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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A projectile is fired at an angle ‘θ’ to the vertical. Its horizontal range will be maximum when ‘θ’ is

90°
0°
30°
45°

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Applied Mechanics and Graphic Statics
Cartesian form of the equation of catenary is

y = c tan x/c
y = c cosh x/c
y = c sinh x/c
y = c sin x/c

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Applied Mechanics and Graphic Statics
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Both (A) and (C)
Always reduce to a resultant force
Be in equilibrium
Always reduce to a couple

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Applied Mechanics and Graphic Statics
From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

1.00 cm
0.50 cm
0.75 cm
0.25 cm

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Applied Mechanics and Graphic Statics
A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

2 J
4 J
8 J
6 J

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

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