n the figure, one end of a uniform beam of weight 130 N is hinged to a wall; the other end is supported by a wire that makes angles 4° 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 hing on the beam. Hinge (a) Number i (b) Number Mi Units Units
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34° 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.
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- In the figure, one end of a uniform beam of weight 350 N is hinged to a wall; the other end is supported by a wire that makes angles e = 31° 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. ITinge (a) Number i Units (b) Number i Units (c) Number i UnitsA 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
- A 1140-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960-N crate hangs from the far end of the beam. Using the data shown in the figure, find (a) the magnitude of the tension in the wire and the magnitudes of the (b) horizontal and (c) vertical components of the force that the wall exerts on the left end of the beam. 50.0° 30.0% Beam 1960 NThe figure a shows a horizontal uniform beam of mass mo 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 mp is positioned on the beam at a distance x from the left end. The total mass is mp + mp = 56.5 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 T axis is set by T₁ = 500 N and Tb = 700 N. Evaluate (a) angle 8, (b) mass mb, and (c) mass mp. (a) Number i (b) Number i (c) Number MI (a) Cable 0 T (N) Z To Tao Units Units Units 0.2 0.4 0.6 0.8 1 x/L (b) <Ea- d ms A horizontal L=1.4 m long mb3D12kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 30° angle with horizontal. A 22 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.
- The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 35o by a brace that is attached to a pin. The beam has a weight of 342 N. Three additional forces keep the beam in equilibrium. The brace applies a force P¯ to the right end of the beam that is directed upward at the angle θ with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H¯ and a vertical component V¯. Find the magnitudes of these three forces.A uniform rod is attached to a wall by a hinge at its base. The rod has mass of 8.0 kg, a length of 1.8 m, is at an angle of 17° above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod. (a) Determine the tension in the cord. N (b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge. FH = N Fv = NIn 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.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.