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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The motion of a particle is described by the relation x = t²- 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be

Zero
50 m
60 m
30 m

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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

0.50 cm
1.00 cm
0.75 cm
0.25 cm

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

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Applied Mechanics and Graphic Statics
A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is

75 m/sec
90 m/sec
80 m/sec
70 m/sec

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Applied Mechanics and Graphic Statics
If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

½ tan α
2 cos α
½ sin α
½ cos α

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Applied Mechanics and Graphic Statics
A rigid body is in a stable equilibrium if the application of any force

None of above
Tends to lower the CG of the body
Neither raises nor lowers the CG of the body
Can raise the CG of the body but cannot lower it

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