Two wires A and B are of the same length. Their diameters are in the ratio 1:2 and the Young's modulii are in ratio 2: 1. If they are pulled by the same force, then elongations will be in ratio (a) (c) : 4:1 1:2 (b) (d) 1:4 2:1
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- Find the forces produced in Bars 1, 2, and 3 of the truss shown due to the action of a ball of weight W = 1000 lb, resting at the hinge D and supported by a cable EF as shown. The cable EF is parallel to AC. A -10-4-10² 2 3 B 0101010² 30²A metal rod of mass M = 6 kg and length L = 0.5 m, is attached at one end by a hinge to a vertical wall. It is initially supported at the other end so that it is in static equilibrium and lies horizontally. (a) (i) Determine the magnitude and direction of the force on the bar due to the support. (ii) Determine the magnitude and direction of the force on the bar due to the hinge. (b) Show that the moment of inertia of the bar about the end that is attached to the wall is IH = 0.5 kg m2 (c) The support is removed and the bar swings down about the end attached to the hinge. What is the acceleration of a point on the end of the rod just after the support is removed (at this instant the acceleration vector will point directly down)? Give your result in terms of g.The figure shows a horizontal beam of mass M = 59.9 kg and length L = 6.2 m supported at its left end by a frictionless pin and at the other end by an ideal cable attached to wall h = 8 m above the beam. A mass m = 23.5 kg is suspended from the beam a distance d = 3.3 m from the wall. Find the tension in the cable. h T = ←d→ m M -L- N
- A steel wire of length 1.40 m and diameter 1.00 mm is joined to an aluminum wire of identical dimensions to make a composite wire of length 2.80 m. What is the resulting change in length AL of this composite wire if an object with a mass of 5.00 kg is hung vertically from one of its ends? (Neglect any effect the masses of two wires have on the changes in their lengths.) AL = 1.751 Incorrect mmA uniform rod is attached to a wall by a hinge at its base. The rod has a mass of 3.5 kg, a length of 1.3 m, is at an angle of 31° 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. N FH Fv N4. (i) The force F acts on the bracket within the octant shown. If F = 400 N, ẞ = 60°, and y = 45%, determine the x, y, z components of F. (ii) The force F acts on the bracket within the octant shown. If the magnitudes of the x and z components of F are Fx = 300N and Fz = 600N respectively, and ẞ = 60º, determine the magnitude of F and its y component. Also, find the coordinate direction angles a and y.
- A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 700 N is applied to each end of the wire. What minimum diameter is required for the wire?Steel construction beams, with an industry designation of "W12 × 25," have a weight of 25 pounds per foot. A new business in town has hired you to place its sign on a 4.0 m long steel beam of this type. The design calls for the beam to extend outward horizontally from the front brick wall, as shown in the figure. It is to be held in place by a 5.0-m-long steel cable. The cable is attached to one end of the beam and to the wall above the point at which the beam is in contact with the wall. During an initial stage of construction, the beam is not to be bolted to the wall, but to be held in place solely by friction. 5.0 m 4.0 m Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company fls What is the minimum coefficient of friction beam and the wall for the beam to remain in static equilibrium? What is the tension T in the cable in this case? between the Ms = T = NOne model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the person's height h with the linear function LACL = 0.04606h – (41.29 mm) This relationship does not change significantly with age, gender, or weight. If a basketball player has a height of 2.13 m, approximately how long is his ACL? LACL mm If a stress of 1.05 × 10' N/m2 is applied to his ligament, how much will it stretch? The Young's modulus for the ACL is 1.10 x 108 N/m². change in LACL: mm
- The radius of a copper bar is 4 mm. What force is required to stretch the rod by 20% of its length assuming that the elastic limit is not exceeded? Y = 12 × 1010 N/m².Find the elongation of a rod made of aluminum and copper under a tension of 5.8×103 N. The dimensions of the rod are R=0.5 cm, LAl=10.5 m, LCu=5.5 m (Young moduli are 7.0×1010 Pa for Al and 11×1010 Pa for Cu)Determine the normal force N inside each bar Sa function of the external force P 1.5 m 2 m Probs. 1-40/41/42