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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

Correct Answer :

B. Twice the area of the triangle


Related Questions

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Coplanar non-concurrent forces are those forces which __________ at one point, but their lines of action lie on the same plane.

A. Meet

B. Do not meet

C. Either A or B

D. None of these

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Two coplanar couples having equal and opposite moments

A. Balance each other

B. Produce a couple and an unbalanced force

C. Are equivalent

D. Cannot balance each other

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4

Non-coplanar non-concurrent forces are those forces which

A. Meet at one point, but their lines of action do not lie on the same plane

B. Do not meet at one point and their lines of action do not lie on the same plane

C. Do not meet at one point but their lines of action lie on the same plane

D. None of the above

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4

The coefficient of friction depends on

A. Area of contact

B. Shape of surfaces

C. Strength of surfaces

D. Nature of surface

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The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by

A. ω/r

B. ω.r

C. ω2/r

D. ω2.r

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4

The resultant of the two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then

A. P = Q

B. Q = R

C. Q = 2R

D. None of these

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4

Which of the following is not the unit of work, energy and heat?

A. kcal

B. kg-m

C. kW-hr

D. h.p

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Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity v is made to strike the second ball. Both the balls after impact will move with a velocity

A. v

B. v/2

C. v/4

D. v/8

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4

In a screw jack, the effort required to lower the load is __________ the effort required to raise the same load.

A. Less than

B. Equal to

C. More than

D. None of these

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A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is μ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

A. Remain horizontal

B. Slant up towards direction of pull

C. Slant down towards direction of pull

D. None of the above

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4

A body of weight W is required to move up on rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

A. P = W tanα

B. P = W tan (α + φ)

C. P = W (sinα + μcosα)

D. P = W (cosα + μsinα)

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4

Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is

A. db3/12

B. bd³/12

C. db³/36

D. bd³/36

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A machine having an efficiency less than 50%, is known as

A. Reversible machine

B. Non-reversible machine

C. Neither reversible nor non-reversible machine

D. Ideal machine

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If a number of forces are acting at a point, their resultant is given by

A. (ΣV)2 + (ΣH)2

B. √[(ΣV)2 + (ΣH)2]

C. (ΣV)2 +(ΣH)2 +2(ΣV)(ΣH)

D. √[(ΣV)2 +(ΣH)2 +2(ΣV)(ΣH)]

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The point, through which the whole weight of the body acts, irrespective of its position, is known as

A. Moment of inertia

B. Centre of gravity

C. Centre of percussion

D. Centre of mass

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The ratio of limiting friction and normal reaction is known as

A. Coefficient of friction

B. Angle of friction

C. Angle of repose

D. Sliding friction

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The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body, m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)

A. [m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²

B. [2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²

C. [m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)

D. [2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)

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When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.

A. Directly proportional

B. Inversely proportional

C. Cube root

D. None of these

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A circular hole of 50 mm diameter is cut out from a circular disc of 100 mm diameter as shown in the below figure. The centre of gravity of the section will lie

A. In the shaded area

B. In the hole

C. At O

D. None of these

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When a body falls freely under gravitational force, it possesses __________ weight.

A. No

B. Minimum

C. Maximum

D. None of these

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The centre of percussion of a solid cylinder of radius r resting on a horizontal plane will be

A. r/2

B. 2r/3

C. r/A

D. 3r/2

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Forces are called concurrent when their lines of action meet in

A. One point

B. Two points

C. Plane

D. Perpendicular planes

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The length of a second's pendulum is

A. 94.9 cm

B. 99.4 cm

C. 100 cm

D. 101 cm

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If a number of forces are acting at a point, their resultant will be inclined at an angle θ with the horizontal, such that

A. tanθ = ΣH/ΣV

B. tanθ = ΣV/ΣH

C. tanθ = ΣV × ΣH

D. tanθ = √(ΣV + ΣH)

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The range of a projectile is maximum, when the angle of projection is

A. 30°

B. 45°

C. 60°

D. 90°

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The overturning of a vehicle on a level circular path can be avoided if the velocity of vehicle is __________ √(gra/h)

A. Less than

B. Greater than

C. Equal to

D. None of these

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4

In the lever of third order, load W, effort P and fulcrum F are oriented as follows

A. W between P and F

B. F between W and P

C. P between W and F

D. W, P and F all on one side

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In a framed structure, as shown in the below figure, the forces in the members AB and BC are respectively

A. √3. W (tensile) and 2W (compressive)

B. 2W (tensile) and √3. W (compressive)

C. 2√3. W (tensile) and 2√3. W (compressive)

D. None of the above

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4

Which of the following are vector quantities?

A. Angular displacement

B. Angular velocity

C. Angular acceleration

D. All of these

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The necessary condition for forces to be in equilibrium is that these should be

A. Coplanar

B. Meet at one point

C. Both (A) and (B) above

D. All be equal