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 9.70 m long and has a radius of 0.466 cm. When the car just begins to move, the tension in the cable is 840 N. How much has the cable stretched?

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 100 N picture hangs from a nail in the wall. The diameter of the nail is 3.00 mm. The shear stress…

A: Write the given values with the suitable variables. F=100Nd=3 mm=3×10-3 m Here, F is the force and d…

Q: 7. A rotating wheel ring has a mass density of 7850kg/m^3. At what angular velocity will the stress…

A: Centripetal force (CF) is given by the formula CF = mω2 x where  m=ρV =ρ×area×periphery=ρAπRx=2Rπ

Q: A ball has a radius of 1 meter. The Bulk modulus is 4.2 × 1010 N/m2. It is located on the surface of…

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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:

Q: The boom in the figure is 2m long and weighs 100 N. If the 800N load is suspended 50cm from the end,…

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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: If a 6.0 x 10^3 mm elastic cable of density 1.1 x 10^3 kg/m^3 is dangling, how much does the length…

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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: If the new center of gravity of a 14m uniform steel rod with a mass m = 75kg is situated to the left…

A: Length of steel rod = 14 m mass of steel rod = 75 kg mass attached  = 50 kg

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: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

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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 lift of mass 1050 kg is suspended by a steel cable. The lift can move upwards at a maximum…

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Q: A cable is 10.0 m long and has a diameter of 2.00 mm. A force of 45.0 N is applied to the end of the…

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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 73 m length with a radius of 2.3 m of a cylinder supports a 9.5 x 10 5 kg mass which presses down…

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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 particular human hair has a Young's modulus of 3.65×109 N/m2 and a diameter of 155 μm. If a 259 g…

A: (a)Write the expression for young’s modulus of the material.

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 violin string has a radius of 4.1 x 10* m. During tuning, 32.5 cm of the string is placed under a…

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Q: A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

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Q: A wire stretches from 2000 mm to 2005 mm when a 500-N box hangs from one end of it. The wire has a…

A: Original length of wire (L) = 2000 mm = 2 m New length of wire (L') = 2005 mm= 2.005 m Force (F) =…

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 cylindrical specimen of a iron with a Young's modulus of 220 GPa has an original length of 220 mm…

A:

Q: Two plastic toys are hung from the ends of a uniform rod of mass 20.0 g and length 0.500 m to form a…

A: Mass of uniform rod (M) = 20 g Length of rod (L) = 0.50 m Mass of toy on left end (m) = 5 g mass of…

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…

A:

Q: A cable is 100 m long and has a cross sectional area of 1 mm^2. A 1000 N force is applied to stretch…

A: The expression for find stretched length of the cable is Y=FA∆LL0∆L=FL0YA

Q: 12 mm -75 mm-| |–12 mm 12 mm 75 mm 250 mm D H|-12 mm

A:

Q: A steel rod 55 cm long has a diameter of 30.0 cm.  The compressive strength (the maximum stress it…

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Q: A certain rod stretches 0.90 cm when outward forces with magnitude F are applied to each end. The…

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Q: A particular human hair has a Young's modulus of 3.63×109 N/m2 and a diameter of 145 μm. If a 228 g…

A: Write the expression for Young’s modulus, and solve for the change in length of the hair.

Q: Two plastic toys are hung from the ends of a uniform rod of mass 20.0 g and length 0.500 m to form a…

A:

Q: Young's modulus of iron rod is 21 × 1010 N/m². A force of 7.0 x 105 N is applied to a 1.5-m length…

A: Force applied, F = 7x105 N Length of iron rod, l = 1.5 m Cross sectional area of iron, a = 0.25 m2…

Q: The femur bone in a human leg has a minimum effective cross section of 3.15 cm2. How much…

A: The pressure presently working on an object can be defined as the physical force that is being…

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

A: Given, ,

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).