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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

75°
30°
15°
45°

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Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

2P sin θ/2
2P cos θ/2
P tan θ/2
P cos θ/2

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Applied Mechanics and Graphic Statics
A quantity whose dimensions are M2L2T3 could be the product of

force and velocity
force and pressure
energy and velocity
mass and power

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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

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

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Applied Mechanics and Graphic Statics
The locus of the instantaneous centre of a moving rigid body, is

Spiral
Involute
Centroid
Straight line

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Applied Mechanics and Graphic Statics
A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are

1436.2 kN and 1500 kN
1346.3 kN and 1500 kN
1346.3 kN and 1250 kN
1436.2 kN and 1250 kN

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