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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The condition of equilibrium for any system of forces in a plane is

That polygon of forces must close
None of these
That resultant couple must be zero
Both (A) and (B)

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Applied Mechanics and Graphic Statics
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

u² cos² α/2g
u² sin² α/2g
u² tan² α/2g
u² sin 2α/2g

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Applied Mechanics and Graphic Statics
The shape of a suspended cable for a uniformly distributed load over it is

Circular
Parabolic
Catenary
Cubic parabola

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Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(3/7) g sin 0
(5/7) g sin0
(1/3) g sin0
(2/5) g sin 0

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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

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

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Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

2R/r1 + r2
2R/r1
3R/r1 - r2
R/r1 - r2

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