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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

60 m
50 m
Zero
30 m

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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

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

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

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Applied Mechanics and Graphic Statics
The forces which meet at one point and have their lines of action in different planes are called

Coplanar non-concurrent forces
Non-coplanar non-current forces
Intersecting forces
Non-coplanar concurrent forces

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Applied Mechanics and Graphic Statics
The tension in a cable supporting a lift

Is less when the lift is moving upwards
Is less when the lift is moving downwards
Remains constant whether its moves downwards or upwards
Is more when the lift is moving downwards

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Applied Mechanics and Graphic Statics
A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

gra/h
∛(gra/h)
√(gra/h)
4√(gra/h)

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