### Class XI

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
Shear modulus or modulus of rigidity is
1. the ratio of longitudinal stress to the corresponding shearing strain
2. the ratio of shearing stress to the corresponding lateral strain
3. the ratio of shearing strain to the corresponding shearing stress
4. the ratio of shearing stress to the corresponding shearing strain
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 cm2cm2, 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 ×× 106106 N/ m2m2.
1. 2.48 mm
2. 2.58 mm
3. 2.68 mm
4. 2.38 mm
1. tension
2. compression
3. hydraulic stress
4. shear
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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