere to prevent it from sliding? (b) Find the kinetic energy of the sphere as it moves down a length l on the incline if the friction coefficient is half the value calculated in part (a).

Please show all steps

Expert Solution

genius_generous answered 7 months ago

A hollow ball and a solid sphere are released from rest and roll down an inclined...

A hollow ball and a solid sphere are released from rest and roll down an inclined plane. Both have a mass of 1 kg, a radius of 5 cm, and experience a torque of 0.01 N m. Assume both balls roll without slipping. What is the difference in their linear velocities after the balls have both lost 4 m of elevation? I’d like you to use energy to solve this problem.

A hollow sphere, a solid cylinder, and a hollow cylinder are all released from rest at...

A hollow sphere, a solid cylinder, and a hollow cylinder are all released from rest at the top of a ramp. Which object reaches the bottom of the ramp first? (a) The hollow sphere (b) The solid cylinder (c) The hollow cylinder (d) They all reach the bottom of the ramp at the same time A hollow sphere, a solid cylinder, and a hollow cylinder are all released from rest at the top of a ramp. Which object has the...

A 4.00-kg block rests on an inclined plane that has an inclination angle of 31.3o. A...

A 4.00-kg block rests on an inclined plane that has an inclination angle of 31.3o. A string attached to this block, goes uphill and over a frictionless pulley, and then is attached to a hanging block of mass M. The inclined plane has coefficients of friction μs = 0.22 and μk = 0.13. Draw a real world picture of this scenario. Draw the free body diagrams for each of the blocks. Show how to determine the mass M that will...

A 4 kg block is placed at the top of an inclined plane. The plane is...

A 4 kg block is placed at the top of an inclined plane. The plane is 2.5 meters long and inclined at 34°. The coefficient of kinetic friction between the block and plane is 0.27. The block slides the 2.0 meters down the ramp. What speed does it have at the bottom?

Consider an object that begins rolling from rest at the top of an inclined plane. Assume...

Consider an object that begins rolling from rest at the top of an inclined plane. Assume that there is no slipping between the object and the ramp, and that the bottom of the ramp is defined as h = 0. What form(s) of energy does the object have at the top of the ramp, before it begins moving? (a) Gravitational Potential (c) Rotational Kinetic (b) Translational Kinetic (d) Thermal What form(s) of energy does the object have when it has...

a block slides down a frictionless inclined plane of height h=1m, making theta with the horizontal....

a block slides down a frictionless inclined plane of height h=1m, making theta with the horizontal. At the bottom of the plane, the block continues to move on a flat surface with a coefficient of friction u = 0.30. How far does the mass move on the flat surface?

A 3.4- cm-radius ball rolls down an inclined plane from rest at the top. The angular...

A 3.4- cm-radius ball rolls down an inclined plane from rest at the top. The angular acceleration of the rolling ball about its center is 275 rad/s2, and its angular speed at the bottom is 58.4 rad/s. How long is the plane?

A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular...

A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular acceleration of the rolling ball about its center is 245 rad/s2, and its angular speed at the bottom is 44.4 rad/s. How long is the plane?

Object 1 is held at rest at the top of a rough inclined plane of length...

Object 1 is held at rest at the top of a rough inclined plane of length ? = 1.5 ? and angle ? = 25∘. When it is released, it moves with an acceleration of 2 ? down the plane. a) Find the coefficient of kinetic friction ?? of the inclined plane. (??) b) Find the speed of Object 1 when it reaches the bottom of the plane. (??) At the bottom of the inclined plane, Object 1 arrives at...

Rotational Inertia –Rolling Kinetic Energy. A solid sphere, a hollow sphere, a hollow cylinder, and a...

Rotational Inertia –Rolling Kinetic Energy. A solid sphere, a hollow sphere, a hollow cylinder, and a solid cylinder, all of with same mass (M=0.25 kg ) and radius(R= 0.20 m) – are placed at the top of an incline at height (h= 1.5 m ). All the objects are released from rest at the same moment to roll down without slipping. Hint: search for the rotational inertia formula for each of the rolling object first. Then calculate each of them...

Question