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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
For maximum range of a projectile, the angle of projection should be

60°
30°
None of these
45°

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Applied Mechanics and Graphic Statics
If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is

y = ω √(y - r)
v = ω √(y² - r²)
v = ω √(r² - y²)
v = ω √(r² + y²)

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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
When two forces, each equal to P, act at 90° to each other, then the resultant will be

P√2
2P
P/√2
P

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

(2/3) g sin 0
g sin 9
(1/3) g sinB
(2/3) g cos 9

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Applied Mechanics and Graphic Statics
An ordinate in a funicular polygon represents

Equilibrium
Resultant force
Bending moment
Shear force

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