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Physics of Solids, Numerical Problems

See here solved numerical problems included in the Physics of Solids for Second Year course.

Problem NoStatement of problem
Problem 1A 1.50 m length of a piano wire with a diameter of 0.25 cm is stretched by attaching a 10 kg mass to one end. How far is the wire stretched?
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Problem 2

A cable has a length of 12 m and is stretched by 1.2 × 10-4 m when a stress of 8.0 × 108 Nm-2 is applied. What is the strain energy per unit volume in the cable when the stress is applied?

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Problem 3A cylindrical steel rod 0.50 m long and 1 cm radius is subjected to a tensile force of 1 × 104 N.
(a) What is the tensile stress?
(b) What is tensile strain?
(c) By what amount does the rod stretch?

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Problem 4A cable has an un-stretched length of 12 m and it stretches by 1.2 × 10-4 m when a stress of 6.4 × 108 Nm-2 is applied. What is the strain energy per unit volume in the cable when this stress is applied?
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Problem 5Young’s modulus for a particular wood is 1 × 1010 Nm-2. A wooden chair has four legs each of length 42 cm and cross-sectional area 2 × 10-3 m2. Hamza has a mass of 100 kg.
(a) What is the stress on each leg of the chair when Hamza stands on the chair?
(b) By what amount do the chair legs shrinks when Hamza stands on the chair?

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Problem 6A force of 1.5 × 104 causes a strain of 1.4 × 10-4 in a steel cable of cross-sectional area 4.8 × 10-4 m2.
(a) What is the Young Modulus of the steel cable?
(b) The stress strain graph is linear for this cable. Calculate the strain energy per unit volume stored in the cable when the cable has a strain of 1 × 10-4.
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