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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is

3 cm
2 cm
4 cm
5 cm

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/4 - β/2
α = π/4 - β/2
α = π/2 + β/2
α = β/2 - π/2

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Applied Mechanics and Graphic Statics
A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

4000 watts
400 watts
500 watts
None of these

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Applied Mechanics and Graphic Statics
A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

4.5 J
12.0 J
18.0 J
9.0 J

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Applied Mechanics and Graphic Statics
A rigid body is in a stable equilibrium if the application of any force

Can raise the CG of the body but cannot lower it
None of above
Tends to lower the CG of the body
Neither raises nor lowers the CG of the body

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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)

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

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