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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

40 kg
50 kg
25 kg
30 kg

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Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

√(P² + Q² + 2PQ cos θ)
P² + Q² + 2PQ tan θ
P² + Q² + 2PQ cos θ
P² + Q² + 2P sin θ

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Applied Mechanics and Graphic Statics
The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be

10 rad/sec
1 rad/sec
100 rad/sec
0.1 rad/sec

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Applied Mechanics and Graphic Statics
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

None of these
One-half of the total height above base
One-fourth of the total height above base
One-third of the total height above base

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(ii) and (iii)
(ii) and (iv)
(i) and (iv)
(i) and (iii)

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

gm.cm²
cm⁴
kg.cm²
gm.cm3

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