Two bodies of masses m1 and m2 are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be

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Two bodies of masses m1 and m2 are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be

A. g (m₁ - m₂)/(m₁ + m₂)

B. 2g (m₁ - m₂)/(m₁ + m₂)

C. g (m₁ + m₂)/(m₁ - m₂)

D. 2g (m₁ + m₂)/(m₁ - m₂)

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A block of mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will __________ with the increase in coefficient of friction.

A. Increase

B. Decrease

C. Not be effected

D. None of these

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In the equation of virtual work, following force is neglected

A. Reaction of any smooth surface with which the body is in contact

B. Reaction of a rough surface of a body which rolls on it without slipping

C. Reaction at a point or an axis, fixed in space, around which a body is constrained to turn

D. All of the above

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The unit of angular velocity is

A. m/min

B. rad/s

C. Revolutions/min

D. Both (B) and (C)

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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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Which of the following is not the unit of energy?

A. kg m

B. kcal

C. Watt

D. Watt hours

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Concurrent forces are those forces whose lines of action

A. Lie on the same line

B. Meet at one point

C. Meet on the same plane

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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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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The angle between two forces when the resultant is maximum and minimum respectively are:

A. 0° and 180°

B. 180° and 0°

C. 90° and 180°

D. 90° and 0°

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The centre of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius.

A. 3r/ 8

B. 4r/ 3π

C. 8r/3

D. 3r/4π

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Moment of inertia of a hollow circular section, as shown in the below figure about an axis perpendicular to the section, is __________ than that about X-X axis.

A. Two times

B. Same

C. Half

D. None of these

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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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One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring.)

A. 2π. √(g/δ)

B. 1/2π. √(g/δ)

C. 2π. √(δ/g)

D. 1/2π. √(δ/g)

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Coulomb friction is the friction between

A. Bodies having relative motion

B. Two dry surfaces

C. Two lubricated surfaces

D. Solids and liquids

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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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The unit of force in S.I. system of units is

A. Dyne

B. Kilogram

C. Newton

D. Watt

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The coefficient of friction depends upon

A. Nature of surfaces

B. Area of contact

C. Shape of the surfaces

D. All of the above

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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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Which of the following is a vector quantity?

A. Energy

B. Mass

C. Momentum

D. Angle

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The maximum frictional force which comes into play when a body just begins to slide over another surface is called

A. Limiting friction

B. Sliding friction

C. Rolling friction

D. Kinematic friction

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The power developed by a body acted upon by a torque T Newton metre (N - m) and revolving at ω radian/s is given by

A. T.ω (in watts)

B. T.ω/60 (in watts)

C. T.ω/75 (in kilowatts)

D. T.ω/4500 (in kilowatts)

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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

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The centre of gravity a T-section 100 mm × 150 mm × 50 mm from its bottom is

A. 50 mm

B. 75 mm

C. 87.5 mm

D. 125 mm

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The total motion possessed by a body, is called

A. Impulsive force

B. Mass

C. Weight

D. Momentum

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The velocity ratio of a simple wheel and axle with D and d as the diameters of effort wheel and load axle, is

A. D + d

B. D - d

C. D × d

D. D / d

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Which of the following statement is correct?

A. The kinetic energy of a body during impact remains constant.

B. The kinetic energy of a body before impact is equal to the kinetic energy of a body after impact.

C. The kinetic energy of a body before impact is less than the kinetic energy of a body after impact.

D. The kinetic energy of a body before impact is more than the kinetic energy of a body after impact.

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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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Which of the following is a scalar quantity?

A. Force

B. Speed

C. Velocity

D. Acceleration

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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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Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to

A. Area of the triangle

B. Twice the area of the triangle

C. Half the area of the triangle

D. None of these

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Accepted Answer

A. g (m₁ - m₂)/(m₁ + m₂)

Two bodies of masses m1 and m2 are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be

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Related Questions

In the equation of virtual work, following force is neglected

The unit of angular velocity is

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.)

Which of the following is not the unit of energy?

Concurrent forces are those forces whose lines of action

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.)

D' Alembert's principle is used for

The angle between two forces when the resultant is maximum and minimum respectively are:

The centre of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius.

Moment of inertia of a hollow circular section, as shown in the below figure about an axis perpendicular to the section, is __________ than that about X-X axis.

A pendulum which executes one beat per second is known as

One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring.)

Coulomb friction is the friction between

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.)

The unit of force in S.I. system of units is

The coefficient of friction depends upon

Which of the following statement is incorrect?

Which of the following is a vector quantity?

The maximum frictional force which comes into play when a body just begins to slide over another surface is called

The power developed by a body acted upon by a torque T Newton metre (N - m) and revolving at ω radian/s is given by

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

The centre of gravity a T-section 100 mm × 150 mm × 50 mm from its bottom is

The total motion possessed by a body, is called

The velocity ratio of a simple wheel and axle with D and d as the diameters of effort wheel and load axle, is

Which of the following statement is correct?

The acceleration of a body sliding down an inclined surface is

Which of the following is a scalar quantity?

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

Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to

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Two bodies of masses m1 and m2 are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be

Correct Answer :

Show all Engineering Mechanics MCQ

Related Questions

In the equation of virtual work, following force is neglected

The unit of angular velocity is

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.)

Which of the following is not the unit of energy?

Concurrent forces are those forces whose lines of action

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.)

D' Alembert's principle is used for

The angle between two forces when the resultant is maximum and minimum respectively are:

The centre of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius.

Moment of inertia of a hollow circular section, as shown in the below figure about an axis perpendicular to the section, is __________ than that about X-X axis.

A pendulum which executes one beat per second is known as

One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring.)

Coulomb friction is the friction between

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.)

The unit of force in S.I. system of units is

The coefficient of friction depends upon

Which of the following statement is incorrect?

Which of the following is a vector quantity?

The maximum frictional force which comes into play when a body just begins to slide over another surface is called

The power developed by a body acted upon by a torque T Newton metre (N - m) and revolving at ω radian/s is given by

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

The centre of gravity a T-section 100 mm × 150 mm × 50 mm from its bottom is

The total motion possessed by a body, is called

The velocity ratio of a simple wheel and axle with D and d as the diameters of effort wheel and load axle, is

Which of the following statement is correct?

The acceleration of a body sliding down an inclined surface is

Which of the following is a scalar quantity?

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

Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to

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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.)