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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

Zero
60 m
30 m
50 m

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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/4y
wl/2y
wl/8y

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

43833
3
4
43834

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Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

2P cos θ/2
P cos θ/2
P tan θ/2
2P sin θ/2

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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

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

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Applied Mechanics and Graphic Statics
To double the period of oscillation of a simple pendulum

Its length should be doubled
The mass of its bob should be quadrupled
The mass of its bob should be doubled
Its length should be quadrupled

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