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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The intrinsic equation of catenary is

S = c tan ψ
y = c cosh ψ
y = c cosh x/c
y = c sinh ψ

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Applied Mechanics and Graphic Statics
Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

None of these
Both discs will have same rotational inertia
Disc with smaller density
Disc with larger density

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Applied Mechanics and Graphic Statics
The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is

5.0 cm
8.75 cm
7.5 cm
7.85 cm

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Applied Mechanics and Graphic Statics
A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is

4
8TC
8
6 7i

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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
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/2 + β/2
α = β/2 - π/2
α = π/4 - β/2
α = π/4 - β/2

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