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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The condition of equilibrium for any system of forces in a plane is

None of these
That polygon of forces must close
That resultant couple must be zero
Both (A) and (B)

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Applied Mechanics and Graphic Statics
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

43835
43832
43833
43834

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

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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

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

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Applied Mechanics and Graphic Statics
A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

4√(gra/h)
∛(gra/h)
gra/h
√(gra/h)

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Applied Mechanics and Graphic Statics
To attain the synchronous orbit, the launch of a satellite, is done from a place

On 30° latitude
On the poles
On equator
On 45° latitude

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