Class XI

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?
  1. 1.5 mm
  2. 12.4 mm
  3. 10 mm
  4. 1.4 mm
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?
  1. 3.41 ×× 107107 Pa
  2. 3.61 ×× 107107 Pa
  3. 3.31 ×× 107107 Pa
  4. 3.51 ×× 107107 Pa
A steel rod 2.0 m long has a cross-sectional area of 0.30 cm2cm2 . 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
  1. 10.0 ×× 10−4
  2. 9.0 ×× 10−4
  3. 8.0 ×× 10−4
  4. 7.0 ×× 10−4
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
If the shear stress exceeds about 4.00 ×× 108108 N/ m2m2, steel ruptures. Determine the shearing force necessary to shear a steel bolt 1.00 cm in diameter
  1. 3.44 ×× 104104 N
  2. 3.24 ×× 104104 N
  3. 3.34 ×× 104104 N
  4. 3.14 ×× 104104 N
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