Compressive and tensile forces - class-XII
compressive and tensile forces
Questions
Assertion (A): Steel is more elastic than rubber.
Reason (R) : Under a given deforming force, steel is deformed less than rubber.
A) Both Assertion and Reason are true and the reason is correct explanation of the assertion
B)Both Assertion and Reason are true, but reason is not correct explanation of the assertion
C) Assertion is true, but the reason is false
D) Assertion is false, but the reason is true
- A
- B
- C
- D
Change in the shape of a body caused by the application of a force (stress) is called as :
- ductility
- deformation
- hardness
- rigidity
Change in shape of a body caused by the application of stress is called:
- rigidity
- elasticity
- sheer
- deformation
State whether true or false :
While loading the crane with heavy bodies, it is given rest from time to time.
- True
- False
State whether true or false :
The property of an elastic body by virtue of which its behaviour becomes less elastic under the action of repeated alternating deforming force is called elastic fatigue
- True
- False
If stress-strain relation for volumetric change is in the form $\cfrac { \Delta V }{ { V } _{ 0 } } =KP$ where $P$ is applied uniform pressure, then $K$ stands for
- shear modulus
- compressibility
- Young's modulus
- bulk modulus
Time dependent permanent deformation is called
- Plastic deformation
- Elastic deformation
- Creep
- Anelastic deformation
One end of a uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 is suspended from its lower end. of S is true area of cross section of the wire, the stress in the wire at a height (3L/4) from its lower end is:
- [W1 + (W/4)]/S
- W1/S
- [W1 + (3W/4)]/S
- (W1 + W)/S
When a steel rod of length 2m is compressed its length decreases by 0.1m. Find the work done against the compressive stress.$\left( { Y } _{ steel }=2.0\times { 10 }^{ 11 }{ Nm }^{ -2 } \right) $
- $2.5\times { 10 }^{ 11 } J $
- $1.25\times { 10 }^{ 11 } J $
- $5.0\times { 10 }^{ 11 } J $
- $7.5\times { 10 }^{ 4 } J $
Four wires of the same material are stretched by the same load. The dimension are given below.Which of them will elongate the most?
- ${\text{Length}}\;100{\text{cm}},{\text{diameter}}\;1{\text{mm}}$
- ${\text{Length}}\;200{\text{cm}},{\text{diameter}}\;2{\text{mm}}$
- ${\text{Length}}\;300{\text{cm}},{\text{diameter}}\;3{\text{mm}}$
- ${\text{Length}}\;400{\text{cm}},{\text{diameter}}\;0.5{\text{mm}}$
Four identical hollow cylindrical columns of steel support a big structure of mass $50,000$ kg. The inner and outer radii of each column are $30$cm and $40$cm respectively.Assuming the load distribution to be uniform. Calculate the compressional strains of each column, the young's modulus of steel is $2 \times {10^{11}}Pa$
- $2.78 \times {10^{ - 6}}$
- $3.78 \times {10^{ - 6}}$
- $2.78 \times {10^{ - 4}}$
- $3.78 \times {10^{ - 4}}$
An elastic metal rod will change its length when it
- falls vertically under its weight
- is pulled along its length by a force acting at one end
- rotates about an axis at one end
- slides on a rough surface
Length of a wire is increased by 1 mm on the application of a given load. If same load is applied to another wire of same material but of length and radius twice that of the first then increase in its length will be
- $2 mm$
- $\dfrac{1}{2} mm$
- $4 mm$
- $\dfrac{1}{4} mm$
The maximum stress developed in the rod is equal to $(N/m^{2})$.
- $5\times 10^{7}$
- $5\times 10^{8}$
- $4\times 10^{7}$
- $4\times 10^{8}$
Which of the following is/are true about deformation of a material?
- Deformation capacity of the plastic hinge and resilience of the connections are essential for good plastic behavior
- Deformation capacity equations considering yield stress and gradient of moment
- Different materials have different deformation capacity
- All of the above