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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by

6.25 kg
10.5 kg
8.75 kg
5.5 kg

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Applied Mechanics and Graphic Statics
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

P sin θ/P - Q cos θ
P sin θ/P + Q tan θ
Q sin θ/P + Q cos θ
Q sin θ/P + Q sin θ

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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 + c²)/3 (a + c)
(b² + bc + c²)/3 (b + c)
(a² + ab + b²)/3 (a + b)
None of these

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of Applied Mechanics and Graphic Statics mcq question image

(h/3) × [(b + 2a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]

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Applied Mechanics and Graphic Statics
Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is

375 m
425 m
400 m
350 m

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Applied Mechanics and Graphic Statics
Minimum potential energy of a system will be in the position of

Stable equilibrium
All of these
Neutral equilibrium
Unstable equilibrium

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