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Applied Mechanics and Graphic Statics

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

8.75 kg
10.5 kg
6.25 kg
5.5 kg

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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
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
3 √5 m/sec
5 √3 m/sec
10 √5 m/sec

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Applied Mechanics and Graphic Statics
The unit of moments in M.K.S system, is

kg/sec2
kg/sec
kg/m2
kg.m

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Applied Mechanics and Graphic Statics
If two forces each equal to ‘T’ in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be

√2 T
2 T
3 T
1/2 T

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Applied Mechanics and Graphic Statics
If ‘α’ is the angular acceleration of a compound pendulum whose angular displacement is ‘θ’, the frequency of the motion is

4π √(α/θ)
2π √(α - θ)
2π √(α/θ)
(1/2π) √(α/θ)

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