Mechanical Properties Of Solids CBSE Questions & Answers

What diameter should a 10-m-long steel wire have if we do not want it to stretch more than 0.5 cm under a tension of 940 N? Take Young's modulus of steel as 20 \( \times \) \({\rm{1}}{0^{{\rm{1}}0}}\) Pa

A solid brass sphere is initially surrounded by air, and the air pressure exerted on it is 1.0 \( \times \) \({\rm{1}}{0^{\rm{5}}}\) N/ \({{\rm{m}}^{\rm{2}}}\) (normal atmospheric pressure). The sphere is lowered into the ocean to a depth at which the pressure is 2.0 \( \times \) \({\rm{1}}{0^{\rm{7}}}\) N/ \({{\rm{m}}^{\rm{2}}}\). The volume of the sphere in air is 0.50 m3. By how much does this volume change once the sphere is submerged? modulus of brass as 61 GPa

A 200-kg load is hung on a wire with a length of 4.00 m, a cross-sectional area of 0.200 \( \times \) \({\rm{1}}{0^{ - {\rm{4}}}}\) \({{\rm{m}}^{\rm{2}}}\), and a Young’s modulus of 8.00 \( \times \) \({\rm{1}}{0^{{\rm{1}}0}}\)N/ \({{\rm{m}}^{\rm{2}}}\). What is its increase in length?

A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each foot is 20.0 N. The footprint area of each shoe’s sole is 14.0 \({\rm{c}}{{\rm{m}}^{\rm{2}}}\), and the thickness of each sole is 5.00 mm. Find the horizontal distance by which the upper and lower surfaces of each sole are offset. The shear modulus of the rubber is 3.00 \( \times \) \({\rm{1}}{0^{\rm{6}}}\) N/ \({{\rm{m}}^{\rm{2}}}\).

If the elastic limit of copper is 1.50 \( \times \) \({\rm{1}}{0^{\rm{8}}}\) N/ \({{\rm{m}}^{\rm{2}}}\), determine the minimum diameter a copper wire can have under a load of 10.0 kg if its elastic limit is not to be exceeded.

If the shear stress exceeds about 4.00 \( \times \) \({\rm{1}}{0^{\rm{8}}}\) N/ \({{\rm{m}}^{\rm{2}}}\), steel ruptures. Determine the shearing force necessary to shear a steel bolt 1.00 cm in diameter

If the shear stress exceeds about 4.00 \( \times \) \({\rm{1}}{0^{\rm{8}}}\) N/ \({{\rm{m}}^{\rm{2}}}\), steel ruptures. Determine the shearing force necessary to punch a 1.00-cm-diameter hole in a steel plate 0.500 cm thick

When water freezes, it expands by about 9.00\(\% \). What would be the pressure increase inside your automobile’s engine block if the water in it froze? (The bulk modulus of ice is 2.00 \( \times \) \({\rm{1}}{0^{\rm{9}}}\) N/ \({{\rm{m}}^{\rm{2}}}\).)

In a materials testing laboratory, a metal wire made from a new alloy is found to break when a tensile force of 90.8 N is applied perpendicular to each end. If the diameter of the wire is 1.84 mm, what is the breaking stress of the alloy?

A steel cable with cross-sectional area 3.00 \({\rm{c}}{{\rm{m}}^{\rm{2}}}\) has an elastic limit of 2.40 \( \times \) \({\rm{1}}{0^{\rm{8}}}\) Pa. Find the maximum upward acceleration that can be given a 1200-kg elevator supported by the cable if the stress is not to exceed one-third of the elastic limit.

You hang a flood lamp from the end of a vertical steel wire. The flood lamp stretches the wire 0.18 mm and the stress is proportional to the strain. How much would it have stretched if the wire were twice as long?

You hang a flood lamp from the end of a vertical steel wire. The flood lamp stretches the wire 0.18 mm and the stress is proportional to the strain. How much would it have stretched if the wire had the same length but twice the diameter?

You hang a flood lamp from the end of a vertical steel wire. The flood lamp stretches the wire 0.18 mm and the stress is proportional to the strain. How much would it have stretched for a copper wire of the original length and diameter?

A 12.0-kg mass, fastened to the end of an aluminum wire with an un-stretched length of 0.50 m, is whirled in a vertical circle with a constant angular speed of 120 rev/min. The cross-sectional area of the wire is 0.014 \({\rm{c}}{{\rm{m}}^{\rm{2}}}\). Calculate the elongation of the wire when the mass is at the lowest point of the path

12.0-kg mass, fastened to the end of an aluminum wire with an un-stretched length of 0.50 m, is whirled in a vertical circle with a constant angular speed of 120 rev/min. The cross-sectional area of the wire is 0.014 \({\rm{c}}{{\rm{m}}^{\rm{2}}}\). Calculate the elongation of the wire when the mass is at the highest point of its path.