In the figure, a uniform beam of weight 410 N and length 3.4 m is suspended horizontally. On the left it is hinged to a wall; on the right it is supported by a cable bolted to the wall at distance D above the beam. The least tension that will snap the cable is 1000 N. What value of D corresponds to that tension? Cable Beam Number Units Use correct number of significant digits; the tolerance is +/-2%

6m T 10m A 8m Figure 4 A B 6. A horizontal beam AB of mass m = 20kg is supported from end B by a cable and hinged to a A vertical wall at end A. Calculate the magnitude of the tension T in the cable when Batman, who has a mass M = 80 kg, stands midway along the beam. What are the x and y components of the force at the hinge?

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 shelf bracket is mounted on a vertical wall by a single screw. S S2 S1 Neglecting the weight of the bracket, and if s = 6.4 cm, s1 the horizontal force component exerted on the bracket by the screw when a 95.2 N vertical force is applied as shown. Imagine that the bracket is slightly loose. 5.4 cm and s2 = 2.2 cm, find =

A 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 beam is connected to the floor by a hinge. A rope is attached to the other end of the beam. The other end of the rope is connected to the ceiling. There is box sitting on the beam (see figure).The angle between the beam and the floor is 8.60 degrees. The angle between the rope and the horizontal is 20.0 degrees. The beam is 4.00-m long and has a mass of 6.80 kg. The box sits a distance of d = 0.620 m from the upper end of the beam and has a mass of 8.00 kg. The tension in the rope is 205.7 N.What is the horizontal component of the force on the beam due to the hinge?