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Equilibrium and Free-Body Diagrams in Mechanics

PHYS 170 Practice Midterm z 1. A 102 kg TV camera is 1.5 m above the origin on a tripod. A. Draw the free-body diagram for the camera. Give names to the forces. You may draw directly on the figure. B. Write the the camera weight force, and the unit vectors for upward forces A, B, and C, as column vectors. A 1.2 m C. Write the equation for equilibrium using the above column vectors D. Find the magnitudes of compression forces A, B, and C. 1.5 m B y 1.2 m 0.5 m 0.3 m C x 2. A catapult with 10.2 kg projectile A and 102 kg counterweight B is restrained by cord C just above the ground. Neglect the size of A, and the weight of the catapult arm. 3 m 13 m D B 5 m A C A. Draw the free-body diagram for the catapult arm. Give names to forces. You may draw directly on the figure. B. Write the equations for force equilibrium of the catapult arm C. Write the equation for moment equilibrium of the catapult arm D. Find the tension in cord C and the reaction at pivot D.