A materials\' resistance to deformation is what property? a. Yield strength b. M

Question

A materials' resistance to deformation is what property? a. Yield strength b. Modulus of elasticity c. Ultimate strength d. Strain 3. If a load acts through a body's center of moments, then the body: 4. i. Has no tendency to rotate Tends to translate in the direction of the applied force Develops no stress Tends to spin about its axis of rotation ii. iii. iv. a. All of the above b. iv c. ii and ii d. i and ii Forces are vectors, and therefore they can be added only: a. Vectorially b. Algebraically c. Both vectorially and algebraically d. All of the above are false 5.

Explanation / Answer

3. Answer : modulus of elasticity

Reason:

Option a: Yield strenghth is stress at which plastic deformation starts, but before that elastic deformation takes place and it does not explains resistance to deformation

Option b: Modulus of elasticity: It is ratio of stress to strain which explains material resistance to deformation because if modulus of elasticity is high means stress is high and strain is less(E= stress/strain) and material has high resistance to deformation and vice versa

Option c: Ultimate stress : stress at which material fails and it also does not explain resistance to deformation.

Option d: Strain: Change in length to orginal length, and it is not a property of material.

Hence correct answer is modulus of elasticity

4. Answer: Option c

Reason: Center of moment is a point about which force causes rotation, if force acts at that point then it will not cause rotation and it can cause only transalation motion .

If force is applied on a body definitely stress will develop in body as stress is measure of internal forces acting on deformable body

5. Answer: Option a

Reason: Force are vector quatities and are to be added only vectorially

For example: let consider a cube on which forces F are acting on opposite faces in opposite direction, then the net force on body is zero, if we add algebrically it will be 2F which is wrong hence vector quantites are to be added only vectorially

6) Answer b

Reason: Hookes law states that within the elastic limit stress is directly proportional to strain, Hookes law is valid only in elastic region which is not mentioned by option a,c and d

7) Answer a

Reason: Stress = Force/ area

Therfore Area = Force/ stress

A= 40/12

area = 3.333 sq.in

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