A suspender rod of a suspension bridge is 25.0 m long. If the rod is made of steel, what must its diameter be so that it does not stretch more than 1.0 cm when a 2.5 × 104 -kg truck passes by it? Assume that the rod supports all of the weight of the truck.

Q: A tightrope walker stands on a wire that is supported by a pole at each end. The tightrope walker…

A: Given that the tension in wire is3.42×103 N, and it makes an angle of 6.2°. The young’s modulus of…

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Q: During a wrestling match, a 116 kg wrestler briefly stands on one hand during a maneuver designed to…

A: Basic Details The young’s modulus is defined as the ratio of stress to that of strain. Stress is…

Q: A uniform pencil is held horizontal with a thumb at the end and index finger under it 3 cm from the…

A: The length of the pencil is 15 m. Its mass is 20 g Thus mass per meter is 2015=1.33 g m-1 So mass of…

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Q: 1. At the local airport, a person carries a 21-kg suitcase in one hand. Assuming the humerus (the…

A: We are authorized to answer one Question at a time, since you have not mentioned which question you…

Q: A steel cable with a radius of 1.5cm supports a chairlift at a ski area. If the maximum stress is…

A: The equation for the stress is given by,

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Q: A 3.0-m long steel wire of radius 0.60mm supports a weight of 50N. By how much is the wire elongated…

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Q: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x10 N/m2. If a rock…

A: Given: Diameter,d=10.5mm=10.5×10-3mRadius,r=5.25mm=5.25×10-3mYoung's…

Q: When using a pencil eraser, you exert a vertical force of 6.00 N at a distance of 2.00 cm from the…

A: a. the cross sectional area of the pencil is The shear force on the pole act in perpendicular…

Q: Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod…

A: Write the expression for Young’s modulus, solve it for the stress of the copper rod as follows.

Q: ) A 54 kg diver is at the end of a diving board. That is 3.8 m long and has a mass of 26 kg. What is…

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Q: A cable used to lift heavy materials like steel I-beams must be strong enough to resist breaking…

A: Given,Force, (a) To find the cross-sectional area A:Taking the average ultimate tensile strength of…

Q: Calculate the force a piano tuner applies to stretch a steel piano wire by 8.00 mm, if the wire is…

A: The cross-sectional area of the wire can be obtained as

Q: A three-legged wooden bar stool made out of solid Douglas fir has legs that are 2.0 cm in diameter.…

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Q: A 30 kg mass is suspended from an aluminum wire of length 2.5 m and diameter of 1.5 mm. By how much…

A: Given data: The mass is m=30 kg The length of the wire is l=2.5 m The diameter is d=1.5 mm=0.001 m…

Q: A glass optical fiber in a communications system has a diameter of 9.0 μm. What maximum tension…

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Q: An elevator is suspended by a heavy steel cable. If this cable were replaced by two steel cables…

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Q: By how much does a 69.3 kg mountain climber stretch her 0.810 cm diameter nylon rope when she hangs…

A: Mass of mountain climber, m = 69.3 kg Diameter of Nylon rope, d = 0.810 cm Original length, lo =…

Q: A cable is 100 m long and has a cross-sectional area of 1.0 x 10-6 m2. A 1000 N force is applied to…

A: The objective of the question is to find out how far the cable stretches when a force is applied to…

Q: A 2.50-m-long steel wire has a radius of 0.075 cm. How much tension is needed to stretch the wire…

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Q: A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.2 m long and has a…

A: Given data: The length of the steel cable is L=9.2 m. The radius of the steel cable is R=0.50 cm.…

Q: A wall climber of mass 85 kg dangles at the end of a rope. The rope has a diameter of 9.6 mm, and is…

A: mass= 85 Kg Length, L= 21 m radius, r= 4.8 mm ∆L= 3.2 cm

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Q: A copper wire of diameter 1.0 cm stretches 1.0% when it is used to lift a load upward with an…

A: Given that:- Diameter of copper wire=d=1 cm

Q: A 50-kg steel pipe 4 meter long is supported by a rope attached 1.7 m attached from one end.…

A: The mass of the rod is, m=50 kg   The length of the rod is, l=4 m   The distance of the rope from…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50 x…

A: Given :      Young's modulus for bone, Y = 1.50*1010 N/m2       Stress to break the bone, S =…

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Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What…

A: Given, Diameter of the metal bar, d = 6.0 mm = 6.0 × 10–3 mRadius, r = d/2 = 2.5 × 10-3 m Maximum…

Q: When using a pencil eraser, you exert a vertical force of 4.00 N at a distance of 2.00 cm from the…

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Q: Q. 30 : What should be the weight suspended from the end of a steel wire 2m in length and by 2mm in…

A: Given-D=2mmTherefore-r=1 mm=0.001 mL=2ml=1 mm=0.001 m

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.10 mm, if the wire…

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Q: A particular human hair has a Young's modulus of 3.64 × 10° N/m² and a diameter of 148 μm. If a 217…

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Q: A 2×12 board of airdried Southern Yellow Pine (~12% moisture) is about 2.18 kg per linear foot. A…

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Q: A tightrope walker stands on a wire that is supported by a pole at each end. The tightrope walker…

A: Solution: Given that The tightrope walker creates a tension T = 3.42 ✕ 103 N in a wire making an…