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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

43833
43834
43832
43835

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Applied Mechanics and Graphic Statics
The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator

Northward
Westward
Eastward
Southward

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Applied Mechanics and Graphic Statics
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

237.5 cm⁴
437.5 cm⁴
337.5 cm⁴
137.5 cm⁴

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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

e4*
1
e2*
e*72

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ? i. 1.0 in from the wall ii. 1.732 m from the wall iii. 1.0 m above the floor iv. 1.732 m above the floor The correct answer is

(i) and (iii)
(ii) and (iv)
(i) and (iv)
(ii) and (iii)

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Applied Mechanics and Graphic Statics
The condition of equilibrium for any system of forces in a plane is

That resultant couple must be zero
Both (A) and (B)
None of these
That polygon of forces must close

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