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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

2R/r1 + r2
R/r1 - r2
3R/r1 - r2
2R/r1

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Applied Mechanics and Graphic Statics
If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is

—rad/sec 20
—rad/sec 10
None of these
—rad/sec 30

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Applied Mechanics and Graphic Statics
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

½ l
l/√2
¾ l
2/√3 l

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Applied Mechanics and Graphic Statics
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is

4/5
3/4
3/5
5/3

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Applied Mechanics and Graphic Statics
One Newton force, is

10³ dynes
10⁵ dynes
10⁴ dynes
10⁶ dynes

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

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