Class XI

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 ×× 10101010Pa)
1. 1.6 mm
2. 1.4 mm
3. 2.0 mm
4. 1.8 mm
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
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 steel wire of length 4.7 m and cross-sectional area 3.0 ×× 10−510−5 m2m2 stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0 ×× 10−510−5 m2m2 under a given load. What is the ratio of the Young’s modulus of steel to that of copper?
1. 2.0
2. 1.6
3. 1.2
4. 1.8
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 cm2cm2. Calculate the elongation of the wire when the mass is at the highest point of its path.
1. 0.42 cm
2. 0.40 cm
3. 0.36 cm
4. 0.38 cm
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