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4

The condition of equilibrium for any system of forces in a plane is

A. That polygon of forces must close

B. That resultant couple must be zero

C. Both (A) and (B)

D. None of the above

Correct Answer :

C. Both (A) and (B)


Related Questions

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4

A satellite moves in its orbit around the earth due to

A. Gravitational force

B. Centripetal force

C. Centrifugal force

D. None of these

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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

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

A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is

A. 6 m/sec

B. 12 m/sec

C. 24 m/sec

D. 48 m/sec

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4

A cube on a smooth horizontal surface

A. Cannot be in stable equilibrium

B. Cannot be in neutral equilibrium

C. Cannot be in unstable equilibrium

D. Can be in any of these states

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4

Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

A. 20 kg

B. 25 kg

C. 30 kg

D. 35 kg

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4

The C.G. of a thin hollow cone of height h, above its base lies on the axis, at a height of

A. h/3

B. h/4

C. 2h/3

D. 3h/4

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4

For a non-concurrent force system to be in equilibrium

A. Only the closure of force polygon is sufficient

B. Only the closure of funicular polygon is sufficient

C. Both force polygon and funicular polygon must close

D. None of the above

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4

A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

A. The extreme point of the oscillation

B. Through the mean position

C. Through a point at half amplitude

D. None of these

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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

Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

A. One-half of the total height above base

B. One-third of the total height above base

C. One-fourth of the total height above base

D. None of these

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4

The member which does not carry zero force in the structure shown in below figure, is

A. ED

B. DC

C. BC

D. BD

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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 centre of gravity of a plane lamina will not be at its geometrical centre if it is a

A. Circle

B. Equilateral triangle

C. Rectangle

D. Right angled triangle

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4

Power developed by a torque, is

A. 2πNT kg m/min

B. 2πNT/4500 h.p

C. 2πNT /60 watts

D. All the above

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4

If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

A. Be in equilibrium

B. Always reduce to a resultant force

C. Always reduce to a couple

D. Both (A) and (C)

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4

A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kgm² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

A. 50 J

B. 150 J

C. 200 J

D. 400 J

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4

Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are

A. 2 m/sec and 2 m/sec

B. 3 m/sec and 2 m/sec

C. 3 m/sec and 3 m/sec

D. 4 m/sec and 6 m/sec

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4

Rate of change of angular momentum is equal to

A. Force

B. Torque

C. Linear momentum

D. Impulse

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4

According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on

A. A point

B. A straight line

C. Two straight lines

D. A triangle

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4

A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball B on the table. If the impact is perfectly plastic, the velocity of the ball B just after impact would be

A. Zero

B. 5 m/sec

C. 10 m/sec

D. None of these

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4

The product of mass and velocity of a moving a body, is called

A. Moment

B. Momentum

C. Power

D. Impulse

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4

On a mass m describing a circular path of radius r, the centrifugal force

A. Acts tangentially to the circular path

B. Acts towards the centre of rotation

C. Acts away from the centre of rotation

D. Is mw2r/g kgf

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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

An ordinate in a funicular polygon represents

A. Shear force

B. Resultant force

C. Bending moment

D. Equilibrium

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4

If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

A. u² cos² α/2g

B. u² sin² α/2g

C. u² tan² α/2g

D. u² sin 2α/2g

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4

The reaction at the central support B of the beam ABC hinged at D shown in below figure is

A. 2 t

B. 5.8 t

C. 0.2 t

D. 3.5 t

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4

A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

A. Parabola

B. Catenary

C. Cycloid

D. Ellipse

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4

Angular acceleration of a particle may be expressed as

A. Radians/sec2

B. Degrees/sec2

C. Revolutions/sec

D. All the above