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Applied Mechanics and Graphic Statics

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
2P sin θ/2
P cos θ/2
P tan θ/2

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Applied Mechanics and Graphic Statics
Minimum pull in a suspended cable with supports at two ends is equal to

Resultant of horizontal thrust and support reaction
Support reactions
Half the weight of the cable
Horizontal thrust

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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
(b² + bc + c²)/3 (b + c)
(a² + ab + c²)/3 (a + c)

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Applied Mechanics and Graphic Statics
A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

8 sec
20 sec
5 sec
10 sec

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

sin (α + β)/sin (α - β)
cos (α - β)/cos (α + β)
sin (α - β)/sin (α + β)
tan (α - β)/tan (α + β)

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Applied Mechanics and Graphic Statics
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is

24 m/sec
12 m/sec
48 m/sec
6 m/sec

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