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mt2sol_08

# mt2sol_08 - Phyiscs 9A-A Midterm 2 Solutions...

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å R R cos å mg F N å mg cos å R cos å F N å mg Phyiscs 9A-A Midterm 2 Solutions Cole [1] a) True b) U = E , c) Î p , d) lesser, e) False, f) steepest, g) greater, h) momentum, i) zero, j) Watt. [2] a) (15 pts) W = F d r 1 2 . The displacement occurs along 3 segments : W 1 = β y ˆ j ( ) dy ˆ j ( ) 0 3 = β y dy 0 3 = 1 2 β y 2 0 3 = 9 2 β . W 2 = β y ˆ j ( ) dx ˆ i ( ) 0 3 = 0 W 3 = β y ˆ j ( ) dx ˆ i + dy ˆ j ( ) = β y dy 3 0 . õ W 3 = + 9 2 β Finding the total work done W 1 + W 2 + W 3 = 9 2 β + 0 + 9 2 β = 0 . b) (5 pts) The work done around a closed path is zero, so the work is independent of the path. The force is a conservative force. [3] Draw a free-body diagram for the beam. Because the position of the coyote is variable, assign it a variable, x . The sum of the torques and the sum of the forces must be zero. Start with the torques, and set the origin at the pivot to eliminate the pivot forces from the torque equation.

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