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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
‘μ’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

2μ
½μ
μ
3μ

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Applied Mechanics and Graphic Statics
M.I. of solid sphere, is

⅔ Mr²
πr4/2
Mr²
½ Mr²

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Applied Mechanics and Graphic Statics
If ‘α’ is the angular acceleration of a compound pendulum whose angular displacement is ‘θ’, the frequency of the motion is

2π √(α - θ)
(1/2π) √(α/θ)
2π √(α/θ)
4π √(α/θ)

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Applied Mechanics and Graphic Statics
A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes

E/2
E
2E
4E

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Applied Mechanics and Graphic Statics
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

P sin θ/P + Q tan θ
Q sin θ/P + Q sin θ
Q sin θ/P + Q cos θ
P sin θ/P - Q cos θ

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Applied Mechanics and Graphic Statics
The C.G. of a right circular cone lies on its axis of symmetry at a height of

h/4
h/3
h/2
h/5

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