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Engineering Mechanics

Engineering Mechanics
The moment of inertia of a solid cylinder of mass 'm', radius 'r' and length 'l' about the longitudinal axis or polar axis is

mr²/4
mr²/6
mr²/2
mr²/8

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Engineering Mechanics
The maximum velocity of a particle moving with simple harmonic motion is

ω/r
ωr
ω
ω2r

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

Rolling friction
Kinematic friction
Limiting friction
Sliding friction

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Engineering Mechanics
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 width (b), is

bd³/36
db³/36
bd³/12
db³/12

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Engineering Mechanics
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.)

1/2π. √(gh/kG² + h²)
2π. √(gh/kG² + h²)
1/2π. √(kG² + h²/gh)
2π. √(kG² + h²/gh)

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

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