A scaffold of mass 62 kg and length 7.0 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 76 kg stands at a point 2.3 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number Units (b) Number Units
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 alt="Chapter 12, Problem 0o6
A scaffold of mass 62 kg and length 7.0 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 76 kg stands at a point 2.3 m from one end. What is the
tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable?
(a) Number
Units
(b) Number
Units
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- In the figure below, a uniform beam of weight 420 N and length 2.8 m is suspended horizontally. On the left it is hinged to a wall; on the right is it supported by a cable bolted to the wall at distance D above the beam. The least tension that will snap the cable is 1200 N. Cable Beam (a) What value of D corresponds to that tension? (b) Give any value for D that won't snap the cable. mThe drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle 0 = 40° by a brace that is attached to a pin. The beam has a weight of 340 N. Three additional forces keep the beam in equilibrium. The brace applies a force P, and the hinge applies a force with a horizontal component H and a vertical component V. (a) Draw the free- body diagram showing the forces that act on the beam. Find the magnitudes of the forces (b) P, (c) H, and (d) V. Beam Hinge Pin Ꮎ Brace EProblem: A 80 kg construction worker is sitting 2.0 m from the right end of a 1450 kg, 6.0 m long beam. What is the tension in the cable attached at an angle of 30 deg. from the beam? (A) Pictorial Representation (B) Physical Representation
- A taho vendor carries a 1.5 m long light plank over his shoulder. At the ends of the plank are two buckets weighing 40 N and 60 N respectively. (a) Find the value of force F exerted by his shoulder. Neglect the weight of the plank. ( b) Where should he support the plank for it to be balanced horizontallyA beam with length of 2 m and a mass of 10 kg supports a 50 kg box. The beam is connected to a wall by a hinge at its base and a horizontal wire. The wire is connected to the beam 1.5 m from the hinge and makes an angle θ of 35o to the beam. The goal is to find the tension in the wire and the horizontal and vertical components of the force exerted by the hinge on the board. Suppose the maximum tension that the wire can withstand is 1500 N. What is the maximum load that the hinge can support before the wire breaks?A uniform 34.0-kg beam of length { = 5.95 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical column. (a) Find the tension in the rope. (b) Find the force that the column exerts on the right end of the beam. (Enter the magnitude.)
- A hiker, who weighs 659 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 4280 N, and rests on two concrete supports, one on each end. He stops 1/5 of the way along the bridge. What is the magnitude of the force that a concrete support exerts on the bridge (a) at the near end and (b) at the far end?A scaffold of mass 71 kg and length 4.8 mis supported in a horizontal position by a vertical cable at each end. A window washer of mass 64 Kg stands at a point 2.4 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number UnitsA scaffold of mass 79 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 84 kg stands at a point 1.1 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number i Units (b) Number i Units
- In a city park a nonuniform wooden beam 4.00 m long is suspended horizontally by a light steel cable at each end. The cable at the left-hand end makes an angle of 30.0° with the vertical and has tension 620 N. The cable at the right-hand end of the beam makes an angle of 50.0° with the vertical. As an employee of the Parks and Recreation Department, you are asked to find the weight of the beam and the location of its center of gravity.A uniform 37.0 kg scaffold of length 6.4 m is supported by two light cables, as shown below. An 82.0 kg painter stands 1.0 m from the left end of the scaffold, and his painting equipment is 1.3 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables (in N) and the mass of the equipment (in kg). (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) tension in the left cable N tension in the right cable mass of the equipment kgA fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal. Write an expression for the tension in any one of the three fence wires. What is the normal force that the ground exerts upward on the post?