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 greatest speed at the bottom of the ramp?

(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
What is the formula for the moment of inertia of a hollow cylinder rotating about an axis at its edge?

(a) I = 12MR2 (b) I = MR2

(c) I = 32MR2 (d) I = 2MR2
A meter stick is held such that it rotates at its end. If the meter stick has a mass of 100g, how much torque does gravity produce?

(a) 0 Nm (b) 0.5 Nm

(c) 0.75 Nm (d) 1 Nm

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 solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder...

A solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder of radius R all have the same mass, and all three are rotating with the same angular velocity. The sphere is rotating around an axis through its center, and each cylinder is rotating around its symmetry axis. Which one has the greatest rotational kinetic energy? both cylinders have the same rotational kinetic energy the solid cylinder the solid sphere they all have the same...

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...

A solid sphere, a follow sphere, and a ring (a hollow cylinder) of uniform density, each...

A solid sphere, a follow sphere, and a ring (a hollow cylinder) of uniform density, each with radius 0.24m and mass 2.6kg roll without slipping on a flat surface at an angular speed of 6.1 rad/s. They then roll without slipping up an incline. 1. What is the linear speed of the center of mass of the ring when it is rolling on the flat surface? 2. What happens as the objects roll up the incline? 3. How high up...

A solid cylinder, a thin hollow cylinder (with circular cross-section), and a thick hollow cylinder (with...

A solid cylinder, a thin hollow cylinder (with circular cross-section), and a thick hollow cylinder (with a donut cross section), of equal masses radii, are simultaneously released from rest at the top of an inclined plane and roll without slipping down the plane. Which object reaches the bottom of the inclined plane first? A) The solid cylinder B) The thin hollow cylinder C) The thick hollow cylinder D) All objects reach the bottom at the same time Please provide explanation.

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

An 7.90-cm-diameter, 310 g solid sphere is released from rest at the top of a 1.60-m-long,...

An 7.90-cm-diameter, 310 g solid sphere is released from rest at the top of a 1.60-m-long, 17.0 ∘ incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline? What fraction of its kinetic energy is rotational?

1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter starts from rest...

1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter starts from rest at the top of a 65 cm tall incline. There is just enough friction on the incline to make the sphere roll instead of slide. (a) What types of energy does the sphere have at the top? at the bottom? (b) What is the moment of inertia of the sphere? (c) What is the velocity of the sphere when it reaches the bottom of...

A solid homogeneous cylinder and a solid homogeneous sphere each have the same mass and radius....

A solid homogeneous cylinder and a solid homogeneous sphere each have the same mass and radius. They both roll without slipping, have the same linear speed and approach the same inclined plane. As they roll up the inclined plane, they continue to roll without slipping. Which object will reach the greatest height on the inclined plane? A: solid homogeneous cylinder B: solid homogeneous sphere C: they both reach the same maximum height If you could explain why in your answer...

A wheeled cart (frictionless), a solid cylinder of radius r, a solid sphere of radius r,...

A wheeled cart (frictionless), a solid cylinder of radius r, a solid sphere of radius r, and a hollow cylinder of radius r are all allowed to roll down an incline. Derive a general relationship for the linear acceleration of each object depending on the angle of the ramp and the rotational inertia. You may assume that the frictional force is small enough that it is only causing rotation in each case.

Question