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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to

f²
f
1/f²
1/f

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Applied Mechanics and Graphic Statics
A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes

4E
2E
E
E/2

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Applied Mechanics and Graphic Statics
If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is

1000 meters
2000 meters
1500 meters
500 meters

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Applied Mechanics and Graphic Statics
A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

E
E/2
2E
4E

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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
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(3/7) g sin 0
(5/7) g sin0
(1/3) g sin0
(2/5) g sin 0

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