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4

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C.G. and parallel to the base, is

A. bh3/4

B. bh3/8

C. bh3/12

D. bh3/36

Correct Answer :

D. bh3/36


Related Questions

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4

Center of percussion is

A. The point of C.G.

B. The point of metacenter

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

D. Point of suspension

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4

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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4

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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4

One kg force is equal to

A. 7.8 N

B. 8.9 N

C. 9.8 N

D. 12 N

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4

Which of the following is a scalar quantity?

A. Force

B. Speed

C. Velocity

D. Acceleration

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4

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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4

The motion of a wheel of a car is

A. Purely translation

B. Purely rotational

C. Combined translation and rotational

D. None of these

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4

The velocity ratio of a differential wheel and axle with D as the diameter of effort wheel and d1 and d2 as the diameters of larger and smaller axles respectively, is

A. D/(d₁ + d₂)

B. D/(d₁ - d₂)

C. 2D/(d₁ + d₂)

D. 2D/(d₁ - d₂)

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4

The law of motion involved in the recoil of gun is

A. Newton's first law of motion

B. Newton's second law of motion

C. Newton's third law of motion

D. None of these

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4

The moment of inertia of a thin disc of mass m and radius r, about an axis through its centre of gravity and perpendicular to the plane of the disc is

A. mr2/2

B. mr2/4

C. mr2/6

D. mr2/8

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4

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

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4

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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4

The point, through which the whole weight of the body acts, irrespective of its position, is known as

A. Moment of inertia

B. Centre of gravity

C. Centre of percussion

D. Centre of mass

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4

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

A. Reversible machine

B. Non-reversible machine

C. Neither reversible nor non-reversible machine

D. Ideal machine

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4

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base.

A. Nine times

B. Six times

C. Four times

D. Two times

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4

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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4

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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4

If the gravitational acceleration at any place is doubled, then the weight of a body will be

A. g/2

B. g

C. √2.g

D. 2g

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4

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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4

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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4

The rate of doing work is known as

A. Potential energy

B. Kinetic energy

C. Power

D. None of these

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4

If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

Which of the following is an equation of linear motion? (where, u and v = Initial and final velocity of the body, a = Acceleration of the body, and s = Displacement of the body in time t seconds.)

A. v = u + a.t

B. s = u.t + ½ a.t2

C. v2 = u2 + 2a.s

D. All of these

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4

If the resultant of two equal forces has the same magnitude as either of the forces, then the angle between the two forces is

A. 30°

B. 60°

C. 90°

D. 120°

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4

The centre of percussion of the homogeneous rod of length L suspended at the top will be

A. L/2

B. L/3

C. 3L/4

D. 2L/3

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4

A redundant frame is also called __________ frame.

A. Perfect

B. Imperfect

C. Deficient

D. None of these

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4

Which of the following are vector quantities?

A. Linear displacement

B. Linear velocity

C. Linear acceleration

D. All of these

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4

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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4

Tension in the cable supporting a lift is more when the lift is moving __________ with an acceleration.

A. Upwards

B. Downwards

C. Horizontal

D. None of these

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4

If a number of forces are acting at a point, their resultant is given by

A. (ΣV)2 + (ΣH)2

B. √[(ΣV)2 + (ΣH)2]

C. (ΣV)2 +(ΣH)2 +2(ΣV)(ΣH)

D. √[(ΣV)2 +(ΣH)2 +2(ΣV)(ΣH)]