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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The acceleration of a train starting from rest at any instant is 1/6(V + 1) m/sec² where ‘V’ is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of

2200 m
2300 m
2000 m
2100 m

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Applied Mechanics and Graphic Statics
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

0 and 5 m/sec
5√3 m/sec and 0
5 m/sec and 0
5 and 5√3 m/sec

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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
18.0 J
9.0 J
12.0 J

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Applied Mechanics and Graphic Statics
M.I. of solid sphere, is

½ Mr²
πr4/2
⅔ Mr²
Mr²

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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)

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

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Applied Mechanics and Graphic Statics
If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

T = g(M2 - M1)/(M1 + M2)
T = g(M2 + M1)/(M2 - M1)
T = g(M1 - M2)/(M1 + M2)
T = g(M1 + M2)/(M1 × M2)

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