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4

Which of the following statement is correct?

A. The algebraic sum of the forces, constituting the couple is zero

B. The algebraic sum of the forces, constituting the couple, about any point is the same

C. A couple cannot be balanced by a single force but can be balanced only by a couple of opposite sense

D. All of the above

Correct Answer :

D. All of the above


Related Questions

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4

The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be

A. 20 kg, -ve sense

B. 20 kg, + ve sense

C. 10 kg, + ve sense

D. 10 kg, -ve sense

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4

The velocity ratio of a first system of pulleys with 4 pulleys is

A. 4

B. 8

C. 16

D. 20

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4

The static friction

A. Bears a constant ratio to the normal reaction between the two surfaces

B. Is independent of the area of contact, between the two surfaces

C. Always acts in a direction, opposite to that in which the body tends to move

D. All of the above

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4

One joule means that

A. Work is done by a force of 1 N when it displaces a body through 1 m

B. Work is done by a force of 1 kg when it displaces a body through 1 m

C. Work is done by a force of 1 dyne when it displaces a body through 1 cm

D. Work is done by a force of 1 g when it displaces a body through 1 cm

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4

A flywheel on a motor goes from rest to 1000 rpm in 6 sec. The number of revolutions made is nearly equal to

A. 25

B. 50

C. 100

D. 250

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4

Mass moment of inertia of a thin rod about its one end is __________ the mass moment of inertia of the same rod about its midpoint

A. Same as

B. Twice

C. Thrice

D. Four times

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4

Non-coplanar 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. Meet at one point and their lines of action also lie on the same plane

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

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4

The moment of inertia of a square of side a about its diagonal is

A. a2/8

B. a3/12

C. a4/12

D. a4/16

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4

Pick up wrong statement about friction force for dry surfaces. Friction force is

A. Proportional to normal load between the surfaces

B. Dependent on the materials of contact surface

C. Proportional to velocity of sliding

D. Independent of the area of contact surfaces

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4

The resultant of two forces P and Q (such that P > Q) acting along the same straight line, but in opposite direction, is given by

A. P + Q

B. P - Q

C. P / Q

D. Q / P

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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

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4

One kg force is equal to

A. 7.8 N

B. 8.9 N

C. 9.8 N

D. 12 N

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4

Pick up the incorrect statement from the following:

A. The C.G. of a circle is at its centre

B. The C.G. of a triangle is at the intersection of its medians

C. The C.G. of a rectangle is at the intersection of its diagonals

D. The C.G. of a semicircle is at a distance of r/2 from the centre

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4

A pendulum which executes one beat per second is known as

A. Simple pendulum

B. Compound pendulum

C. Torsional pendulum

D. Second's pendulum

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4

Coefficient of friction is the

A. Angle between normal reaction and the resultant of normal reaction and the limiting friction

B. Ratio of limiting friction and normal reaction

C. The friction force acting when the body is just about to move

D. The friction force acting when the body is in motion

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4

Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is

A. π/16 (D² - d²)

B. π/16 (D³ - d³)

C. π/32 (D⁴ - d⁴)

D. π/64 (D⁴ - d⁴)

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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 forces, which meet at one point, but their lines of action do not lie in a plane, are called

A. Coplanar non-concurrent forces

B. Non-coplanar concurrent forces

C. Non-coplanar non-concurrent forces

D. Intersecting forces

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4

The unit of work in S.I. units is

A. Newton

B. erg

C. kg-m

D. joule

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4

If rain is falling in the opposite direction of the movement of a pedestrian, he has to hold his umbrella

A. More inclined when moving

B. Less inclined when moving

C. More inclined when standing

D. Less inclined when standing

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4

The maximum frictional force, which comes into play, when a body just begins to slide over the surface of the other body, is known as

A. Static friction

B. Dynamic friction

C. Limiting friction

D. Coefficient of friction

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4

The law of motion involved in the recoil of gun is

A. Newton's first law of motion

B. Newton's second law of motion

C. Newton's third law of motion

D. None of these

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4

The range of projectile (R) on an upward inclined plane is

A. g. cos² β/2u². sin (α + β). cos α

B. 2u². sin (α + β). cos α/g. cos² β

C. g. cos² β/2u². sin (α - β). cos α

D. 2u². sin (α - β). cos α/g. cos² β

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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 width (b), is

A. db³/12

B. bd³/12

C. db³/36

D. bd³/36

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4

The C.G. of a right circular solid cone of height h lies at the following distance from the base

A. h/2

B. J/3

C. h/6

D. h/4

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4

When trying to turn a key into a lock, following is applied

A. Coplanar force

B. Non-coplanar forces

C. Moment

D. Couple

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4

The velocity ratio for the first system of pulleys is (where n is the number of pulleys.)

A. n

B.

C. 2n

D. 2n - 1

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4

If a body is acted upon by a number of coplanar non-concurrent forces, it may

A. Rotate about itself without moving

B. Move in any one direction rotating about itself

C. Be completely at rest

D. All of these

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4

Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. It the line of action of the resultant is 6 mm from any given force, the two forces are

A. 15 N and 5 N

B. 20 N and 5 N

C. 15 N and 15 N

D. None of these

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4

The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction in which the force acts. This statement is known as

A. Newton's first law of motion

B. Newton's second law of motion

C. Newton's third law of motion

D. None of these