Two men are carrying a ladder of length 1 by supporting it at its ends. At what distance x from one end must a can of paint, of mass 1/4 of that of the ladder, be suspended so that the men carry equal loads?
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A: The questions are answered below
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![Two men are carrying a ladder of length 1 by supporting it at its
ends. At what distance x from one end must a can of paint, of
mass 1/4 of that of the ladder, be suspended so that the men
carry equal loads?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc95e35aa-092e-4366-b40b-c3654c0db2c4%2F65192203-85a3-4fe3-8ba6-43a8e261c597%2Fgxpa2d_processed.png&w=3840&q=75)
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- During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the legs. If the upward force on the lower performer is three times her weight, how much (in m) do the bones (the femurs) in her upper legs stretch? You may assume each is equivalent to a uniform rod 40.0 cm long and 1.74 cm in radius. Her mass is 65.0 kg.A uniform 37.0 kg scaffold of length 6.2 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 1.6 mfrom 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).A uniform drawbridge must be held at a 38o angle above the horizontal to allow ships to pass underneath. The drawbridge weights 55000 N and is 15.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place. What is the tension in the cable? Find the magnitude and direction of the force the hinge exerts on the bridge. If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks? What is the angular speed of the drawbridge as it becomes horizontal? What is the velocity of the drawbridge, just before it “hits” (i.e. goes horizontal)?
- A house painter is standing on a uniform, horizontal platform that isheld in equilibrium by two cables attached to supports on the roof.The painter has a mass of 75.0 kg and the mass of the platform is 20.0kg. The distance from the left end of the platform to where the painteris standing is d = 2.00 m and the total length of the platform is 5.0 m.(a) How large is the force exerted by the left hand cable? (b) Howlarge is the force exerted by the right hand cable? [Hint: You can placeyour axis in any convenient location if the object is not rotating.]In the figure, one end of a uniform beam of weight 350 N is hinged to a wall; the other end is supported by a wire that makes angles - 26° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. (a) Number (b) Number (c) Number i i Units Units Units Hinge 8 > <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 Units
- One end of a uniform { = 4.30-m-long rod of weight w is supported by a cable at an angle of 0 = 37° with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is µ. = 0.490. Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A. B Need Help? Read It Watch It(b) In the figure below, a uniform beam of weight 500 N and length 3.0 m is suspended horizontally. On the left it is hinged to a wall; on the right it is sup- ported by a cable bolted to the wall at distance D above the beam. The least tension that will snap the cable is 1200 N. (a) What value of D corresponds to that tension? (b) To prevent the cable from snapping, should D be increased or decreased from that value? D Cable BeamIn 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.