Question

A lamp of mass M is hung off of a steel bar of mass m and length / (treat as known). The bar makes a M450 60° angle with the vertical wall. In order to prevent the steel bar from bending or snapping, a cable is hung off of the wall that connects at the end of the bar. The cable creates a 45° angle with the vertical wall. 60° a) Draw an extended free body diagram (not for a point mass) for the bar showing all the forces act- ing on the bar. Be sure to indicate the point of application of the force and be sure to label all the forces. (5 points) b) Determine the tension in the support cable. (6 points) c) Determine if any other forces other than Tension and Gravity exist, where they need to be applied to maintain equilibrium, and their values symbolically (7 points) d) Why is the cable necessary to maintain equilib- rium? (2 points)

Answer 1

a free body diagram of bar 06 My - Mg I T : Tension in cable. N : Reaction force at my weight of bar at My weight of lamp o. center of mass bar by static force balence, T sin 45o = mg + Mg + N cos 600 I cos 45o = N Sinbo T = N. I – (MAM) g + T5 x ² T= √ (m+M) I V3 -1 Reaction force (N) is encist at point 'o' to maintain the equilibrium. NET? ( mm) consider the angular momentum balence about us both weights are in produce clock wise moment, : for balencing there should be a force (Tension) that produce counter clockwise moment