A high-speed lifting mechanism supports a 840-kg object with a steel cable that is 31.0 m long and 4.00 cm2 in cross-sectional area. (a) Determine the elongation of the cable.  mm (b) By what additional amount does the cable increase in length if the object is accelerated upwards at a rate of 2.7 m/s2?  mm

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

A:

Q: The second  floor  portion  of  a  house  is  about  to  break  down,  so  it  was  propped  up by…

A: The young's modulus is given as Y=FLA∆L…

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Q: A nylon rope used by mountaineers elongates under the weight of a 65.0-kg climber. If the rope is…

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Q: The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a…

A: Given: s=2.0*108 Pad = 0.5 cm = 0.005 mM = 200 Kg

Q: A steel wire of diameter 1 mm can support a tension of 0.2 kN. Determine the diameter of a steel…

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Q: RJA hollow cylinder is to be punched out of a sheet of aluminum. The inner radius is 1cm and outer…

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Q: A wire of 2.0000 m length and 1.0 mm diameter is suspended from the ceiling. Hanging a 4.500 kg…

A: Original length L = 2.0000 m  Diameter of wire d = 1.0 mm  Radius of wire r = d/2 = 1.0 / 2 mm = 0.5…

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Q: A 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically.…

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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: diameter of a steel cable to support a tension of 20 kN? 2. A rubber band 20 cm long has a…

A: According to the guidelines issued by the company we are supposed to answer only first question.…

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A: Shear modulus is the ratio of shear stress to the shear strain. Using the equation for shear…

Q: A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length…

A: Solution:-

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Q: A body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional…

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Q: A 1200-kg car is being raised with a constant acceleration of 2.53 m/s by a crane, using a 20-m long…

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Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

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A: Given that,  The mass of the lift, m is 800kg. The allowable stress on the steel cable, σ is 1.2×108…

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A: height of cylinder (h) = 4.3 m Surface area (A) = 0.080 m2mass of elephant (m) = 1800 kg Young's…

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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: An unknown block has shear modulus 8.0x 106 N/m 2 is used to stop cars at the end. The shearing…

A:

Q: In a structure you need to place a 7.8 m steel wire that does not stretch more than 8.5 cm when a…

A: Write the given values with suitable variables. L0=7.8 mΔL=8.5 cm=0.085 mF=391.6 NE=20×1010 N/m2…

Q: A tunnel of length L = 130 m, height H = 9.4 m, and width 5.6 m (with a flat roof) is to be…

A: L = 130 m, height H = 9.4 m, and width 5.6 m (with a flat roof) is to be constructed at distance d =…

Q: A certain wire, 3 m long, stretches by 1.2 mm when under tension 200 N. A wire with twice the…

A: The length=3m  The diameter d=3m

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Q: A rubber band 20 cm long has a cross-sectional area of 4mm^2. What load will stretch the rubber band…

A: ΔL=Elongation of rubber band=1 mm=1×10−3 mF=LoadA=Cross-sectional area=4 mm2=4×10−6 mE=Modulus of…

Q: 9. A stainless-steel orthodontic wire is applied to a tooth, as in Figure. The wire has an…

A:

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.90 mm, if the wire…

A: Given data: Stretch (elongation) in steel wire ?l = 7.90 mm The original length of wire L = 1.3 m…

Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

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A: We need to calculate the elongation of the rod when the given force is applied.

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Q: A steel cable 3.00 cm2 in the cross-sectional area has a mass of 2.40 kg per meter of length. If 500…

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Q: By how much does a 65.0-kg mountain climber stretch her 0.800-cm diameter nylon rope when she hangs…

A: The expression for find change in length is ∆l=FlAY=mglAY

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Q: A vertical steel beam in a building supports a load of 6.0 x 104 N. a) If the length of the beam…

A: Force= 60000 N Length of beam = 4 m Area = 8 x 10-3 m2

Q: A solid steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure…

A: Given : radius, r= 2 m  Pressure, P = 15 MN/m2 = 15 × 106 N/m2  Bulk modulus, B=1.6×1011 N/m2  Find…

Q: A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the value of the…

A: The stress is defined as the force per unit area.

Q: A diver stands (100kg) at the end of a diving board, causing the board to dip 15cm. The board has a…

A: Given : Mass of diver = 100 kg Weight (F) = 100 *9.8 = 980 N Dip in board (x) = 15 cm = 0.15m Width…

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A: Given data: mass (m) = 75.2 kg cross-sectional area (A) = 8 cm2 uncompressed length (L) = 50.5 cm…

Q: 6. A steel beam is placed vertically in the basement of a building to keep the floor above from…

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).