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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The motion of a particle is described by the relation x = t²- 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be

50 m
60 m
Zero
30 m

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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?

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

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Applied Mechanics and Graphic Statics
The torque produced by a force depends on(i) The magnitude of the force(ii) The direction of the force(iii) The point of application of the force relative to origin

Both (i) and (ii)
Only (i)
Both (i) and (iii)
All (i), (ii) and (iii)

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Applied Mechanics and Graphic Statics
Cartesian form of the equation of catenary is

y = c cosh x/c
y = c sinh x/c
y = c sin x/c
y = c tan x/c

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Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

(a² + ab + b²)/3 (a + b)
None of these
(a² + ab + c²)/3 (a + c)
(b² + bc + c²)/3 (b + c)

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Applied Mechanics and Graphic Statics
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

1.5 m/sec
0.5 m/sec
1.0 m/sec
2.5 m/sec

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