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Pyramid Guilders. Ancient pyramid builders are balancing a uniform rectangular slab of stone tipped at an angle θ above the horizontal using a rope (Fig. P11.80). The rope is held by five workers who share the force equally, (a) If θ = 20.0°, what force does each worker exert on the rope? (b) As θ increases, does each worker have to exert more or less force than in part (a), assuming they do not change the angle of the rope? Why? (c) At what angle do the workers need to exert no force to balance the slab? What happens if θ exceeds this value?
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- A One end of a metal rod of weight Fg and length L presses against a corner between a wall and the floor (Fig. P14.64). A rope is attached to the other end of the rod. Find the magnitude of the tension in the rope if the angle between the rod and the rope is 90.arrow_forwardA 1.50x103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car's front at an angle 27.0° with respect to the ramp's surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0° above the horizontal. (Note: A free- body diagram (FBD) is required in this problem) (a) Find the force exerted by the ramp on the car's wheels. (b) Find the tension on the cable. (c) Suppose the wall where the other end of the cable was attached was replaced by a rotating motor. If the car is now accelerating towards the peak of the ramp at 3.00 m/s2 due to the rotating motor, how much tension is being exerted by the cable on the car?arrow_forwardA diver of weight 570 N stands at the end of a diving board of length L = 4.5 m and negligible mass (see the figure below). The board is fixed to two pedestals separated by distance d = 1.2 m. Take the upward direction to be positive. Of the forces acting on the board, what are (a) the force from the left pedestal and (b) the force from the right pedestal? ←d◄ Larrow_forward
- Consider a rigid steel beam of length L = 13.5 m and mass mb = 420 kg resting on two supports, one at each end. A worker of mass mw = 61 kg sits on the beam at a distance x from support A. Refer to the figure, though note that it is not drawn to scale. Enter an expression for the force support B must exert on the beam in order for it to remain at rest, in terms of defined quantities, x, and g.arrow_forwardA uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. N2 mg d b Since the floor is rough, it exerts both a normal force N, and a frictional force f, on the ladder. However, since the wall is frictionless, it exerts only a normal force N, on the ladder. The ladder has a length of L = 4.70 m, a weight of W = 68.0 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90 kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N1 N2 = f1 %3D (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N1 = N N2 = f1arrow_forwardA wrecking ball (weight = 5800 N) is supported by a boom, which may be assumed to be uniform and has a weight of 2750 N. As the drawing shows, a support cable runs from the top of the boom to the tractor. The angle between the support cable and the horizontal is 32°, and the angle between the boom and the horizontal is 48°. Find (a) the tension in the support cable and (b) the magnitude of the force exerted on the lower end of the boom by the hinge at point P. Support cable Вoom 48 (a) Number UnitšTN (b) Number UnitsTNarrow_forward
- It's exciting watching the construction and renovation happening in Uptown Columbus! On one construction site, you notice that a uniform beam of length 13.6 m and mass 47.9 kg is attached to a wall by a cable. The angle between the cable and the beam is 59.5°. The beam is free to pivot about the point where it attaches to the wall. What is the tension in the cable, if the beam is not moving? Your Answer: Answerarrow_forwarda uniform beam of length 12.0 m is supported by a horizontal cable and a hinge at angle u =50.0°. The tension in the cable is 400 N. In unit-vector notation, what are (a) the gravitational force on the beam and (b) the force on the beam from the hinge?arrow_forwardA wrecking ball (weight = 5670 N) is supported by a boom, which may be assumed to be uniform and has a weight of 2760 N. As the drawing shows, a support cable runs from the top of the boom to the tractor. The angle between the support cable and the horizontal is 32°, and the angle between the boom and the horizontal is 48°. Find (a) the tension in the support cable and (b) the magnitude of the force exerted on the lower end of the boom by the hinge at point P. (a) Number (b) Number Mk Support, cable Units Units N N 48 Boomarrow_forward
- In the figure, a uniform beam of length 13.5 m is supported by a horizontal cable and a hinge at angle θ = 54.8°. The tension in the cable is 423 N. What are (a) the x-component and (b) the y-component of the gravitational force on the beam? What are (c) the x-component and (d) the y-component of the force on the beam from the hinge?arrow_forwardA 10.0-kg monkey climbs a uniform ladder with weight 1.20 × 102 N andlength L = 3.00 m as shown. The ladder rests against the wall and makes an angle of θ = 60.0° with the ground. The upper and lower ends of the ladder rest on frictionless surfaces. The lower end is connected to the wall by a horizontal rope that is frayed and can support a maximum tension of only 80.0 N. (a) Draw a force diagram for the ladder. (b) Find the normal force exerted on the bottom of the ladder. (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. (d) Find the maximum distance d that the monkey can climb up the ladder before the rope breaks. (e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem change? What other information would you need to answer parts (c) and (d)?arrow_forwardChapter 12, Problem 028 GO In the figure, suppose the length L of the uniform bar is 3.1 m and its weight is 240 N. Also, let the block's weight W = 270 N and the angle e = 41°. The wire can withstand a maximum tension of 420 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? Com (a) Number Units (b) Number Units (c) Number Unitsarrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
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