A hoop, a solid disk, and a solid sphere, all with the same mass and the same radius, are set rolling without slipping up an incline, all with the same initial kinetic energy. <img src="//img.wizedu.com/questions/804186c0-cf87-11ec-a06f-d7ada0029adf.png" title="1652094109166065.png" alt="image.png"/>Which goes furthest up the incline? The hoop The disk The sphere They all roll to the same height Briefly explain your answer to the previous question. The same three objects as in the previous question are set rolling without slipping up an incline, all with the same initial linear speed. Which goes farthest up the incline? The hoop The solid disk The solid sphere They all roll to the same height Briefly explain your answer to the previous question

Question

In: Physics

A hoop, a solid disk, and a solid sphere, all with the same mass and the same radius, are set rolling without slipping up an incline, all with the same initial kinetic energy.

Which goes furthest up the incline?

The hoop

The disk

The sphere

They all roll to the same height

Briefly explain your answer to the previous question.

The same three objects as in the previous question are set rolling without slipping up an incline, all with the same initial linear speed. Which goes farthest up the incline?

The hoop

The solid disk

The solid sphere

They all roll to the same height

Briefly explain your answer to the previous question

Expert Solution

genius_generous answered 2 years ago

A disc and solid sphere are both rolling without slipping so that both have a kinetic...

A disc and solid sphere are both rolling without slipping so that both have a kinetic energy of 294. What is the translational kinetic energy of the disc ? What is the translational kinetic energy of the solid sphere ?

A uniform hoop of mass M and radius R rolls down an incline without slipping, starting...

A uniform hoop of mass M and radius R rolls down an incline without slipping, starting from rest. The angle of inclination of the incline is θ. a. After moving a distance L along the incline, what is the angular speed ω of the hoop? b. If the coefficient of static friction between the hoop and the incline is µs = 1/3, what is the greatest possible value of θ such that no slipping occurs between the hoop and the...

A box slides down a frictionless incline and a hoop, uniform disk and a solid sphere...

A box slides down a frictionless incline and a hoop, uniform disk and a solid sphere all roll down another incline of exactly the same length and height. They all have the same mass and start out from rest at the same time. Rank the objects: box, hoop, disk and sphere in the order they reach the bottom of the ramp. If any reach the bottom at the same time, state that explicitly. Reaches first ______ ______ ______ ______ Reaches bottom last

1. A solid uniform cylinder is rolling without slipping. What fraction of this cylinder's kinetic energy...

1. A solid uniform cylinder is rolling without slipping. What fraction of this cylinder's kinetic energy is rotational? (Note: the moment of inertia of a cylinder of mass M and radius R rotating about its central axis is 0.5MR2.) A 1/3 B 2/3 C 1/2 D 1/4 E 3/4 2. A public art installation consists of three 25-kg glass sculptures hung side-by-side with steel wires of length 1.00 m, 2.00 m and 3.00 m. If the wires all have the...

A hoop of mass M=400.g and radius R=20.0 cm is rolling without slipping in clockwise direction...

A hoop of mass M=400.g and radius R=20.0 cm is rolling without slipping in clockwise direction down an incline plane with the incline angle ? = 20? . 1. How much work is done by frictional force acting on the hoop on (1) translation, (2) rotation of the hoop? Show all work so that your final answer is justified. 2. How much is ???ℎ?? on the hoop? Explain by using your answer from part 1, and whatever other argument you...

1. A hollow sphere (mass 2.75 kg, radius 19.9 cm) is rolling without slipping along a...

1. A hollow sphere (mass 2.75 kg, radius 19.9 cm) is rolling without slipping along a horizontal surface, so its center of mass is moving at speed vo. It now comes to an incline that makes an angle 25.6o with the horizontal, and it rolls without slipping up the incline until it comes to a complete stop. Find a, the magnitude of the linear acceleration of the ball as it travels up the incline, in m/s2. 2. At t =...

Problem: a unifiorm hoop of mass m and radius r rolls without slipping on a fixed...

Problem: a unifiorm hoop of mass m and radius r rolls without slipping on a fixed cylinder of radius R. if the hoop is stats rolling from rest on top of the bigger cylinder, use the method of Lagrange multipliers to find the point at which the hoop fall off the cylinder. Question: I know how to derive Lagrange equeation. but to use the method of Lagrange multipliers, i have to finde constrain. solution says that f1, f2 are constrain....

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 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...

3) A solid cylinder with mass 4kg and radius r=0.5 m rolls without slipping from a...

3) A solid cylinder with mass 4kg and radius r=0.5 m rolls without slipping from a height of 10 meters on an inclined plane with length 20 meters. a) Find the friction force so that it rolls without slippingb) Calculate the minimum coefficient of rolling friction muc) Calculate its speed as it arrives at the bottom of the inclined plane.