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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The centre of gravity of a quadrant of a circle lies along its central radius at a distance of

0.6 R
0.3 R
0.4 R
0.2 R

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

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Applied Mechanics and Graphic Statics
The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

11.26 km/sec, the satellite escapes the pull of the earth
All listed here
11.11 km/sec at a height of 37,400 km
8.04 km/sec at a height of 285 km

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Applied Mechanics and Graphic Statics
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

119.5 mm from A
109.5 mm from A
125.5 mm from A
132.5 mm from A

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Applied Mechanics and Graphic Statics
A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

E
2E
4E
E/2

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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

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

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