Question

A ball rolls down a ramp without slipping. It starts from rest. (a) Specify the mass...

A ball rolls down a ramp without slipping. It starts from rest.

(a) Specify the mass and radius of the ball, and the height and length of the ramp.

(b) Calculate the moment of inertia of the ball

. (c) Calculate the potential energy of the ball at the top of the ramp.

(d) Calculate the linear kinetic energy and rotational kinetic energy of the ball.

(e) Determine the angular acceleration of the ball.

(f) Determine how long the ball takes to travel down the ramp.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A Brunswick bowling ball with mass M= 7kg and radius R=0.15m rolls from rest down a...
A Brunswick bowling ball with mass M= 7kg and radius R=0.15m rolls from rest down a ramp without slipping. The initial height of the incline is H= 2m. The moment of inertia of the ball is I=(2/5)MR2 What is the total kinetic energy of the bowling ball at the bottom of the incline? 684J 342J 235J 137J If the speed of the bowling ball at the bottom of the incline is V=5m/s, what is the rotational speed ω at the...
1. A cylindrical wooden log rolls without slipping down a small ramp. The log has a...
1. A cylindrical wooden log rolls without slipping down a small ramp. The log has a radius of 16 cm, a length of 2.5 m, and a mass of 130 kg. The log starts from rest near the top of the ramp. When the log reaches the bottom of the ramp, it is rolling at a linear speed of 2.3 m/s. a.) Assuming that the log is a perfect cylinder of uniform density, find the log’s moment of inertia (about...
A solid cylinder of mass 1.3 kg and radius 2.0 cm starts from rest at some...
A solid cylinder of mass 1.3 kg and radius 2.0 cm starts from rest at some height above the ground and rolls down an ncline without slipping. At the bottom of the incline, its linear speed is 2.5 m/s. (a) How much is its angular speed? (b) How much is its rotational kinetic energy? The moment of inertia of a solid cyllinder is 21mR2 (c) How much is its total energy at the bottom? (d) From what height did it...
1) A ball of 2 kg rolls without slipping along a horizontal floor with a velocity...
1) A ball of 2 kg rolls without slipping along a horizontal floor with a velocity of 10m/s. 1a) find the rotational kinetic energy of this ball. 1b) Now, the ball rolls up an inclined ramp (rolls without slipping). What height does the ball reach along the ramp before it finally stops? 2) Consider a stick of total mass M and length L rotates about one end. Since the stick gets heavier as you move along a stick, the stick...
A solid metal ball starts from rest and rolls without slipping a distance of d =...
A solid metal ball starts from rest and rolls without slipping a distance of d = 4.2 m down a θ = 38° ramp. The ball has uniform density, a mass M = 4.7 kg and a radius R = 0.33 m. What is the magnitude of the frictional force on the sphere?
A solid metal ball starts from rest and rolls without slipping a distance of d =...
A solid metal ball starts from rest and rolls without slipping a distance of d = 4.2 m down a θ = 38° ramp. The ball has uniform density, a mass M = 4.7 kg and a radius R = 0.33 m. What is the magnitude of the frictional force on the sphere?
A ball of mass M and radius R rolls smoothly from rest down a ramp and...
A ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.47 m. The initial height of the ball is h = 0.35 m. At the loop bottom, the magnitude of the normal force on the ball is 2.0 Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of...
A solid cylinder starts rolling without slipping from the top of an inclined plane. The cylinder...
A solid cylinder starts rolling without slipping from the top of an inclined plane. The cylinder starts moving from rest at a vertical height 10m. The mass of the cylinder is 1kg and its radius is .5m. The moment of inertia of the cylinder is 1/2 mr2 (where m is the mass of the cylinder and r is its radius). C.What is the rotational kinetic energy of the cylinder when its vertical height is 3 m? D.What is the translational...
A ball rolls without slipping down a ramp with a 20 degree slope. If the ball...
A ball rolls without slipping down a ramp with a 20 degree slope. If the ball starts 2.0m higher than the end of the ramp and the ramp is 3.0m above the ground, how far out from the end of the ramp does the ball land? I(ball)= 2/5 mr^2
A solid cylinder starts rolling without slipping from the top of an inclined plane. The cylinder...
A solid cylinder starts rolling without slipping from the top of an inclined plane. The cylinder starts moving from rest at a vertical height 10m. The mass of the cylinder is 1kg and its radius is .5m. The moment of inertia of the cylinder is 1/2 mr2 (where m is the mass of the cylinder and r is its radius). What is the speed of the center of mass of the cylinder when its vertical height is 4 mm ?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT