The dimensions of a rectangular block of brass (Young's modulus 9.0x1010 N/m², shear modulus 3.5x1010 N/m²) are 0.013 m, 0.027 m, and 0.041 m. The block is to be glued to a table and subjected to a horizontal force of 740 N, as shown in the figure. Note that there are three possible choices for the surface of the block that is in contact with the table. What is the maximum possible distance the top surface can move, relative to the bottom surface?
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- In the figure, a 122 kg uniform log hangs by two steel wires, A and B, both of radius 1.10 mm. Initially, wire A was 2.70 m long and 1.95 mm shorter than wire B. The log is now horizontal. Young's modulus for steel is 2.00 × 10¹¹ N/m². What are the magnitudes of the forces on it from (a) wire A and (b) wire B? (c) What is the ratio da/dB? (a) Number (b) Number i 21918 809.7 (c) Number i 31.2 Wire A Units N Units N Units -da- -dg- com Wire B This answer has no unitsA 77-kg water skier is being pulled by a nylon (Young's modulus 3.7 × 10° N/m2) tow rope that is attached to a boat. The unstretched length of the rope is 11 m and its cross-section area is 2.4 x 10-5 m2. As the skier moves, a resistive force (due to the water) of magnitude 160 N acts on her; this force is directed opposite to her motion. What is the change in length of the rope when the skier has an acceleration whose magnitude is 0.63 m/2?Let A be the last digit and let B be the second to last digit of your 8-digit student ID. A steel wire is used to lift heavy object. The cable has a diameter of 9.25 mm and an initial length of 24.5 m. If the cable stretches 2.50 mm, what is the mass of the heavy object? Use 20.0 x 1010 Pa for Young’s modulus for steel. Give your answer in kg and with 3 significant figures.
- A rectangular timber tie 180 mm x 80 mm is reinforced by a bar of aluminium of 25 mm diameter. Calculate the stress in the timber and reinforcement when the tie carries an axial load of 300 KN. E for timber = 15 GN/m2 , E for aluminium = 90 GN/M2A 73-kg snow skier is being pulled up a 19° slope by a steel (Young's modulus 2.0 x 1011 N/m²) cable. The cable has a cross-section area of 8.2 x 105 m². The cable applies a force to the skier, and, in doing so, the cable stretches by 2.6 x 104 m. A frictional force of magnitude 88 N acts on the skis and is directed opposite to the skier's motion. If the skier's acceleration up the slope has a magnitude of 1.4 m/s², what is the original (unstretched) length of the cable? Number i UnitsA 1.2 x 10-³-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x 10⁹ N/m² and a radius of 18 x 10 m. Suppose that a 65-kg person is hanging vertically on an aluminum (Young's modulus 6.9 x 1010 N/m²) wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider? Number i Units
- In the figure, a 134 kg uniform log hangs by two steel wires, A and B, both of radius 1.20 mm. Initially, wire A was 2.70 m long and 1.75 mm shorter than wire B: The log is now horizontal. Young's modulus for steel is 2.00 x 1011 N/m² What are the magnitudes of the forces on it from (a) wire A and (b) wire B? (c) What is the ratio da/dg? (a) Number i (b) Number (c) Number Wire A Units Units Units Wire BChapter 12, Problem 028 GO In the figure, suppose the length L of the uniform bar is 2.7 m and its weight is 220 N. Also, let the block's weight W = 280 N and the angle 0 = 27°. The wire can withstand a maximum tension of 440 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? com A (a) Number Units (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show WorkAfter an unfortunate accident occurred at a local warehouse, you were contracted to determine the cause. A jib crane collapsed and injured a worker. An image of this type of crane is shown in the figure.The horizontal steel beam had a mass of 88.50 kg per meter of length, and the tension in the cable was T = 12560 N. The crane was rated for a maximum load of P 500 kg. If d = 5.000 m, s = 0.558 m, x = 1.050 m, and h = 1.980 m, what was the magnitude of W1 (the load on the crane) before the collapse? The acceleration due to gravity is g = 9.810 m/s². 444.23 Wi = N Incorrect What was the magnitude of force Fp at the attachment point P? Fp = N
- A 330 gram ball is attached to one end of a rubber (Young's Modulus= 0.120 GN/m2) wire of diameter 1.32 mm and an unstretched length of 83.0 cm. The other end of the wire is attached to the top of a post. The ball rotates around the post in a horizontal plane such that the angle between the wire and the horizontal is 10.5 degrees. Find the tension in the wire and the increase in the wire's length due to the tension in the wire. Tension 17.75 Vo N %3D ALength = cmIn the figure, a 140 kg uniform log hangs by two steel wires, A and B, both of radius 1.25 mm. Initially, wire A was 2.40 m long and 2.15 mm shorter than wire B. The log is now horizontal. Young's modulus for steel is 2.00 x 1011 N/m?. What are the magnitudes of the forces on it from (a) wire A and (b) wire B? (c) What is the ratio da/dg? Wire A Wire B d ComAssume that if the shear stress in steel exceeds about 4.00 x 108 N/m², the steel ruptures. (a) Determine the shearing force necessary to shear a steel bolt 1.40 cm in diameter. IN (b) Determine the shearing force necessary to punch a 1.25-cm-diameter hole in a steel plate 0.550 cm thick. N