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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be

0.1 rad/sec
100 rad/sec
10 rad/sec
1 rad/sec

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Applied Mechanics and Graphic Statics
If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is

57°
59°
60°
58°

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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

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

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Applied Mechanics and Graphic Statics
A train weighing 196 tonnes experiences a frictional resistance of 5(11/22) per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is

10 √5 m/sec
5 √3 m/sec
3 √5 m/sec
5 √10 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 sin α
½ tan α
2 cos α
½ cos α

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Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are:

2 m/sec and 2 m/sec
4 m/sec and 6 m/sec
3 m/sec and 3 m/sec
3 m/sec and 2 m/sec

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