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4

If a rigid body is in equilibrium under the action of three forces, then

A. These forces are equal

B. The lines of action of these forces meet in a point

C. The lines of action of these forces are parallel

D. Both (B) and (C) above

Correct Answer :

D. Both (B) and (C) above


Related Questions

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4

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base.

A. Nine times

B. Six times

C. Four times

D. Two times

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4

If the masses of both the bodies, as shown in the below figure, are doubled, then the acceleration in the string will be

A. Same

B. Half

C. Double

D. None of these

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4

A framed structure, as shown in the below figure, is a

A. Perfect frame

B. Deficient frame

C. Redundant frame

D. None of the above

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4

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

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4

If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

Concurrent forces are those forces whose lines of action

A. Lie on the same line

B. Meet at one point

C. Meet on the same plane

D. None of these

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4

The resolved part of the resultant of two forces inclined at an angle θ in a given direction is equal to

A. The algebraic sum of the resolved parts of the forces in the given direction

B. The sum of the resolved parts of the forces in the given direction

C. The difference of the forces multiplied by the cosine of θ

D. The sum of the forces multiplied by the sine of θ

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4

The possible loading in various members of framed structures are

A. Compression or tension

B. Buckling or shear

C. Shear or tension

D. All of the above

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4

The maximum height of a projectile on a horizontal plane, is

A. u² sin²α/2g

B. u² cos²α/2g

C. u² sin²α/g

D. u² cos²α/g

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4

A screw jack used for lifting the loads is

A. A reversible machine

B. A non-reversible machine

C. An ideal machine

D. None of these

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4

A body of mass m moving with a constant velocity v strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is

A. v

B. 2v

C. 4v

D. 8v

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4

During elastic impact, the relative velocity of the two bodies after impact is __________ the relative velocity of the two bodies before impact.

A. Equal to

B. Equal and opposite to

C. Less than

D. Greater than

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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

In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is

A. 50

B. 100

C. 200

D. 400

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4

A block of mass m1, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m2, which moves vertically downwards as shown in the below figure. The tension in the string is

A. m1/m2

B. m1. g. sin α

C. m1.m2/m1 + m2

D. m1. m2.g (1 + sin α)/(m1 + m2)

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4

The velocity ratio of a differential pulley block with D and d as the diameters of larger and smaller pulley, is

A. D/(D - d)

B. D/(D + d)

C. 2D/(D - d)

D. 2D/(D + d)

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4

The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is

A. a = α/ r

B. a = α.r

C. a = r / α

D. None of these

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4

The force applied on a body of mass 100 kg to produce an acceleration of 5 m/s2, is

A. 20 N

B. 100 N

C. 500 N

D. None of these

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4

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

The efficiency of a lifting machine is the ratio of

A. Output to the input

B. Work done by the machine to the work done on the machine

C. Mechanical advantage to the velocity ratio

D. All of the above

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4

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

The centre of gravity of a trapezium with parallel sides a and b lies at a distance of y from the base b, as shown in the below figure. The value of y is

A. h [(2a + b)/(a + b)]

B. (h/2) [(2a + b)/(a + b)]

C. (h/3) [(2a + b)/(a + b)]

D. (h/3) [(a + b)/(2a + b)]

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4

Which of the following statement is incorrect?

A. A force acting in the opposite direction to the motion of the body is called force of friction

B. The ratio of the limiting friction to the normal reaction is called coefficient of friction

C. A machine whose efficiency is 100% is known as an ideal machine

D. The velocity ratio of a machine is the ratio of load lifted to the effort applied

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4

The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where r = Amplitude of motion, and y = Displacement of the particle from mean position.)

A. ω.√(y² - r²)

B. ω.√(r² - y²)

C. ω².√(y² - r²)

D. ω².√(r² - y²)

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4

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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4

The forces which meet at one point, but their lines of action __________ on the same plane, are Known as non-coplanar concurrent forces.

A. Lie

B. Do not lie

C. Either A or B

D. None of these

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4

If a suspended body is struck at the centre of percussion, then the pressure on die axis passing through the point of suspension will be

A. Maximum

B. Minimum

C. Zero

D. Infinity

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4

Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

A. Their algebraic sum is zero

B. Their lines of action are at equal distances

C. The algebraic sum of their moments about any point in their plane is zero

D. The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.

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4

The moment of inertia of a solid sphere of mass m and radius r is

A. 2mr2/3

B. 2mr2/5

C. mr2

D. mr2/2

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4

The maximum mechanical advantage of a lifting machine is

A. 1 + m

B. 1 - m

C. 1 / m

D. m