# Sheet8 - Math 21B Kouba Challenge Sheet 8 1 An object of...

• Notes
• 1

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 21B Kouba Challenge Sheet 8 1.) An object of mass 2 kg. travels with a linear velocity of 5 m./sec. Compute its kinetic energy. 2.) A thin, straight rod of mass 2 kg. and length 3 meters rotates around one of its ends at the rate of 5 revolutions per second SET UP BUT DO NOT EVALUATE integral(s) which represent the kinetic energy of the rod. 3.) A thin, flat, square plate of mass 2 kg. and side length 3 meters rotates around one of its edges at the rate of 5 revolutions per second. SET UP BUT DO NOT EVALUATE integral(s) which represent the kinetic energy of the rod. 4.) A circular cylinder of mass 2 kg., height 3 meters, and diameter 3 meters rotates around an axis at the rate of 5 revolutions per second. SET UP BUT DO NOT EVALUATE integral(s) which represent the kinetic energy of the rod if the axis is a.) a line throught the centers of the circular ends of the cylinder. b.) a line parallel to the axis in part a.) and touching the outer edge of the cylinder. 5.) Determine the centroid (:2, 3]) of the region bounded by the graphs of a.) y 2 In an, m = 2, and y = 0. Does the centroid lie inside the region ? b.) y = :64 and y : 935. Does the centroid lie inside the region ‘? 6.) A tiny volcanic island has formed in the Paciﬁc Ocean. The depth of the ocean :6 miles from the island is 331:2 miles. Compute the volume of ocean water within a 2-mile radius of the island. 7.) The region in the ﬁrst quadrant bounded by the graphs of y = 302, y 2 8 — 21:2, and :1: = 0 is rotated around the y-axis to form a “flying saucer.” Sketch a graph of the saucer and compute its volume. ...
View Full Document

• Winter '09
• Kouba

{[ 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