In the figure, one end of a uniform beam of weight 220 N is hinged to a wall; the other end is supported by a wire that makes angles 8- 32° 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. Hinge 8

- 5. Two identical, uniform beams of length 3 m and weighing 260 N each are connected at one end by a frictionless hinge. A light horizontal crossbar, attached at the midpoints of the beams maintains an angle 50° between the beams. The beams are suspended from the ceiling by vertical wires so they form a V. See figure. (a) What force does the crossbar exert on each beam? (b) Is the crossbar under compression or tension, i.e. are the ends of the crossbar being pushed together or stretched farther apart? (c) What force (magnitude and direction) does the hinge exert on each beam? Crossbar Hinge

A uniform horizontal shelf of width L and mass m is held to a wall by a frictonless hinge and by a string at an angle of , measured from the shelf. The string is connected by the shelf at a distance of x from the wall. What is the tension in the string and what are the horizontal and vertical components of the hinge's force?

Questions 15-19 A rod of length L with non-uniform mass distribution is hinged horizontally to a vertical wall from one end. The rod is supported by a rope from the other end as shown in the figure such that the rope makes an angle of 30° with the horizontal. The linear mass density (mass per unit of length) of the rod is A(x)=8Cx/L where x is the distance from the hinge (x < L) and C is a constant. The unit of C is kg. The distance between point mass m and the hinge is L/2. M 15. What is mass M of the rode? (а) 8C/3 (Ь) 2C (е) С/2 (а) С (е) 2C/3

8. A uniform beam, length = 12 m, wt = 800 N, is hinged at the wall and makes an angle of 30° to the horizontal. A wire connected to the beam 2 meters from its end makes an angle of 45° to the beam. a) What is the tension in the wire? b) What is the vertical component of the force of the hinge and c) What is the horizontal component of the force of the hinge? 45 30

Two children of mass 21 kg and 26 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 2 m, at what distance from the pivot point is the small child sitting in order to maintain the balance? m

a 1001 N uniform beam is attached to a vertical wall at one end and js supported by a cable at the other end 1550 N crate hangs from the far end of the beam find the magnitude if the tension in the wire the angle theta is 21 degrees and phi is 32 degrees length of beam is L

In the figure, one end of a uniform beam of weight 120 N is hinged to a wall; the other end is supported by a wire that makes angles e = 25° 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. Hinge (a) Number Units (b) Number Units (c) Number Units

In the figure, one end of a uniform beam of weight 240 N is hinged to a wall; the other end is supported by a wire that makes angles 0 = 30° 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. Hinge (a) Number (b) Number (c) Number Units Units Units >

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.