The figure a shows a horizontal uniform beam of mass m, and length L that is supported on the left by a hinge attached to a wall and on the right by a cable at angle 0 with the horizontal. A package of mass m, is positioned on the beam at a distance x from the left end. The total mass is m, + mp = 60.2 kg. The figure b gives the tension T in the cable as a function of the package's position given as a fraction x/L of the beam length. The scale of the Taxis is set by Ta = 500 N and Tb = 700 N. Evaluate (a) angle 8, (b) mass mb, and (c) mass mp To - (a) Cable T (N) Tao 0.2 0.4 0.6 0.8 1 x/L (b)

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 uniform beam of length L = 11.7 meters and mass of 109.3 kg is pinned at one end and is being supported by a wire as shown. The wire is connected to the beam x = 3.3 meters from the pin. A person of mass 81.6 kg is standing all the way out on the edge of the beam. If θ = 17.3 degrees and φ = 79.4 degrees, what is the tension in the wire?

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

The figure below shows a beam of uniform density with a mass of 35.5 kg and a length t5.95 m. It is suspended from a cable at a distance d 1.20 m from its left end, while its right end is supported by a vertical column. (a) What is the tension (in N) in the cable? (b) What is the magnitude of the force (in N) that the column exerts on the right end of the beam? Need Help? Read Page 20

A uniform 36.0-kg beam of length ℓ = 4.20 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. Answer parts a-b.

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.