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

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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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If n = number of members and y = number of joints, then for a perfect frame, n = ?

A. 1/2

B. 2/3

C. 3/2

D. 2/4

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The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is

A. h/(kG² + h²)

B. (kG² + h²)/h

C. h²/(kG² + h²)

D. (kG² + h²)/h²

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

A. kcal

B. kg-m

C. kW-hr

D. h.p

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The velocity ratio of a single purchase crab winch can be increased by

A. Increasing the length of the handle

B. Increasing the radius of the load drum

C. Increasing the number of teeth of the pinion

D. All of the above

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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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The mechanical advantage of a lifting machine is the ratio of

A. Distance moved by effort to the distance moved by load

B. Load lifted to the effort applied

C. Output to the input

D. All of the above

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The angle of inclination of the plane at which the body begins to move down the plane, is called

A. Angle of friction

B. Angle of repose

C. Angle of projection

D. None of these

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The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

A. β/2

B. 30° + β/2

C. 45° + β/2

D. 60° + β/2

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The efficiency of a lifting machine is the ratio of

A. Output to the input

B. Work done by the machine to the work done on the machine

C. Mechanical advantage to the velocity ratio

D. All of the above

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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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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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The range of projectile on a downward inclined plane is ________ the range on upward inclined plane for the same velocity of projection and angle of projection.

A. Less than

B. More than

C. Equal to

D. None of These

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Mass moment of inertia of a thin rod about its one end is __________ the mass moment of inertia of the same rod about its midpoint

A. Same as

B. Twice

C. Thrice

D. Four times

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Coplanar concurrent forces are those forces which

A. Meet at one point, but their lines of action do not lie on the same plane

B. Do not meet at one point and their lines of action do not lie on the same plane

C. Meet at one point and their lines of action also lie on the same plane

D. Do not meet at one point, but their lines of action lie on the same plane

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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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Centre of gravity of a solid cone lies on the axis at the height

A. One fourth of the total height above base

B. One third of the total height above base

C. One-half of the total height above base

D. Three eighth of the total height above the base

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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

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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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The maximum frictional force, which comes into play, when a body just begins to slide over the surface of the other body, is known as

A. Static friction

B. Dynamic friction

C. Limiting friction

D. Coefficient of friction

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The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is

A. mr²/3

B. 2mr²/3

C. 2mr²/5

D. 3mr²/5

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The unit of work or energy in S.I. units is

A. Newton

B. Pascal

C. Watt

D. Joule

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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 maximum acceleration of a particle moving with simple harmonic motion is

A. ω

B. ωr

C. ω²r

D. ω/r

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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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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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In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will

A. Increase

B. Decrease

C. Remain the same

D. None of these

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The wheels of a moving car possess

A. Potential energy only

B. Kinetic energy of translation only

C. Kinetic energy of rotation only

D. Kinetic energy of translation and rotation both

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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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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 frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)

A. 2π. √(gh/kG² + h²)

B. 2π. √(kG² + h²/gh)

C. 1/2π. √(gh/kG² + h²)

D. 1/2π. √(kG² + h²/gh)

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Accepted Answer

A. db³/12

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

Correct Answer :

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Related Questions

If n = number of members and y = number of joints, then for a perfect frame, n = ?

The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is

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

The velocity ratio of a single purchase crab winch can be increased by

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

The mechanical advantage of a lifting machine is the ratio of

The angle of inclination of the plane at which the body begins to move down the plane, is called

The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

The efficiency of a lifting machine is the ratio of

Dynamic friction as compared to static friction is

Which of the following is not the unit of power?

The range of projectile on a downward inclined plane is ________ the range on upward inclined plane for the same velocity of projection and angle of projection.

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Coplanar concurrent forces are those forces which

Which of the following statement is correct?

Centre of gravity of a solid cone lies on the axis at the height

In actual machines, mechanical advantage is __________ velocity ratio.

Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is

The maximum frictional force, which comes into play, when a body just begins to slide over the surface of the other body, is known as

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The unit of work or energy in S.I. units is

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

The maximum acceleration of a particle moving with simple harmonic motion is

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

The weight of a body is due to

In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will

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The total motion possessed by a body, is called

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