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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A quantity whose dimensions are M2L2T3 could be the product of

mass and power
energy and velocity
force and pressure
force and velocity

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

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Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

108.5 kg
110 kg
105.5 kg
102.5 kg

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Applied Mechanics and Graphic Statics
If y is force and x is velocity, then dimensions of —=r are dx2

M’L-‘T0
M2L’T3
M’L-‘T1
M’^T’

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Applied Mechanics and Graphic Statics
A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is

2 cm
3 cm
4 cm
5 cm

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

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