The force acting on a point on the surface of a rigid body may be considered to act

The change in length due to a tensile or compressive force acting on a body is given by (where P = Tensile or compressive force acting on the body, $$l$$ = Original length of the body, A = Cross-sectional area of the body and E = Young's modulus for the material of the body)

A

$$\frac{{{\text{P}}l{\text{A}}}}{{\text{E}}}$$

B

$$\frac{{{\text{P}}l}}{{{\text{AE}}}}$$

C

$$\frac{{\text{E}}}{{{\text{P}}l{\text{A}}}}$$

D

$$\frac{{{\text{AE}}}}{{{\text{P}}l}}$$

A single force and a couple acting in the same plane upon a rigid body

A

Balance each other

B

Cannot balance each other

C

Produce moment of a couple

D

Are equivalent

The instantaneous center of a rigid thin disc rolling on a plane rigid surface is located at

A

the centre of the disc

B

the point of contact

C

an infinite distance on the plane surface

D

the point on the circumference situated vertically opposite to the contact point

If a given force (or a given system of forces) acting on a body __________ the position of the body, but keeps it in equilibrium, then its effect is to produce internal stress in the body.

A

Change

B

Does not change

C

Changes periodically

D

None of these

If ‘P’ is the force acting on the body, ‘m’ is the mass of the body and ‘a’ is the acceleration of the body, then according to Newton's second law of motion,

A

P + ma = 0

B

P - ma = 0

C

P × ma = 0

D

$$\frac{{\text{P}}}{{{\text{ma}}}} = 0$$

Point A is 10 miles West of Point B. Point b is 30 miles North of pint C. Point C is 20 miles East of Point D. What is the distance (in miles) between Point A and Point D?

A

1010

B

1020

C

2010

D

3010

Point A is 10 km west of point B. Point B is 30 km north of point C. Point C is 20 km east of point D. What is the distance between point A and D?

A

1020Km

B

1010Km

C

2010Km

D

3010Km

Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to

A

Area of the triangle

B

Twice the area of the triangle

C

Half the area of the triangle

D

None of these

If three forces acting in one plane upon a rigid body, keep it in equilibrium, then they must either

A

Meet in a point

B

Be all parallel

C

At least two of them must meet

D

All the above are correct

A system of coplanar forces acting on a rigid body can be reduced to

A

One force only

B

One couple only

C

One force and one couple only

D

None of the above

The force acting on a point on the surface of a rigid body may be considered to act

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