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Applied Mechanics and Graphic Statics

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
b³h/12
bh³/3
bh³/2

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

(1/3) g sinB
(2/3) g cos 9
(2/3) g sin 0
g sin 9

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Applied Mechanics and Graphic Statics
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is

48 m/sec
6 m/sec
12 m/sec
24 m/sec

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Applied Mechanics and Graphic Statics
‘P’ is the force acting on a body whose mass is ‘m’ and acceleration is ‘f’. The equation P - mf= 0, is known as

Equation of dynamic equilibrium
Equation of statics
None of these
Equation of dynamics

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Applied Mechanics and Graphic Statics
If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be

ω²/r
r/v²
r/ω²
v²/r

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Applied Mechanics and Graphic Statics
If two forces are in equilibrium, then the forces must(i) Be equal in magnitude(ii) Be opposite in sense(iii) Act along the same line

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

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