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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The point about which combined motion of rotation and translation of a rigid body takes place, is known as

Point of rotation
Instantaneous centre
Virtual centre
Instantaneous axis

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Applied Mechanics and Graphic Statics
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

π/64 (D⁴ + d⁴)
π/32 (D⁴ - d⁴)
π/32 (D⁴ + d⁴)
π/32 (D⁴ × d⁴)

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

43834
3
4
43833

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Applied Mechanics and Graphic Statics
A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is

e2*
1
e4*
e*72

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, theni. a force is required to move the body upwardsii. a force is required to move the body downwardiii. the body will not be in equilibriumThe correct answer is

only (ii)
both (i) and (ii)
both (i) and (iii)
only (i)

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

cos (α - β)/cos (α + β)
sin (α - β)/sin (α + β)
tan (α - β)/tan (α + β)
sin (α + β)/sin (α - β)

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