Question

A sphere with a mass 'm' that is solid rolls up an incline that has angle theta with an initial speed of Vo in the shown position. The rough surface has static friction μ that prevents the sphere from slipping as it rolls up this incline.

Part A: Calculate the maximum distance "D" that the sphere can go up this incline using newton's laws

Part B: Calculate the maximum distance "D" that the sphere can go up this incline using energy methods

Part C: Prove that these two methods of calculating "D" are the same

Vo D m

0 0
Add a comment Improve this question Transcribed image text
Answer #1

31 vo Н O No - ori moment of inenta 1 a moz from Ensy Consenation a more at 1 2162 you 6 mp + ${ima) (C)? - ong osmo 7 m2 ng

Add a comment
Know the answer?
Add Answer to:
A sphere with a mass 'm' that is solid rolls up an incline that has angle...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A solid sphere of mass M and radius R sits on a an incline of angle...

    A solid sphere of mass M and radius R sits on a an incline of angle θ, when it is let go it rolls down-hill without slipping at total vertical distance of h. At the bottom of the hill the ball moves onto a horizontal surface and enters into a completely elastic collision with a stationary block of height 2R and mass 2M. Find the speed of the block right after the collision.

  • If a solid sphere with mass 12 kg and radius 0.1 m rolls without slipping with...

    If a solid sphere with mass 12 kg and radius 0.1 m rolls without slipping with a constant angular speed of 50 rad/s: (SHOW WORK). How far does it go up an incline of 42° if it continues to not slip? How far does it go up the same incline if instead it starts slipping? (i.e no friction between the ball and the incline)

  • 1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up...

    1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1.The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho. will the sphere roll up the other side? Smooth Rough Ho

  • A solid sphere of weight 36.0 N rolls up an incline at an angle of 30.0...

    A solid sphere of weight 36.0 N rolls up an incline at an angle of 30.0 . At the bottom of the incline the center of mass of the sphere has a translational speed of 4.90 m/s.(a) What is the kinetic energy of the sphere at the bottom of the incline? (b) How far does the sphere travel up along the incline? (c) Does the answer to (b)depend on the sphere’s mass?

  • A thin hoop of radius r = 0.82 m and mass M = 7.3 kg rolls...

    A thin hoop of radius r = 0.82 m and mass M = 7.3 kg rolls without slipping across a horizontal floor with a velocity v = 1.1 m/s. It then rolls up an incline with an angle of inclination theta = 44 degrees. a) What is the maximum height h reached by the hoop before rolling back down the incline? b) Now, suppose a uniform solid sphere is used instead of a hoop. Use the same values of r,...

  • A solid sphere of radius R and mass 10.0kg is placed on an incline plane of...

    A solid sphere of radius R and mass 10.0kg is placed on an incline plane of variable angle. The coefficients of static and kinetic friction are μs=0.29 and μk=0.14. (a) What is the minimum angle such that the sphere slides down the plane?   o (b) What is the frictional force at this angle?   N (c) If the angle of the incline plane is half of that in part (a) what are the acceleration of the sphere and the force of...

  • A solid sphere of radius R and mass 10.0kg is placed on an incline plane of...

    A solid sphere of radius R and mass 10.0kg is placed on an incline plane of variable angle. The coefficients of static and kinetic friction are μs=0.29 and μk=0.14. (a) What is the minimum angle such that the sphere slides down the plane?   o (b) What is the frictional force at this angle?   N (c) If the angle of the incline plane is half of that in part (a) what are the acceleration of the sphere and the force of...

  • A sphere of mass M and radius R starts at rest and rolls without slipping down an incline and embeds itself in a hollow...

    A sphere of mass M and radius R starts at rest and rolls without slipping down an incline and embeds itself in a hollow cube at the bottom that is only 1/5 its mass. If the incline is h tall and the table has a height of D from the floor, at what horizontal distance from the table do the two objects land? The cube/sphere combination leaves the incline moving horizontally.

  • 1. (20 points) A hollow sphere of radius r and mass m starts from rest and...

    1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1. The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho will the sphere roll up the other side? Rough Smooth

  • A solid sphere (I = 2/5 MR2) of mass 0.44 kg and radius 0.022 m rolls,...

    A solid sphere (I = 2/5 MR2) of mass 0.44 kg and radius 0.022 m rolls, without slipping, down an incline of height 0.98 m. What is the speed of the sphere at the bottom of the incline?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT