A crate of mass 523 kg is hanging at the end of a uniform beam of mass 112 kg. If the angle between the cable and the beam is 0=30.0° as shown, find (a) the tension T in the cable, (b) the magnitude of force F supporting the beam by wall, and (c) the directional angle a of F. (a) [ 11348 x 104 N; (b) [ 9843 x x 103 N; (c) [ 86.8
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- The 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 EA uniform beam with a length of 2.50 meters and a mass of 85.0 kg rests on two ropes. A person of mass 65.0 kg is standing on the far right end of the beam. The beam is not moving.Calculate the tension in the rope on the left, in Newtons (N).Calculate the tension in the rope on the right, in Newtons (N).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)?In the figure, one end of a uniform beam of weight 280 N is hinged to a wall; the other end is supported by a wire that makes angles θ = 28° 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 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
- A 1,375 N dowel is held in place by a light cord at an angle = 25.5° to the horizontal as shown in the figure. The dowel is attached to a pivot at the bottom, and a mass of weight w= 1,825 N hangs from its top. The dowel makes an angle of p = 64.5° with the horizontal. Assume the dowel is uniform. (a) Find the tension in the supporting cord (in kN). KN (b) Find the components of the reaction force (in kN) exerted by the floor on the dowel. horizontal component: magnitude direction KN -Select-O vertical component: magnitude direction kN --Select-OA 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 UnitsOne 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
- 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 ladder rests against a frictionless wall. It has a mass of 40 kg, a length of 6.4 m, and makes an angle of 56° with the ground. Find the horizontal and vertical force components exerted by the ground on the bottom of the ladder if a standard man stands on the ladder 4 m from the ground. (Assume the mass of the standard man is 70 kg. Enter the magnitudes in newtons.)