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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

30 m
60 m
Zero
50 m

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Applied Mechanics and Graphic Statics
The length of a Second's pendulum, is

100 cm
99.0 cm
101 cm
99.4 cm

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Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

r
1/r
log r
r2

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Applied Mechanics and Graphic Statics
The frequency of oscillation on moon as compared to that on earth, will be

2.44 times less
3 times more
3 times less
2.44 times more

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Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be

4
2
3
5

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Applied Mechanics and Graphic Statics
A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

50 m/sec
40 m/sec
30 m/sec
20 m/sec

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