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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)

43834
43833
43835
43832

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

1/3
4
1/4
3

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Applied Mechanics and Graphic Statics
Maximum efficiency of a screw jack for the angle of friction θ, is

(1 - sin θ)/sin θ
(1 - sin θ)/(1 + sin θ)
(1 + sin θ)/(1 - sin θ)
sin θ/(1 + sin θ)

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Applied Mechanics and Graphic Statics
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is

3/5
4/5
5/3
3/4

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Applied Mechanics and Graphic Statics
At the instantaneous center, the velocity of the moving lamina at any instant is

Minimum
Zero
Varying
Maximum

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Applied Mechanics and Graphic Statics
The centre of gravity of a quadrant of a circle lies along its central radius at a distance of

0.4 R
0.3 R
0.6 R
0.2 R

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