The necessary condition for forces to be in equilibrium is that these should be

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The necessary condition for forces to be in equilibrium is that these should be

A. Coplanar

B. Meet at one point

C. Both (A) and (B) above

D. All be equal

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In a screw jack, the effort required to lower the load is __________ the effort required to raise the same load.

A. Less than

B. Equal to

C. More than

D. None of these

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Moment of inertia of a circular section about an axis perpendicular to the section is

A. πd³/16

B. πd³/32

C. πd⁴/32

D. πd⁴/64

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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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The moment of inertia of a sphere of mass m and radius r, about an axis tangential to it, is

A. 2mr²/3

B. 2mr²/5

C. 7mr²/3

D. 7mr²/5

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D' Alembert's principle is used for

A. Reducing the problem of kinetics to equivalent statics problem

B. Determining stresses in the truss

C. Stability of floating bodies

D. Designing safe structures

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Which of the following is not the unit of power?

A. kW (kilowatt)

B. hp (horse power)

C. kcal/sec

D. kcal/kg sec

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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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If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be

A. Same

B. Half

C. Double

D. None of these

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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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The centre of gravity of a triangle lies at the point of

A. Concurrence of the medians

B. Intersection of its altitudes

C. Intersection of bisector of angles

D. Intersection of diagonals

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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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According to law of triangle of forces

A. Three forces acting at a point will be in equilibrium

B. Three forces acting at a point can be represented by a triangle, each side being proportional to force

C. If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium

D. If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two

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The moment of inertia of a solid cylinder of mass m, radius r and length l about the longitudinal axis or polar axis is

A. mr²/2

B. mr²/4

C. mr²/6

D. mr²/8

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The moment of a force

A. Is the turning effect produced by a force, on the body, on which it acts

B. Is equal to the product of force acting on the body and the perpendicular distance of a point and the line of action of the force

C. Is equal to twice the area of the triangle, whose base is the line representing the force and whose vertex is the point, about which the moment is taken

D. All of the above

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The centre of gravity of a right circular solid cone is at a distance of __________ from its base, measured along the vertical axis. (where h = Height of a right circular solid cone.)

A. h/2

B. h/3

C. h/4

D. h/6

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Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

A. Their algebraic sum is zero

B. Their lines of action are at equal distances

C. The algebraic sum of their moments about any point in their plane is zero

D. The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.

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If a number of forces act simultaneously on a particle, it is possible

A. Not a replace them by a single force

B. To replace them by a single force

C. To replace them by a single force through C.G.

D. To replace them by a couple

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The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is

A. 9 cm⁴

B. 12 cm⁴

C. 16 cm⁴

D. 20 cm⁴

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The horizontal range of a projectile (R) is given by

A. R = u² cos2α/g

B. R = u² sin2α/g

C. R = u² cosα/g

D. R = u² sinα/g

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The weight of a body is due to

A. Gravitational pull exerted by the earth

B. Forces experienced by body in atmosphere

C. Force of attraction experienced by particles

D. Gravitational force of attraction towards the centre of the earth

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The three forces of 100 N, 200 N and 300 N have their lines of action parallel to each other but act in the opposite directions. These forces are known as

A. Coplanar concurrent forces

B. Coplanar non-concurrent forces

C. Like parallel forces

D. Unlike parallel forces

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The M.I. of hollow circular section about a central axis perpendicular to section as compared to its M.I. about horizontal axis is

A. Same

B. Double

C. Half

D. Four times

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The bellow figure shows the three coplanar forces P, Q and R acting at a point O. If these forces are in equilibrium, then

A. P/sin β = Q/sin α = R/sin

B. P/sin α = Q/sin β = R/sin

C. P/sin = Q/sin α = R/sin β

D. P/sin α = Q/sin = R/sin β

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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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The length of a second's pendulum is

A. 94.9 cm

B. 99.4 cm

C. 100 cm

D. 101 cm

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In ideal machines

A. Mechanical advantage is greater than velocity ratio

B. Mechanical advantage is equal to velocity ratio

C. Mechanical advantage is less than velocity ratio

D. Mechanical advantage is unity

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A body of weight W is required to move up on rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

A. P = W tanα

B. P = W tan (α + φ)

C. P = W (sinα + μcosα)

D. P = W (cosα + μsinα)

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Which of the following statement is incorrect?

