a uniform rod of mass m is hinged to a building at its lower end, while its upper end is held in place by a rope attached to the wall. If angle u1 = 60°, what value must angle u2 have so that the tension in the rope is equal to mg/2?

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.

H 60° Figure 6 G M 8. A uniform rod HG of length 2L m and mass m = 2 kg is hinged at end H, as shown in Figure 6 A mass Mg=100 N is hung at the other end G. A horizontal cable at the midpoint of the rod holds it at an angle of 60° to the horizontal. The cable is under a constant tension T. (a) Draw a diagram showing all the forces acting on the rod and determine the tension T in the cable. (b) Calculate both the x and y components (Fr and F₁) of the force F at the hinge H. (c) Will the net force F at H act along the rod HG? Justify your answer.

Structural member AB is to be supported by a strut CD. Determine the smallest length CD may have, and specify where D must be located for a strut of this length to be used. Take x= 120 mm. 60 mm D. y 20 mm E The smallest length CD may have is mm. The coordinates of point Dare ( and Imm.

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

A cylindrical steel rod is originally 250 cm long and has a diameter of 0.257 cm. A force F is applied longitudinally and the rod stretches 0.910 cm. What is the magnitude of the force? F = N

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 painter stands on a uniform horizontal beam of length L = 6.0 m that is held in equilibrium by support cables attached to the roof as shown in Figure 3. The beam has a weight Wb = 250.0 N and the tensions on the left and the right ends are measured to be Tl = 360.0 N and Tl = 200.0 N respectively. A. Calculate the weight of the painter Wp , and Wb. the distance x where the painter is standing.