10_InstSolManual_PDF_Part34

# 10_InstSolManual_PDF_Part34 - 10-34 Chapter 10 10.84 Set Up...

• Notes
• 1

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

10.84. Set Up: When the marble rolls without slipping it has both rotational and translational kinetic energy and Let be upward. Take at the bottom of the hill so and The initial speed is Solve: (a) (i) no slipping: At the maximum height, so so This gives so and (ii) no friction: Gravity does work and converts to gravitational potential energy. But there is no torque for an axis through the center of mass and and remain constant. Only is converted to and (b) The ball goes higher with friction. The friction force, that reduces
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: is directed up the hill. v , h 5 v 2 2 g . 1 2 m v 2 5 mgh U grav . K tran K rot v K tran h 5 7 v 2 10 g 7 10 m v cm 2 5 mgh 1 2 I cm v 2 5 1 2 A 2 5 mR 2 B1 v cm / R 2 2 5 1 5 m v cm 2 1 2 m v cm 2 1 1 2 I cm v 2 5 mgh . K i 5 U f . K f 5 U i 5 0, v 5 0. v cm 5 v cm 5 R v . U i 1 K i 5 U f 1 K f . v cm 5 v . y f 5 h . y i 5 y 5 1 y I cm 5 2 5 mR 2 . v cm 5 R v . 10-34 Chapter 10...
View Full 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