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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
For a given velocity of a projectile, the range is maximum when the angle of projection is

90°
45°
0°
30°

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Applied Mechanics and Graphic Statics
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is

24 m/sec
12 m/sec
48 m/sec
6 m/sec

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Applied Mechanics and Graphic Statics
If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be

5 rad/sec
20 rad/sec
10 rad/sec
20 rad/sec

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Applied Mechanics and Graphic Statics
A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:

40 g
100 g
80 g
60 g

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Applied Mechanics and Graphic Statics
A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is

0.57
0.44
0.33
0.67

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/2) × [(b + 2a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]

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