A thick rope of density ρ and length L is hung from a rigid support. The increase in length of the rope due to its own weight is (Y is the Young’s modulus)
Sahay Sir > Question Answers > A thick rope of density ρ and length L is hung from a rigid support. The increase in length of the rope due to its own weight is (Y is the Young's modulus)
A light rod of length 2 m is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross section 0.1 cm^2. The other wire is a brass of cross section 0.2 cm^2. A weight is suspended from a certain point of the rod such that equal stress are produced in both the wires. Which of the following are correct?
10
Oct
A light rod of length 2 m is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross section 0.1 cm^2. The other wire is a brass of cross section 0.2 cm^2. A weight is [...]
A uniform elastic rod of cross section area A natural length L and Young’s modulus Y is placed on a smooth horizontal surface. Now two horizontal forces (of magnitude F and 3F) directed along the length of rod and in opposite direction act at two of its ends as shown . After the rod has acquired steady state, the extension of the rod will be
10
Oct
A uniform elastic rod of cross section area A natural length L and Young’s modulus Y is placed on a smooth horizontal surface. Now two horizontal forces (of magnitude F and 3F) directed along the length of rod and in opposite direction act at two of its ends as shown . After the rod has [...]
A rubber of volume 2000 cc is alternately subjected to tension and released. The figure shown the stress-strain curve of rubber. Each curve is a quadrant of an ellipse. The amount of energy lost as heat per cycle per unit volume will be
10
Oct
A rubber of volume 2000 cc is alternately subjected to tension and released. The figure shown the stress-strain curve of rubber. Each curve is a quadrant of an ellipse. The amount of energy lost as heat per cycle per unit volume will be A thick rope of density ρ and length L is hung from [...]
A solid sphere of radius R made of a material of bulk modulus K is surrounded by a liquid in cylindrical container. A massless piston of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere, is
10
Oct
A solid sphere of radius R made of a material of bulk modulus K is surrounded by a liquid in cylindrical container. A massless piston of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of [...]
The edges of an aluminum cube are 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100kg is then attached to the opposite face of the cube. Shear modulus of aluminum is 25 × 10^9 Pa, the vertical deflection in the face to which mass is attached is
10
Oct
The edges of an aluminum cube are 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100kg is then attached to the opposite face of the cube. Shear modulus of aluminum is 25 × 10^9 Pa, the vertical deflection in the face to which mass is [...]
A steel wire of length 4.7 m and cross-sectional area 3 × 10^−6 m^2 stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4 × 10^−6 m^2 under a given load. The ratio of Young’s modulus of steel to that of copper is
10
Oct
A steel wire of length 4.7 m and cross-sectional area 3 × 10^−6 m^2 stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4 × 10^−6 m^2 under a given load. The ratio of Young’s modulus of steel to that of copper is A thick rope of [...]
The elastic limit of an elevator cable is 2 × 10^9 N/m^2. The maximum upward acceleration that an elevator of amss 2×103kg can have been supported by a cable would not exceed half of the elastic limit would be
10
Oct
The elastic limit of an elevator cable is 2 × 10^9 N/m^2. The maximum upward acceleration that an elevator of amss 2×103kg can have been supported by a cable would not exceed half of the elastic limit would be A thick rope of density ρ and length L is hung from a rigid support. The [...]
A 5 kg rod of square cross section 5 cm on a side and 1 m long is pulled along a smooth horizontal surface by a force applied at one end. The rod has a constant acceleration of 2 m/s^2. Determine the elongation in the rod. (Young’s modulus of the material of the rod is 5 × 10^3 N/m^9).
10
Oct
A 5 kg rod of square cross section 5 cm on a side and 1 m long is pulled along a smooth horizontal surface by a force applied at one end. The rod has a constant acceleration of 2 m/s^2. Determine the elongation in the rod. (Young’s modulus of the material of the rod is [...]
A thick rope of density ρ and length L is hung from a rigid support. The increase in length of the rope due to its own weight is (Y is the Young’s modulus)
10
Oct
A thick rope of density ρ and length L is hung from a rigid support. The increase in length of the rope due to its own weight is (Y is the Young’s modulus) A thick rope of density ρ and length L is hung from a rigid support. The increase in length of the rope [...]