07_InstSolManual_PDF_Part19

# 07_InstSolManual_PDF_Part19 - Work and Energy 7-19 7.85 Set...

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

7.85. Set Up: At any point, the potential energy is given by where l is the string length and is the angle the string makes with the vertical. At the top of the swing, the kinetic energy is zero while the potential energy is a maximum since whereas, at the bottom of travel, the kinetic energy becomes a maximum equal to the of the top of the swing. In terms of conservation of energy, or where “f “ refers to the vertical position of the pendulum and “i “ refers to top of travel. Solve: Solving for the velocity, The tension in the string at this instant is found using a force balance of the weight and radial acceleration, Reflect: As the string passes through the vertical the ball has an upward acceleration, due to its circular motion. Therefore, there is a net upward force and the tension is greater than the weight of the ball. 7.86. Set Up: Since Let at the lowest point in a swing. Then and as shown in the sketch.
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