A Foucault pendulum in a physics department (used to prove that the earth rotates) consists of a 120 kg steel ball that swings at the end of a 6.0-m-long steel cable. The cable has a diameter of 2.5 mm. When the ball was first hung from the cable, by how much did the cable stretch?

Q: A 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm2. The wire…

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Q: A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same…

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Q: A 2.5 meter metal column has a 4500kg load placed on it and it compresses 0.0016 meters.  If the…

A: The Young's modulus is given by, Y=stressstrain The stress is given by, stress=FA Here, F is the…

Q: The elastic limit of an alloy is 7.0 x 10% N/m². What is the minimum radius rmin of a 4.0 m long…

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Q: How large a force is necessary to stretch a 2.0-mm-diameter steel wire (Y = 2.0 x 1011 N/m2) by…

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Q: After a fall, a 85 kg rock climber finds himself dangling from the end of a rope that had been 18 m…

A: Given Data Mass of the rock climber is m=85 kg Length of the rope is l=18 m Diameter of the rope is…

Q: Stiller Düzenleme Üs B 2) A uniform brass plate with area of 18 x 18 m? has mass of 41 kg which is…

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Q: A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m2) that is…

A: Given that, Young's modulus of steel =2.0×1011 N/m2 Length of the wire  = 9.70 m Radius of the wire…

Q: we analyzed a cable used to support an actor as he swings onto the stage. Now suppose the tension in…

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Q: A steel wire 2.3 mm in diameter stretches by 0.030% when a mass is suspended from it. How large is…

A: The Young's modulus is given by  where, M is the mass, g is the gravity, A is the area, L is the…

Q: The anchor rope of a sailboat is a nylon rope of length 60 m and diameter 1.3 cm. While anchored…

A: Given: The length of the rope is 60 m. The diameter is 1.3 cm. The force is 1.8x104 N.

Q: An 11.0-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

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Q: One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in…

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Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

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Q: A nylon string on a tennis racket is under a tension of 275 N. If the string's radius is 5.00 x 10-4…

A: The equation for the change in length can be obtained from equation for the Young’s Modulus as

Q: The yield strength of an alloy is 7.0 x 108 N/m? What is the minimum radius rmin of a 3.0 m long…

A: Given that - restoring normal force  Stress To Find - We have to determine the value of the…

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: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

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Q: When a tension is applied to an aluminum wire it stretches 0.1 m. The initial length of the wire is…

A: The solution can be given as follows :-

Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

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Q: A bob of mass 30 kg hangs from a copper wire ( Y= 11x10 ^10 N/m^2). The wire has an initial length…

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Q: A particular human hair has a Young's modulus of 3.31 x 10° N/m2 and a diameter of 145 um. If a 236…

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Q: A steel cable 1.70 m in length and with cross-sectional radius 0.380 mm is used to suspend from the…

A: Length of cable (L) = 1.70 m cross sectional radisu (r) = 0.38 mm mass (m) = 20 kg angular speed =…

Q: A steel wire, 3.2 m long, has a diameter of 1.2 mm. The wire stretches 1.6 mm when it bears a load.…

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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 mine elevator is supported by a single steel cable 2.5 cm in diameter. The total mass of the…

A: The expression for the elastic module,

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A:

Q: The elastic limit of an alloy is 5.0×108 N/m2. What is the minimum radius ?min of a 9.0 m long wire…

A: ...

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

Q: After a fall, a 71 kg rock climber finds himself dangling from the end of a rope that had been 18 m…

A: Stress is defined as force per unit area So Stress = FA Strain =change in lengthoriginal length=∆LL…

Q: A cable used to lift heavy materials can resist breaking even under a load of 1 meganewtons. The…

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Q: After a fall, a 100 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

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Q: After a fall, a 99 kg rock climber finds himself dangling from the end of a rope that had been 14 m…

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Q: A physics lab consists of a large ball attached to a wire. Students hold on to one end of the wire,…

A: Here given the wire of length 1.3 m and diameter 1mm. The young modulus is 20 × 10^10 N/m². The mass…

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 19 m…

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Q: A 4.0-kg object is supported by an aluminum wire of length 2.0 m and diameter 2.0 mm. How much will…

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Q: A 2.0-m-long rod has a density in kilograms per meter A 1.0 kg/m, b = 1.0 k9/m² , and x is the…

A: Given, λ=a+bx, where a=1 kg and b=1.0 kg/m2  =1+xL=2.0 m Solution distance dx from the left end of…

Q: Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin…

A: Consider the mass of the Gold as 1.915g.Find the volume of the gold formed into a thin leaf.

Q: The beam is made of an elastic-plastic material for which σYσYsigma_Y = 70 MPaMPa . The largest…

A: Given Data ; The stress in the beam is given as σy=70 Mpa The width of the beam is given as b =…

Q: A 30.0 kg hammer strikes a steel spike 2.30 cm in diameter while moving with speed 20.0 m/s. The…

A: Given : Mass of hammer is 30.0 kg Hammer rebounds speed is 10.0 m/s

Q: One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in…

A: Given, ,

Q: In a skyscraper, an elevator is suspended from three equal, parallel 300-m-long steel cables, each…

A: Young's modulus of steel = 2 * 1011 N/m2Length of each cable = 300 m Diameter of each cable = 1 cm…

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 14 m…

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Q: A steel wire of diameter 4.72 mm stretches by 7.98 mm when a 320 -kg piece of equipment is suspended…

A: diameter of wire (d) = 4.72 mm Stretch in length (y) = 7.98 mm mass suspended (m) = 320 kg New…

Q: A 15 cm long animal tendon was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given Data : The length of the animal tendon is given as l=15cm=15cm×1m100cm=15×10-2m. The change in…

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).