Mechanical Properties of Solids - Online Test
Q1. 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 Pa)
Answer : Option A
Explaination / Solution:
No Explaination.
Q2. 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 Pa)
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. 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 Pa
Answer : Option C
Explaination / Solution:
No Explaination.
Q4. A piece of copper having a rectangular cross-section of 15.2 mm 19.1 mm is pulled in tension with 44,500 N force, producing only elastic deformation. Calculate the resulting strain? Take Young's modulus of copper as 11 Pa
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. A steel cable with a radius of 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed N , what is the maximum load the cable can support?
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. A rigid bar of mass 15 kg is supported symmetrically by three wires each 2.0 m long. Those at each end are of copper and the middle one is of iron. Determine the ratios of their diameters if each is to have the same tension.
Answer : Option C
Explaination / Solution:
No Explaination.
Q7.
A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle. The cross-sectional area of the wire is 0.065 . Calculate the elongation of the wire when the mass is at the lowest point of its path.
Answer : Option D
Explaination / Solution:
No Explaination.
Q8.
Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure increase = 100.0 atm (1 atm = 1.013 Pa), Final volume = 100.5 litre
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. What is the density of water at a depth where pressure is 80.0 atm, given that its density at the surface is 1.03 kg ?
Answer : Option A
Explaination / Solution:
No Explaination.
Q10.
Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm. Bulk modulus of glass 37 GPa.
Answer : Option B
Explaination / Solution:
No Explaination.
