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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

337.5 cm⁴
237.5 cm⁴
437.5 cm⁴
137.5 cm⁴

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Applied Mechanics and Graphic Statics
For perfectly elastic bodies, the value of coefficient of restitution is

1
Zero
Between 0 and 1
0.5

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Applied Mechanics and Graphic Statics
A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:

60 g
80 g
40 g
100 g

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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)
4π √(α/θ)
2π √(α - θ)

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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

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

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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

2 T
1/2 T
3 T
√2 T

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