Class XI

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 ×× 10−310−3 cm2cm2in 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.
  1. 3.1 ×× 10−310−3 upper, 2.0 ×× 10−310−3 lower
  2. 3.4 ×× 10−310−3 upper, 2.5 ×× 10−310−3 lower
  3. 3.3 ×× 10−310−3 upper, 2.4 ×× 10−310−3 lower
  4. 3.2 ×× 10−310−3 upper, 2.3 ×× 10−310−3 lower
volume strain is defined
  1. as the change in volume ΔΔV
  2. as the ratio of change in volume (ΔΔV) to thrice the original volume V
  3. as the ratio of change in volume (ΔΔV) to the original volume V
  4. as the ratio of change in volume (ΔΔV) to twice the original volume V
For a rope of yield strength SySy loaded in tension with weight Mg the minimum area A of the rope should be
  1. A ≥≥ Mg/ Sy
  2. A ≥≥ Mg Sy
  3. A ≥≥ Mg/2 Sy
  4. A ≥≥ Mg/3 Sy
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?
  1. 6 ×× 10−610−6 m
  2. 8 ×× 10−610−6 m
  3. 4 ×× 10−610−6 m
  4. 2 ×× 10−610−6 m
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?
  1. 0.055 mm
  2. 0.045 mm
  3. 0.075 mm
  4. 0.065 mm
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