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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

P cos θ/2
2P cos θ/2
2P sin θ/2
P tan θ/2

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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

110 kg
105.5 kg
102.5 kg
108.5 kg

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Applied Mechanics and Graphic Statics
The pole distance is measured in

distance scale
force scale
time scale
mass scale

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Applied Mechanics and Graphic Statics
A cube on a smooth horizontal surface

Cannot be in neutral equilibrium
Cannot be in unstable equilibrium
Cannot be in stable equilibrium
Can be in any of these states

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Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl²/8d
wl/4d
wl²/4d
wl²/16d

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Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (1/3) tan 0
less than (1/3) sin 6
less than (2/3) tan 0
less than (2/3) sin 6

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