Mechanical Properties Of Solids CBSE Questions & Answers

A steel rod 2.0 m long has a cross-sectional area of 0.30 \({\rm{c}}{{\rm{m}}^{\rm{2}}}\) . It is hung by one end from a support, and a 550-kg milling machine is hung from its other end. Determine the resulting strain

A steel rod 2.0 m long has a cross-sectional area of 0.30 \({\rm{c}}{{\rm{m}}^{\rm{2}}}\). It is hung by one end from a support, and a 550-kg milling machine is hung from its other end. Determine the elongation. Take Young's modulus of steel as 20 \( \times \) \({\rm{1}}{0^{{\rm{1}}0}}\) Pa

A hydraulic press contains 0.25 \({{\rm{m}}^{\rm{3}}}\) (250 L) of oil. Find the decrease in the volume of the oil when it is subjected to a pressure increase \(\Delta {\rm{p}}\) = 1.6 \( \times \) \({\rm{1}}{0^{\rm{7}}}\) Pa(about 160 atm or 2300 psi). The bulk modulus of the oil is B = 5.0 \( \times \) \({\rm{1}}{0^{\rm{9}}}\) Pa

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Figure The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongation of the steel wire.

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Figure. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. compute the elongation of the brass wire.

The edge of an aluminum cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminum is 25 GPa. What is the vertical deflection of this face?

A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 400 N is applied to each end of the wire. What minimum diameter is required for the wire?

A metal rod that is 4.00 m long and 0.50 \({\rm{c}}{{\rm{m}}^{\rm{2}}}\) in cross-sectional area is found to stretch 0.20 cm under a tension of 5000 N. What is Young’s modulus for this metal?

In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 \( \times \) \({\rm{1}}{0^{ - {\rm{3}}}}\) \({\rm{c}}{{\rm{m}}^{\rm{2}}}\)in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the tensile strain.

In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 \( \times \) \({\rm{1}}{0^{ - {\rm{3}}}}\) \({\rm{c}}{{\rm{m}}^{\rm{2}}}\)in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.

A specimen of oil having an initial volume of 600 \({\rm{c}}{{\rm{m}}^{\rm{3}}}\)is subjected to a pressure increase of 3.6 \( \times \) \({\rm{1}}{0^{\rm{6}}}\)Pa and the volume is found to decrease by 0.45 \({\rm{c}}{{\rm{m}}^{\rm{3}}}\) what is the bulk modulus of the material?

A specimen of oil having an initial volume of 600 \({\rm{c}}{{\rm{m}}^{\rm{3}}}\) is subjected to a pressure increase of 3.6 \( \times \) \({\rm{1}}{0^{\rm{6}}}\) Pa and the volume is found to decrease by 0.45 cm3 what is the compressibility of the material?

A copper cube measures 6.00 cm on each side. The bottom face is held in place by very strong glue to a flat horizontal surface, while a horizontal force F is applied to the upper face parallel to one of the edges. How large must F be to cause the cube to deform by 0.250 mm? (shear modulus of copper = 4.4 \( \times \) \({\rm{1}}{0^{{\rm{1}}0}}\) Pa)

A lead cube measures 6.00 cm on each side. The bottom face is held in place by very strong glue to a flat horizontal surface, while a horizontal force F is applied to the upper face parallel to one of the edges. How large must F be to cause the cube to deform by 0.250 mm? (Shear modulus of lead = 0.6 \( \times \) \({\rm{1}}{0^{{\rm{1}}0}}\)Pa)

Four identical hollow cylindrical columns of mild steel support a big structure of mass 50,000 kg. The inner and outer radii of each column are 30 and 60 cm respectively. Assuming the load distribution to be uniform, calculate the compression strain of each column. . Take Young's modulus of steel as 20 \( \times \) \({\rm{1}}{0^{{\rm{1}}0}}\) Pa