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Engineering Mechanics

Engineering Mechanics
The velocity ratio for the third system of pulleys is

2n - 1
n²
2n
n

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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 = Ah2 / IG
IP = IG - Ah2

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Engineering Mechanics
Center of gravity of a thin hollow cone lies on the axis at a height of

One-third of the total height above base
One-fourth of the total height above base
Three-eighth of the total height above the base
One-half of the total height above base

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

2mr²/5
3mr²/5
2mr²/3
mr²/3

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Engineering Mechanics
The C.G. of a solid hemisphere lies on the central radius 3r

At distance — from the plane base
At distance — from the plane base 3r
At distance — from the plane base 3r
At distance — from the plane base 3r

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Engineering Mechanics
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.)

v = u + a.t
All of these
s = u.t + ½ a.t2
v2 = u2 + 2a.s

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