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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
Zero
50 m
30 m

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Applied Mechanics and Graphic Statics
Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by

5.5 kg
6.25 kg
8.75 kg
10.5 kg

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Applied Mechanics and Graphic Statics
A weight of 100 kg is supported by a string whose ends are attached to pegs ‘A’ and ‘B’ at the same level shown in below figure. The tension in the string is

120 kg
50 kg
100 kg
750 kg

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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

5 √10 m/sec
10 √5 m/sec
3 √5 m/sec
5 √3 m/sec

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Applied Mechanics and Graphic Statics
If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is

v = ω √(r² + y²)
y = ω √(y - r)
v = ω √(r² - y²)
v = ω √(y² - r²)

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Applied Mechanics and Graphic Statics
The point about which combined motion of rotation and translation of a rigid body takes place, is known as

Instantaneous centre
Virtual centre
Point of rotation
Instantaneous axis

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