The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is

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The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is

A. a = α/ r

B. a = α.r

C. a = r / α

D. None of these

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Efficiency of a screw jack is given by (where α = Helix angle, and φ = Angle of friction.)

A. tan(α + φ)/tanα

B. tanα/tan (α + φ)

C. tan(α - φ)/tanα

D. None of these

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A screw jack used for lifting the loads is

A. A reversible machine

B. A non-reversible machine

C. An ideal machine

D. None of these

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The forces which meet at one point, but their lines of action __________ on the same plane, are Known as non-coplanar concurrent forces.

A. Lie

B. Do not lie

C. Either A or B

D. None of these

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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 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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A couple produces

A. Translatory motion

B. Rotational motion

C. Combined translatory and rotational motion

D. None of the above

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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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According to Newton's first law of motion,

A. Everybody continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force

B. 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

C. To every action, there is always an equal and opposite reaction

D. None of the above

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The law of the machine is (where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted, and C = Another constant which represents the machine friction.)

A. P = mW - C

B. P = m/W + C

C. P = mW + C

D. P = C - mW

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If a number of forces are acting at a point, their resultant will be inclined at an angle θ with the horizontal, such that

A. tanθ = ΣH/ΣV

B. tanθ = ΣV/ΣH

C. tanθ = ΣV × ΣH

D. tanθ = √(ΣV + ΣH)

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A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act

A. Downward at its upper end

B. Upward at its upper end

C. Zero at its upper end

D. Perpendicular to the wall at its upper end

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The angular velocity (in rad/s) of a body rotating at N revolutions per minute is

A. πN/60

B. πN/180

C. 2πN/60

D. 2πN/180

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Which of the following is the example of lever of first order?

A. Arm of man

B. Pair of scissors

C. Pair of clinical tongs

D. All of the above

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The friction experienced by a body, when at rest, is known as

A. Static friction

B. Dynamic friction

C. Limiting friction

D. Coefficient of friction

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The amplitude is always __________ radius of the circle.

A. Equal to

B. Less than

C. Greater than

D. None of these

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The time of flight (t) of a projectile on an upward inclined plane is (where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

A. t = g cos β/2u sin (α - β)

B. t = 2u sin (α - β)/g cos β

C. t = g cos β/2u sin (α + β)

D. t = 2u sin (α + β)/g cos β

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The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

A. y = (gx²/2u² cos²α) + x. tanα

B. y = (gx²/2u² cos²α) - x. tanα

C. y = x. tanα - (gx²/2u² cos²α)

D. y = x. tanα + (gx²/2u² cos²α)

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The moment of inertia of a thin rod of mass m and length l, about an axis through its centre of gravity and perpendicular to its length is

A. ml²/4

B. ml²/ 6

C. ml²/8

D. ml²/12

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A body will begin to move down an inclined plane if the angle of inclination of the plane is _________ the angle of friction.

A. Equal to

B. Less than

C. Greater than

D. None of these

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The acceleration of a body sliding down an inclined surface is

A. g sinθ

B. g cosθ

C. g tanθ

D. None of these

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Joule is the unit of

A. Force

B. Work

C. Power

D. Velocity

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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

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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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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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The resolved part of the resultant of two forces inclined at an angle θ in a given direction is equal to

A. The algebraic sum of the resolved parts of the forces in the given direction

B. The sum of the resolved parts of the forces in the given direction

C. The difference of the forces multiplied by the cosine of θ

D. The sum of the forces multiplied by the sine of θ

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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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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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When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.

A. Directly proportional

B. Inversely proportional

C. Cube root

D. None of these

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The rate of doing work is known as

A. Potential energy

B. Kinetic energy

C. Power

D. None of these

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In actual machines, mechanical advantage is __________ velocity ratio.

A. Equal to

B. Less than

C. Greater than

D. None of these

Discuss this answer

Accepted Answer

B. a = α.r

The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is

Correct Answer :

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Related Questions

Efficiency of a screw jack is given by (where α = Helix angle, and φ = Angle of friction.)

A screw jack used for lifting the loads is

The forces which meet at one point, but their lines of action __________ on the same plane, are Known as non-coplanar concurrent forces.

In ideal machines, mechanical advantage is __________ velocity ratio.

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

A couple produces

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

According to Newton's first law of motion,

The law of the machine is (where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted, and C = Another constant which represents the machine friction.)

If a number of forces are acting at a point, their resultant will be inclined at an angle θ with the horizontal, such that

A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act

The angular velocity (in rad/s) of a body rotating at N revolutions per minute is

Which of the following is the example of lever of first order?

The friction experienced by a body, when at rest, is known as

The amplitude is always __________ radius of the circle.

The time of flight (t) of a projectile on an upward inclined plane is (where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

The moment of inertia of a thin rod of mass m and length l, about an axis through its centre of gravity and perpendicular to its length is

A body will begin to move down an inclined plane if the angle of inclination of the plane is _________ the angle of friction.

The acceleration of a body sliding down an inclined surface is

Joule is the unit of

Which of the following statement is correct?

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.)

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

The resolved part of the resultant of two forces inclined at an angle θ in a given direction is equal to

A force acting on a body may

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

When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.

The rate of doing work is known as

In actual machines, mechanical advantage is __________ velocity ratio.

Also checkout

The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is

Correct Answer :

Show all Engineering Mechanics MCQ

Related Questions

Efficiency of a screw jack is given by (where α = Helix angle, and φ = Angle of friction.)

A screw jack used for lifting the loads is

The forces which meet at one point, but their lines of action __________ on the same plane, are Known as non-coplanar concurrent forces.

In ideal machines, mechanical advantage is __________ velocity ratio.

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

A couple produces

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

According to Newton's first law of motion,

The law of the machine is (where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted, and C = Another constant which represents the machine friction.)

If a number of forces are acting at a point, their resultant will be inclined at an angle θ with the horizontal, such that

A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act

The angular velocity (in rad/s) of a body rotating at N revolutions per minute is

Which of the following is the example of lever of first order?

The friction experienced by a body, when at rest, is known as

The amplitude is always __________ radius of the circle.

The time of flight (t) of a projectile on an upward inclined plane is (where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

The moment of inertia of a thin rod of mass m and length l, about an axis through its centre of gravity and perpendicular to its length is

A body will begin to move down an inclined plane if the angle of inclination of the plane is _________ the angle of friction.

The acceleration of a body sliding down an inclined surface is

Joule is the unit of

Which of the following statement is correct?

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.)

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

The resolved part of the resultant of two forces inclined at an angle θ in a given direction is equal to

A force acting on a body may

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

When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.

The rate of doing work is known as

In actual machines, mechanical advantage is __________ velocity ratio.

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.)