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Engineering Mechanics

Engineering Mechanics
Moment of inertia of a circular section about an axis perpendicular to the section is

πd4/32
πd4/64
πd3/32
πd3/16

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Engineering Mechanics
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)

IP = Ah2 / IG
IP = IG - Ah2
IP = IG / Ah2
IP = IG + Ah2

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Engineering Mechanics
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. This statement is known as

Newton's first law of motion
Newton's second law of motion
Newton's third law of motion
None of these

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Engineering Mechanics
The horizontal range of a projectile (R) is given by

R = u² sin2α/g
R = u² sinα/g
R = u² cos2α/g
R = u² cosα/g

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Engineering Mechanics
The velocity ratio in case of an inclined plane inclined at angle 'θ' to the horizontal and weight being pulled up the inclined plane by vertical effort is

cosθ
cosecθ
tanθ
sinθ

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Engineering Mechanics
The power developed by a body acted upon by a torque 'T' Newton meter (N - m) and revolving at ω radian/s is given by

T.ω (in watts)
T.ω/75 (in kilowatts)
T.ω/4500 (in kilowatts)
T.ω/60 (in watts)

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