A. A force acting in the opposite direction to the motion of the body is called force of friction

B. The ratio of the limiting friction to the normal reaction is called coefficient of friction

C. A machine whose efficiency is 100% is known as an ideal machine

D. The velocity ratio of a machine is the ratio of load lifted to the effort applied

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In ideal machines, mechanical advantage is __________ velocity ratio.

A. Equal to

B. Less than

C. Greater than

D. None of these

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The acceleration of a particle moving with simple harmonic motion, at any instant is given by

A. ω.y

B. ω².y

C. ω²/y

D. ω³.y

Discuss this answer

Accepted Answer

C. Both (A) and (B) above

The necessary condition for forces to be in equilibrium is that these should be

Correct Answer :

Show all Engineering Mechanics MCQ

Related Questions

In a screw jack, the effort required to lower the load is __________ the effort required to raise the same load.

Moment of inertia of a circular section about an axis perpendicular to the section is

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

The moment of inertia of a sphere of mass m and radius r, about an axis tangential to it, is

D' Alembert's principle is used for

Which of the following is not the unit of power?

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

If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be

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.)

The centre of gravity of a triangle lies at the point of

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

According to law of triangle of forces

The moment of inertia of a solid cylinder of mass m, radius r and length l about the longitudinal axis or polar axis is

The moment of a force

The centre of gravity of a right circular solid cone is at a distance of __________ from its base, measured along the vertical axis. (where h = Height of a right circular solid cone.)

Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

If a number of forces act simultaneously on a particle, it is possible

The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is

The horizontal range of a projectile (R) is given by

The weight of a body is due to

The three forces of 100 N, 200 N and 300 N have their lines of action parallel to each other but act in the opposite directions. These forces are known as

The M.I. of hollow circular section about a central axis perpendicular to section as compared to its M.I. about horizontal axis is

The bellow figure shows the three coplanar forces P, Q and R acting at a point O. If these forces are in equilibrium, then

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

The length of a second's pendulum is

In ideal machines

A body of weight W is required to move up on rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

Which of the following statement is incorrect?

In ideal machines, mechanical advantage is __________ velocity ratio.

The acceleration of a particle moving with simple harmonic motion, at any instant is given by

Also checkout

The necessary condition for forces to be in equilibrium is that these should be

Correct Answer :

Show all Engineering Mechanics MCQ

Related Questions

In a screw jack, the effort required to lower the load is __________ the effort required to raise the same load.

Moment of inertia of a circular section about an axis perpendicular to the section is

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

The moment of inertia of a sphere of mass m and radius r, about an axis tangential to it, is

D' Alembert's principle is used for

Which of the following is not the unit of power?

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

If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be

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.)

The centre of gravity of a triangle lies at the point of

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

According to law of triangle of forces

The moment of inertia of a solid cylinder of mass m, radius r and length l about the longitudinal axis or polar axis is

The moment of a force

The centre of gravity of a right circular solid cone is at a distance of __________ from its base, measured along the vertical axis. (where h = Height of a right circular solid cone.)

Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

If a number of forces act simultaneously on a particle, it is possible

The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is

The horizontal range of a projectile (R) is given by

The weight of a body is due to

The three forces of 100 N, 200 N and 300 N have their lines of action parallel to each other but act in the opposite directions. These forces are known as

The M.I. of hollow circular section about a central axis perpendicular to section as compared to its M.I. about horizontal axis is

The bellow figure shows the three coplanar forces P, Q and R acting at a point O. If these forces are in equilibrium, then

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

The length of a second's pendulum is

In ideal machines

A body of weight W is required to move up on rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

Which of the following statement is incorrect?

In ideal machines, mechanical advantage is __________ velocity ratio.

The acceleration of a particle moving with simple harmonic motion, at any instant is given by

Also checkout

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.)