Quiz3equilibriumAnswer - be zero and =-= = = ∑ ∑ Tx Hx...

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AP1200 Quiz 3 Student Name _________________ Student ID __________________________ 1. A uniform beam is 2.2 meters long with a mass of 25kg. It is mounted by a hinge on the wall. The beam is held in a horizontal position by a wire that makes an angle of 30 degrees with the beam. The beam supports a 280kg mass M suspended from its end. (a) Use the free-body diagram to show all the forces acting on the beam. (b) Write the necessary equations to find all the forces (do not solve) Answer: (a) The forces acting on the beam (b) The system is in static equilibrium. The sum of all forces along any direction should
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Unformatted text preview: be zero. and =-= =--+ = ∑ ∑ Tx Hx x Ty Hy y F F F Mg mg F F F The sum of the torques should also be zero. Use the end of the beam as the pivot point, we have: 1 . 1 2 . 2 = +-= ∑ mg F Hy τ M hinge supporting wire F T F H mg Mg 2. How many different positions of stable equilibrium and unstable equilibrium are there for a cube? Consider each surface, edge, and corner to be a different position. Answer There are 6 stable faces, and 20 unstable (12 edges and 8 corners) equilibrium positions for a cube that is made of uniform materials....
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This note was uploaded on 01/11/2011 for the course AP 1200 taught by Professor Michela.vanhove during the Spring '10 term at City University of Hong Kong.

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Quiz3equilibriumAnswer - be zero and =-= = = ∑ ∑ Tx Hx...

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