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4

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

Correct Answer :

C. One force and one couple only


Related Questions

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4

Select the correct statement

A. The body centrode rolls on the space centrode

B. The space centrode rolls on the body centrode

C. Both body and space centrodes may role on each other

D. The body centrode never touches space centrode

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4

A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is

A. 1/4

B. 2/3

C. 3/4

D. 4/3

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4

The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2- 10 where S is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

A. ½ sec

B. 1 sec

C. 1.2 sec

D. 1.5 sec

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4

The C.G. of the shaded area of the below figure from the x-axis is

A. a/4

B. 3a/4

C. 3b/10

D. 3a/10

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4

A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was

A. 0.5 m/sec2

B. 0.7 m/sec2

C. 1 m/sec2

D. 1 cm/sec2

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4

Williot-Mohr diagram is used to determine deflection in

A. Trusses only

B. Beam only

C. Rigid frames only

D. Any type of structure

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4

The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be

A. 2

B. 3

C. 4

D. 5

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4

The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

A. 8.04 km/sec at a height of 285 km

B. 11.11 km/sec at a height of 37,400 km

C. 11.26 km/sec, the satellite escapes the pull of the earth

D. All the above

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4

If l is the span of a light suspension bridge whos each cable carries total weight (w) and the central dip is y, the horizontal pull at each support, is

A. wl/4y

B. wl/8y

C. wl/2y

D. wl

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4

Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:

A. 50 kg

B. 75 kg

C. 25 kg

D. 60 kg

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4

If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be

A. 20 rad/sec

B. 15 rad/sec

C. 10 rad/sec

D. 5 rad/sec

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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

The Law of Polygon of Forces states that

A. If a polygon representing the forces acting at point in a body is closed, the forces are in equilibrium

B. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon

C. If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order

D. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium

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4

A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

A. 400 watts

B. 500 watts

C. 4000 watts

D. None of these

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4

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

A. At the centre of gravity of the body

B. On the periphery of the body

C. On any point on the line of action of the force

D. At any point on the surface normal to the line of action of the force

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4

The maximum displacement of a particle executing S.H.M. corresponds to

A. Zero potential energy and maximum kinetic energy

B. Zero kinetic energy and maximum potential energy

C. Maximum kinetic energy and maximum potential energy

D. Minimum kinetic energy and minimum potential energy

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4

The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

A. To be zero

B. To be maximum

C. To be minimum

D. None of these

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4

Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is

A. 350 m

B. 375 m

C. 400 m

D. 425 m

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4

The following statement is one of the laws of Dynamic friction

A. The force of friction always acts in a direction opposite to that in which a body is moving

B. The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction

C. For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed

D. All the above

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4

The shape of a suspended cable for a uniformly distributed load over it is

A. Circular

B. Parabolic

C. Catenary

D. Cubic parabola

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4

The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

A. (h/3) × [(b + 2a)/(b + a)]

B. (h/3) × [(2b + a)/(b + a)]

C. (h/2) × [(b + 2a)/(b + a)]

D. (h/2) × [(2b + a)/(b + a)]

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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

For perfectly elastic bodies, the value of coefficient of restitution is

A. Zero

B. 0.5

C. 1.0

D. Between 0 and 1

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4

A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be

A. 3t3 - 2t

B. 3t2 + 2t

C. 6t - 2

D. 6t + 2

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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 geo-stationary satellite is one which orbits the earth with a velocity of rotation of

A. Moon

B. Earth

C. Sun

D. Pole

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4

Joule is the unit of

A. Work

B. Force

C. Power

D. Torque

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4

A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is

A. 40 kg

B. 60 kg

C. 10 kg

D. 100 kg

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4

The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called

A. Angle of repose

B. Angle of friction

C. Angle of inclination

D. None of these

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4

Ball A of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball B on the table. If the impact is perfectly elastic, 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