Two additional cylinders, identical to the one shown, can each be hung on the bar by hooks from any of the open holes so that the bar will still be in rotational equilibrium when all three cylinders are hanging from it. From which two holes should the two cylinders be hung? Briefly explain your reasoning. A B CE FA uniform bar, of mass M, with seven evenly spaced holes is held bysliding the bar over a horizontal peg through one of the seven holes. Thepeg passes through hole C, and a cylinder hangs from a hook placedthrough hole B as shown above. The mass of the bar is equal to the massof the cylinder, and the location of the center of mass of the bar is at thecenter of hole D. In this configuration, the bar-cylinder system remainsmotionless but is free to rotate around the peg in hole C. Frictionalforces acting on the bar are negligible.

Given data: The mass of cylinder is equal to bar. Consider the mass of cylinder or bar is M.

Answered: Two additional cylinders, identical to…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.2P

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Two additional cylinders, identical to the one shown, can each be hung on the bar by hooks from any of the open holes so that the bar will still be in rotational equilibrium when all three cylinders are hanging from it. From which two holes should the two cylinders be hung? Briefly explain your reasoning.

A B C
E F
A uniform bar, of mass M, with seven evenly spaced holes is held by
sliding the bar over a horizontal peg through one of the seven holes. The
peg passes through hole C, and a cylinder hangs from a hook placed
through hole B as shown above. The mass of the bar is equal to the mass
of the cylinder, and the location of the center of mass of the bar is at the
center of hole D. In this configuration, the bar-cylinder system remains
motionless but is free to rotate around the peg in hole C. Frictional
forces acting on the bar are negligible.

Definition Video Definition A state wherein a body is not experiencing any resultant angular acceleration. If the net torque acting on the body is zero, then the body is said to be in rotational equilibrium. If the body is stationary and net torque is zero, then the body is in static rotational equilibrium. If the body is moving with constant velocity and net torque is zero, then, the body is said to be in dynamic rotational equilibrium. Video

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