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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If the angular distance, 0 = 2t³ ‑ 3t², the angular acceleration at t = 1 sec. is

6 rad/sec²
4 rad/sec²
12 rad/sec²
1 rad/sec²

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Applied Mechanics and Graphic Statics
If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is

None of these
Maximum
Zero
Minimum

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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

1/4
1/3
3
4

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Applied Mechanics and Graphic Statics
The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

All listed here
11.11 km/sec at a height of 37,400 km
8.04 km/sec at a height of 285 km
11.26 km/sec, the satellite escapes the pull of the earth

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Applied Mechanics and Graphic Statics
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

5 and 5√3 m/sec
0 and 5 m/sec
5 m/sec and 0
5√3 m/sec and 0

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ? i. 1.0 in from the wall ii. 1.732 m from the wall iii. 1.0 m above the floor iv. 1.732 m above the floor The correct answer is

(i) and (iv)
(i) and (iii)
(ii) and (iii)
(ii) and (iv)

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