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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

3.14 m/sec
1.57 m/sec
1.00 m/sec
6.28 m/sec

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Applied Mechanics and Graphic Statics
If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is

g/4
g/2
g/5
g/3

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

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Applied Mechanics and Graphic Statics
Equation of motion of a point in a straight line, is

2fS = v² - u²
v = u + ft
S = ut + ½ ft²
All listed here

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/3) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]

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Applied Mechanics and Graphic Statics
The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

bh³/36
bh³/3
bh³/2
b³h/12

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