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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

5
2
3
4

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

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

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Applied Mechanics and Graphic Statics
When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are

Circle and straight line
Straight line and parabola
Straight line and circle
Circle and parabola

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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 wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

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

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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

43894
43926
43895
43954

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Applied Mechanics and Graphic Statics
The practical units of work, is

Erg
Joule
Newton
Dyne

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