Chapter 12
1. (p.329 prob.73) The center of gravity of a loaded truck depends on how it is packed. If a truck is 4.0m high and 2.4m wide, and its CG is 2.2m above the ground, how steep a slope can the truck be parked on without tipping over sideways?
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2. (p.330 prob.81) A 20-m-long uniform beam weighing 600N is supported on walls A and B, as show inn Fig. 12-91. (a) Find the maximum weight a person can be to walk to the extreme end D without tipping the beam. Find the forces that the walls A and B exert on the beam when the person is standing: (b) At D; (c) at a point 2.0m to the right of B; (d) 2.0m to the right of A.
3. (p.330 prob.91) Two identical, uniform beams are symmetrically set up against each other (Fig. 12-96) on a floor with which they have a coefficient of friction ms = 0.60. What is the minimum angle the beams can make with the floor and still not fall?
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4. (p.330 prob.95) A 20.0-kg ball is supported from the ceiling by rope A. Rope B pulls downward and to the side on the ball. If the angle of A to the vertical is 20° and if B makes an angle of 50° to the vertical (Fig. 12-100), find the tensions in ropes A and B.