To show that the center of mass of the given wire is located at x c m = ( R sin θ m ) / θ m ; value of x c m at θ m = π ; value of x c m at θ m = π 2 .

Question

Want to see the full answer?

Answer 1

Question

Chapter 5, Problem 111P

To determine

To show that the center of mass of the given wire is located at xcm=(Rsinθm)/θm ; value of xcm at θm=π ; value of xcm at θm=π2 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

This next figure shows a uniform metal plate P of radius 2R from which a disk of radius R has been stamped out (removed) in an assembly line. Using the xy coordinate system shown, we want to locate the center of mass comP (Xcom, Ycom) of plate P in terms of R.

= Fn NVIDIA Consider five equal mass objects all with the same non-zero kinetic energy. Unless otherwise stated assume the axis of rotation is through the center-of-mass. Assume all densities are uniform or constant. 4 Order these objects from lowest angular velocity (1) to highest angular velocity (5). A V Type here to search FH alexa ENABLED V 7 Hoop of radius R (axis perpendicular to plane of disk). Solid disk of radius R (axis perpendicular to plane of disk). Solid sphere of radius R. Rod of length 2R (axis perpendicular to rod, axis through END of rod). Rod of length 2R (axis perpendicular to rod). Alt 4 A O 15 Et 1 ال 199+) O IA JU U Le 1 Raining now PE Ctrl = ASUS

Angular Momentum around CM In the class I claimed that regardless of the motion of an extended object, we have ext CM TCM where LCM and TOM are, respectively, the angular momentum and the net external torque around the CM. Assuming all the internal forces are central, prOve this result. (This result is surprising since the CM may be accelerating, so a fixed point in any inertial frame.) .ext that it is not necessarily Hint: You can define ra R+ r as shown in the following firgure. CM ra R a Ta