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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Which of the following is a scalar quantity?

Impulse
Momentum
Torque
Energy

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

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

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Applied Mechanics and Graphic Statics
The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at

Mid span
Quarter span
Supports
None of these

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Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

√(P² + Q² + 2PQ cos θ)
P² + Q² + 2PQ tan θ
P² + Q² + 2P sin θ
P² + Q² + 2PQ cos θ

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Applied Mechanics and Graphic Statics
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

464 J
64 J
400 J
89 J

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