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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is
(i) 5000 Nm
(ii) 5000 kg.m
(iii) 5000 J

All (i), (ii) and (iii)
Both (i) and (iii)
Both (ii) and (iii)
Only (ii)

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

40 m/sec
50 m/sec
15 m/sec
25 m/sec

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Applied Mechanics and Graphic Statics
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

337.5 cm⁴
237.5 cm⁴
137.5 cm⁴
437.5 cm⁴

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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

Zero
60 m
50 m
30 m

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Applied Mechanics and Graphic Statics
The torque produced by a force depends on i. the magnitude of the force ii. the direction of the force iii. the point of application of the force relative to origin The correct answer is

both (i) and (iii)
all (i), (ii) and (iii)
only (i)
both (i) and (ii)

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Applied Mechanics and Graphic Statics
A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is

e4*
1
e2*
e*72

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