Chapter 12: Q57P (page 351)
In Fig 12-66, asphere is supported on a frictionless plane inclined at angle from the horizontal. Angle is . Calculate the tension in the cable.
Short Answer
Tension in the cable is
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Chapter 12: Q57P (page 351)
In Fig 12-66, asphere is supported on a frictionless plane inclined at angle from the horizontal. Angle is . Calculate the tension in the cable.
Tension in the cable is
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A construction worker attempts to lift a uniform beam off the floor and raise it to a vertical position. The beam is long and weighs . At a certain instant the worker holds the beam momentarily at rest with one end at distance above the floor, as shown in Fig. 12-75, by exerting a force on the beam, perpendicular to the beam. (a) What is the magnitude P? (b) What is the magnitude of the (net) force of the floor on the beam? (c) What is the minimum value the coefficient of static friction between beam and floor can have in order for the beam not to slip at this instant?
Four bricks of length , identical and uniform, are stacked on a table in two ways, as shown in Fig. 12-83 (compare with Problem 63). We seek to maximize the overhang distance h in both arrangements. Find the optimum distances , , , and , and calculate hfor the two arrangements.

In Fig. 12-39, arock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width W = 0.20 m,and the center of mass of the climber is a horizontal distance d = 0.40 mfrom the fissure. The coefficient of static friction betweenhands and rock is,and between boots and rock it is. (a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) For the horizontal pull of (a), what must be the vertical distance h between hands and feet? If the climber encounters wet rock, so thatare reduced, what happens to (c) the answer to (a) and (d) the answer to (b)?

In the Figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by AA=2AB; the Young’s moduli of the cylinders are related by EA=2EB. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick’s mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dA for cylinder A and dB for cylinder B. (c) What is the ratio dA/dB ?
Figure:

Question: Fig. 12-31 shows the anatomical structures in the lower leg and foot that are involved in standing on tiptoe, with the heel raised slightly off the floor so that the foot effectively contacts the floor only at point P. Assume distance a = 0 .5 cm , distanceb = 15 cm, and the person’s weight W = 900 N. Of the forces acting on the foot, what are the (a) magnitude and (b) direction (up or down) of the force at point Afrom the calf muscle and the (c) magnitude and (d) direction (up or down) of the force at point Bfrom the lower leg bones?

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