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4

For any system of coplanar forces, the condition of equilibrium is that the

A. Algebraic sum of the horizontal components of all the forces should be zero

B. Algebraic sum of the vertical components of all the forces should be zero

C. Algebraic sum of moments of all the forces about any point should be zero

D. All of the above

Correct Answer :

D. All of the above


Related Questions

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4

A framed structure is perfect, if the number of members are __________ (2j - 3), where j is the number of joints.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

A force acting on a body may

A. Change its motion

B. Balance the other forces acting on it

C. Retard its motion

D. All of the above

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4

Effect of a force on a body depends upon

A. Magnitude

B. Direction

C. Position or line of action

D. All of the above

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4

The velocity of a particle moving with simple harmonic motion is __________ at the mean position.

A. Zero

B. Minimum

C. Maximum

D. None of these

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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

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

A. The floor is smooth, the wall is rough

B. The floor is rough, the wall is smooth

C. The floor and wall both are smooth surfaces

D. The floor and wall both are rough surfaces

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4

On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be

A. Downwards at its upper end

B. Upwards at its upper end

C. Perpendicular to the wall at its upper end

D. Zero at its upper end

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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

In actual machines, mechanical advantage is __________ velocity ratio.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

Least force required to draw a body up the inclined plane is W sin (plane inclination + friction angle) applied in the direction

A. Along the plane

B. Horizontally

C. Vertically

D. At an angle equal to the angle of friction to the inclined plane

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4

The units of moment of inertia of an area are

A. kg-m²

B. m⁴

C. kg/m²

D.

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4

The minimum force required to slide a body of weight W on a rough horizontal plane is

A. W sinθ

B. W cosθ

C. W tanθ

D. None of these

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4

The periodic time of one oscillation for a simple pendulum is (where l = Length of the pendulum.)

A. (1/2π). √(l/g)

B. (1/2π). √(g/l)

C. 2π. √(l/g)

D. None of these

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4

The time of flight of a projectile on downward inclined plane depends upon

A. Angle of projection

B. Angle of inclination of the plane

C. Both (A) and (B)

D. None of these

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4

The maximum efficiency of a screw jack is

A. (1 - sinφ)/(1 + sinφ)

B. (1 + sinφ)/(1 - sinφ)

C. (1 - tanφ)/(1 + tanφ)

D. (1 + tanφ)/(1 - tanφ)

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4

Two forces are acting at an angle of 120°. The bigger force is 40 N and the resultant is perpendicular to the smaller one. The smaller force is

A. 20 N

B. 40 N

C. 120 N

D. None of these

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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

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

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

The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body, m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)

A. [m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²

B. [2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²

C. [m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)

D. [2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)

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4

Dynamic friction as compared to static friction is

A. Same

B. More

C. Less

D. May be less of more depending on nature of surfaces and velocity

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4

Which of the following is a vector quantity?

A. Energy

B. Mass

C. Momentum

D. Angle

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4

A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is

A.

B. 30°

C. 45°

D. 60°

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4

Which of the following statement is correct in connection with projectiles?

A. A path, traced by a projectile in the space, is known as trajectory.

B. The velocity, with which a projectile is projected, is known as the velocity of projection.

C. The angle, with the horizontal, at which a projectile is projected, is known as angle of projection.

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

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

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

The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction.

A. Equal to

B. Less than

C. Greater than

D. None of these

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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

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