09_InstSolManual_PDF_Part15

# 09_InstSolManual_PDF_Part15 - Rotational Motion 9-15(b Now...

• Notes
• 1

This preview shows page 1. Sign up to view the full content.

(b) Now the initial potential energy is converted to both translational and rotational kinetic energy as the stone rolls down the hill: so and This gives and (c) In (a) all the initial gravitational potential energy is converted back to final gravitational potential energy; the kinetic energy at the final maximum height is zero. In (b) the stone gains rotational kinetic energy as it rolls down the hill and it still has this rotational kinetic energy at its maximum height; not all the initial potential energy is converted into the final potential energy. Reflect: Both answers do not depend on the mass or radius of the stone. But the answer to (b) depends on how the mass is distributed; the answer would be different for a hollow rolling sphere. 9.70. Set Up: Use conservation of energy, to find the speed of the ball just as it leaves the top of the cliff. Let at the bottom of the cliff, so and Rolling without slipping gives Consider the projectile motion of the ball after it goes over the cliff to find its horizontal range and final speed.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern