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Applied Mechanics and Graphic Statics

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)

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

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Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

45°
15°
75°
30°

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Applied Mechanics and Graphic Statics
A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

16 m/sec
22 m/sec
20 m/sec
18 m/sec

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Applied Mechanics and Graphic Statics
A system of coplanar forces is in equilibrium when

All the forces are concurrent
Funicular polygon closes
Force polygon closes
Both force polygon" and funicular polygon close

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Applied Mechanics and Graphic Statics
If ‘l’ is the span of a light suspension bridge who’s each cable carries total weight (w) and the central dip is ‘y’, the horizontal pull at each support, is

wl
wl/8y
wl/4y
wl/2y

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Applied Mechanics and Graphic Statics
The unit of rotational inertia of a body in C.G.S system is

gm.cm3
cm⁴
gm.cm²
kg.cm²

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