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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

n/2 rpm
2n rpm
n rpm
n/4 rpm

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Applied Mechanics and Graphic Statics
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is

1.25 m/sec²
0.5 m/sec²
0.75 m/sec²
1.00 m/sec²

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Applied Mechanics and Graphic Statics
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

137.5 cm⁴
437.5 cm⁴
237.5 cm⁴
337.5 cm⁴

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Applied Mechanics and Graphic Statics
The number of funicular polygons which can be drawn to pass through two specified points in the space diagram are

zero
1
2
infinity

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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

l/√2
¾ l
2/√3 l
½ l

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

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