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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If two forces each equal to ‘T’ in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be

1/2 T
√2 T
2 T
3 T

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/2) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]

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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)
4π √(α/θ)
2π √(α - θ)
(1/2π) √(α/θ)

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Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

P² + Q² + 2P sin θ
√(P² + Q² + 2PQ cos θ)
P² + Q² + 2PQ cos θ
P² + Q² + 2PQ tan θ

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Applied Mechanics and Graphic Statics
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

Independent of A
Proportional to A²
Proportional to A
Proportional to 1/A²

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Applied Mechanics and Graphic Statics
If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is

P + Q
P - Q
P/Q
Q/P

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