In order for the angular momentum of a system to be conserved ? (complete the se

Question

In order for the angular momentum of a system to be conserved ? (complete the sentence) a. the NET TORQUE acting on the system must be ZERO. b. the NET TORQUE acting on the system need only be CONSTANT. c. the NET TORQUE acting on the system must be NON ZERO. d. the NET TORQUE acting on the system can not be CONSTANT. e. the NET TORQUE acting on the system must be INSANE!!!!! A thin non uniform beam has a length of L, a weight of 800 lb, and its center of gravity is located at x = (3/4)L from its left end. A block weighing 1200 lb rests on the beam at a distance d = (1/4)L from its left end. The beam/block is held in a horizontal orientation by two supports (A and B) which can only exert normal forces on the beam. What is the magnitude of the normal force exerted by support B on the beam? (in lb)

Explanation / Answer

(a)
The law of conservation of angular momentum states that when no external torque acts on an object, no change of angular momentum will occur.

So,
For Angular Momentum of the system to be conserved, Net Toruq = 0.

(b)
Let the support at B = Fb
Taking Net Torque across the Left end to be Zero.
800 * (3/4)*L + 1200 * (1/4)* L = Fb* L
Fb = 900 lb

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