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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

πd⁴/16
πd⁴/24
πd⁴/32
π/64 (D⁴ + d⁴)

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Applied Mechanics and Graphic Statics
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is

1.25 m/sec²
0.5 m/sec²
1.00 m/sec²
0.75 m/sec²

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Applied Mechanics and Graphic Statics
Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of

10 Newtons
5 Newtons
8 Newtons
12 Newtons

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

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Applied Mechanics and Graphic Statics
If two forces each equal to ‘T’ in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be

2 T
3 T
√2 T
1/2 T

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Applied Mechanics and Graphic Statics
Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

Disc with smaller density
Disc with larger density
None of these
Both discs will have same rotational inertia

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