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Applied Mechanics and Graphic Statics

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

(1/2π) √(α/θ)
2π √(α/θ)
2π √(α - θ)
4π √(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 sin θ
P sin θ/P + Q tan θ
Q sin θ/P + Q cos θ
P sin θ/P - Q cos θ

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Applied Mechanics and Graphic Statics
At a given instant ship ‘A’ is travelling at 6 km/h due east and ship ‘B’ is travelling at 8 km/h due north. The velocity of ‘B’ relative to ‘A’ is

10 km/hrs
7 km/hrs
2 km/hrs
1 km/hrs

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Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

200 J
400 J
50 J
150 J

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Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be

4
2
5
3

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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

437.5 cm⁴
237.5 cm⁴
137.5 cm⁴
337.5 cm⁴

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