15. Rotational Equilibrium
More 2D Equilibrium Problems
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- Multiple Choice
A 200 kg, 10 m-long beam is held at equilibrium by a hinge on the floor and a force you apply on it via a light rope connected to its edge, as shown. The beam is held at 53° above the horizontal, and your rope makes an angle of 30° with it. Calculate the angle that the Net Force of the hinge makes with the horizontal (use +/– for above/below +x, and use g=10 m/s2.)
- Multiple ChoiceA 3.0 m wood plank is supported by two scales. One scale is at the right end of the plank. The other scale is positioned such that it reads 620 N. If the mass of the plank is 85 kg, how far is the second scale from the right end of the plank?
- Multiple ChoiceSuppose a certain car has a track width of 1.6 m and a center of gravity located 0.40 m above the center of the track. What is the critical angle for this car?
- Open QuestionA 15,000-N crane pivots around a friction-free axle at its base and is supported by a cable making a 25° angle with the crane (Fig. E11.18). The crane is 16 m long and is not uniform, its center of gravity being 7.0 m from the axle as measured along the crane. The cable is attached 3.0 m from the upper end of the crane. When the crane is raised to 55° above the horizontal hold-ing an 11,000-N pallet of bricks by a 2.2-m, very light cord, find (a) the tension in the cable. Start with a free-body diagram of the crane.
- Open QuestionFIGURE P12.63 shows a 15 kg cylinder held at rest on a 20° slope.b. What is the magnitude of the static friction force?
- Open Question
(III) A refrigerator is approximately a uniform rectangular solid 1.9 m tall, 1.0 m wide, and 0.75 m deep. If it sits upright on a truck with its 1.0-m dimension in the direction of travel, and if the refrigerator cannot slide on the truck, how rapidly can the truck accelerate without tipping the refrigerator over? [Hint: The normal force would act at one corner.]
- Open Question
A uniform 95-kg flagpole of length 8.4 m is being erected by pulling on a rope attached 2/3 of the way to the top (Fig. 12–94). When the pole is inclined at 35° and the rope makes an angle with the ground of 18°, what is the tension in the rope?
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