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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

43833
43834
43835
43832

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Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

8.88 m/sec
10.88 m/sec
5.88 m/sec
12.88 m/sec

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, theni. a force is required to move the body upwardsii. a force is required to move the body downwardiii. the body will not be in equilibriumThe correct answer is

both (i) and (ii)
both (i) and (iii)
only (i)
only (ii)

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Applied Mechanics and Graphic Statics
When two forces, each equal to P, act at 90° to each other, then the resultant will be

P
P/√2
P√2
2P

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Applied Mechanics and Graphic Statics
A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is

17° 48'
20° 48'
19° 48'
18° 48'

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Applied Mechanics and Graphic Statics
Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

Disc with smaller density
Both discs will have same rotational inertia
Disc with larger density
None of these

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