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4

When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as

A. Imaginary work

B. Negative work

C. Virtual work

D. None of these

Correct Answer :

C. Virtual work


Related Questions

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4

If three rigid rods are hinged together to form a triangle and are given rotary as well as translatory motion, the number of instantaneous centres of the triangle, will be

A. 1

B. 2

C. 3

D. 4

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4

A point subjected to a number of forces will be in equilibrium, if

A. Sum of resolved parts in any two directions at right angles, are both zero

B. Algebraic sum of the forces is zero

C. Two resolved parts in any two directions at right angles are equal

D. Algebraic sum of the moments of the forces about the point is zero

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4

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

A. Algebraic sum of the resolved parts of the forces in the direction

B. Arithmetical sum of the resolved parts of the forces in the direction

C. Difference of the forces multiplied by cosine θ°

D. Sum of the forces multiplied by the tangent θ°

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4

A Seconds pendulum executes

A. 0.5 beat per second

B. 1.0 beat per second

C. 2.0 beats per second

D. 2.5 beats per second

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4

If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then? (i) A force is required to move the body upwards (ii) A force is required to move the body downward (iii) The body will not be in equilibrium The correct answer is

A. Only (i)

B. Only (ii)

C. Both (i) and (ii)

D. Both (i) and (iii)

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4

If α and u are angle of projection and initial velocity of a projectile respectively, the total time of flight, is given by

A. T = u sin 2α/g

B. T = u sin²α/g

C. T = u sin²α/2g

D. T = 2u sinα/g

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4

If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

A. 2π √(α/θ)

B. (1/2π) √(α/θ)

C. 4π √(α/θ)

D. 2π √(α - θ)

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4

The following is in unstable equilibrium

A. A uniform solid cone resting on a generator on a smooth horizontal plane

B. A uniform solid cone resting on its base on a horizontal plane

C. A solid cube resting on one edge

D. A satellite encircling the earth

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4

The reaction at the support B of the beam shown in below figure is

A. 1.6 t

B. 9.6 t

C. 8.5 t

D. 0.5 t

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4

In simple harmonic motion, acceleration of a particle is proportional to

A. Rate of change of velocity

B. Displacement

C. Velocity

D. Direction

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4

The shape of a suspended cable under its own weight, is

A. Parabolic

B. Circular

C. Catenary

D. Elliptical

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4

It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to

A. f

B. 1/f

C. 1/f²

D.

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4

A smooth cylinder lying on its convex surface remains

A. In stable equilibrium

B. In unstable equilibrium

C. In neutral equilibrium

D. Out of equilibrium

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4

For a body moving with simple harmonic motion, the number of cycles per second, is known as its

A. Oscillation

B. Amplitude

C. Periodic time

D. Frequency

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4

A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

A. 0.5 m/sec

B. 1.5 m/sec

C. 2.5 m/sec

D. 3.5 m/sec

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4

A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

A. 1/4

B. 1/3

C. 3

D. 4

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4

The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

A. 2 kgf, 3 kgf

B. 3 kgf, 4 kgf

C. 4 kgf, 5 kgf

D. 5 kgf, 3 kgf

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4

Free body diagram is an

A. Isolated joint with only body forces acting on it

B. Isolated joint with internal forces acting on it

C. Isolated joint with all the forces, internal as well as external, acting on it

D. None of the above

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4

The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is

A. 229.34 cm4

B. 329.34 cm4

C. 429.34 cm4

D. 529.34 cm4

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4

Total no of instantaneous centres of a machine having n links, is

A. n/2

B. n

C. (n - 1)

D. n (n - 1)/2

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4

When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as

A. Imaginary work

B. Negative work

C. Virtual work

D. None of these

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4

If α and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is

A. u² sin α/g

B. u² sin² α/g

C. u² sin α/2g

D. u² sin² α/2g

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4

A heavy ladder resting on floor and against a vertical wall may not be in equilibrium if

A. Floor is smooth and wall is rough

B. Floor is rough and wall is smooth

C. Both floor and wall are rough

D. Both floor and wall are smooth

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4

If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line The correct answer is

A. (i) and (ii)

B. (i) and (iii)

C. Only (i)

D. All (i), (ii) and (iii)

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4

The point about which combined motion of rotation and translation of a rigid body takes place, is known as

A. Virtual centre

B. Instantaneous centre

C. Instantaneous axis

D. Point of rotation

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4

When a body moves round a fixed axis, it has

A. A rotary motion

B. A circular motion

C. A translatory

D. A rotary motion and translatory motion

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4

If v and ω are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius r, will be

A. r/v²

B. v²/r

C. r/ω²

D. ω²/r

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4

If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by

A. g1

B. g2

C. g1/g2

D. g2/g1

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4

The acceleration of a train starting from rest at any instant is 1/6(V + 1) m/sec² where V is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of

A. 2000 m

B. 2100 m

C. 2200 m

D. 2300 m

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4

A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

A. 20 m/sec

B. 30 m/sec

C. 40 m/sec

D. 50 m/sec