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.)

Question

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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Coplanar non-concurrent forces are those forces which __________ at one point, but their lines of action lie on the same plane.

A. Meet

B. Do not meet

C. Either A or B

D. None of these

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The resultant of two equal forces P making an angle θ, is given by

A. 2P sinθ/2

B. 2P cosθ/2

C. 2P tanθ/2

D. 2P cotθ/2

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The maximum mechanical advantage of a lifting machine is

A. 1 + m

B. 1 - m

C. 1 / m

D. m

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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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The time of flight (t) of a projectile on a horizontal plane is given by

A. t = 2u. sinα/g

B. t = 2u. cosα/g

C. t = 2u. tanα/g

D. t = 2u/g.sinα

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A couple produces

A. Translatory motion

B. Rotational motion

C. Combined translatory and rotational motion

D. None of the above

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One joule is equal to

A. 0.1 N-m

B. 1 N-m

C. 10 N-m

D. 100 N-m

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Mass moment of inertia of a uniform thin rod of mass M and length (l) about its mid-point and perpendicular to its length is

A. (2/3) Ml²

B. (1/3) Ml²

C. (3/4) Ml²

D. (1/12) Ml²

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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 depth (d), is

A. db³/12

B. bd³/12

C. db³/36

D. bd³/36

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The moment of the force P about O as shown in the below figure is

A. P × OA

B. P × OB

C. P × OC

D. P × AC

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The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is

A. [√(4p² - q²)]/6

B. (4p² - q²)/6

C. (p² - q²)/4

D. (p² + q²)/4

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A force is completely defined when we specify

A. Magnitude

B. Direction

C. Point of application

D. All of the above

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The C.G. of a plane lamina will not be at its geometrical centre in the case of a

A. Right angled triangle

B. Equilateral triangle

C. Square

D. Circle

Discuss this answer

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

A. Towards the wall at its upper end

B. Away from the wall at its upper end

C. Upwards at its upper end

D. Downwards at its upper end

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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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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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Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity v is made to strike the second ball. Both the balls after impact will move with a velocity

A. v

B. v/2

C. v/4

D. v/8

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The periodic time (T) is given by (where, ω = Angular velocity of particle in rad/s.)

A. ω/2π

B. 2π/ω

C. 2π × ω

D. π/ω

Discuss this answer

The force induced in the string BC due to the load W as shown in the below figure is

A. W sinθ

B. W cosθ

C. W tanθ

D. W cotθ

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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

Discuss this answer

The unit of moment of inertia of an area is

A. kg-m²

B. kg-m-s²

C. kg/m²

D. m⁴

Discuss this answer

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

Discuss this answer

The term 'Centroid' is

A. The same as centre of gravity

B. The point of suspension

C. The point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis

D. None of the above

Discuss this answer

A machine having an efficiency greater than 50%, is known as

A. Reversible machine

B. Non-reversible machine

C. Neither reversible nor non-reversible machine

D. Ideal machine

Discuss this answer

In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC.

A. Half

B. Equal to

C. Double

D. None of these

Discuss this answer

Which of the following is not the unit of work, energy and heat?

A. kcal

B. kg-m

C. kW-hr

D. h.p

Discuss this answer

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

Discuss this answer

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

Discuss this answer

Static friction is always __________ dynamic friction.

A. Equal to

B. Less than

C. Greater than

D. None of these

Discuss this answer

Accepted Answer

A. [m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²

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.)

Correct Answer :

Show all Engineering Mechanics MCQ

Related Questions

Coplanar non-concurrent forces are those forces which __________ at one point, but their lines of action lie on the same plane.

The resultant of two equal forces P making an angle θ, is given by

The maximum mechanical advantage of a lifting machine is

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

The time of flight (t) of a projectile on a horizontal plane is given by

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One joule is equal to

Mass moment of inertia of a uniform thin rod of mass M and length (l) about its mid-point and perpendicular to its length is

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

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

The maximum efficiency of a screw jack is

Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity v is made to strike the second ball. Both the balls after impact will move with a velocity

The periodic time (T) is given by (where, ω = Angular velocity of particle in rad/s.)

The force induced in the string BC due to the load W as shown in the below figure is

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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.)

The term 'Centroid' is

A machine having an efficiency greater than 50%, is known as

In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC.

Which of the following is not the unit of work, energy and heat?

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

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Static friction is always __________ dynamic friction.

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.)

Correct Answer :

Show all Engineering Mechanics MCQ

Related Questions

Coplanar non-concurrent forces are those forces which __________ at one point, but their lines of action lie on the same plane.

The resultant of two equal forces P making an angle θ, is given by

The maximum mechanical advantage of a lifting machine is

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

The time of flight (t) of a projectile on a horizontal plane is given by

A couple produces

One joule is equal to

Mass moment of inertia of a uniform thin rod of mass M and length (l) about its mid-point and perpendicular to its length 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 depth (d), is

The moment of the force P about O as shown in the below figure is

The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is

A force is completely defined when we specify

The C.G. of a plane lamina will not be at its geometrical centre in the case of a

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

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

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

The maximum efficiency of a screw jack is

Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity v is made to strike the second ball. Both the balls after impact will move with a velocity

The periodic time (T) is given by (where, ω = Angular velocity of particle in rad/s.)

The force induced in the string BC due to the load W as shown in the below figure 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 unit of moment of inertia of an area is

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.)

The term 'Centroid' is

A machine having an efficiency greater than 50%, is known as

In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC.

Which of the following is not the unit of work, energy and heat?

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

Dynamic friction as compared to static friction is

Static friction is always __________ dynamic friction.

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.)