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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

15°
75°
45°
30°

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Applied Mechanics and Graphic Statics
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Both (A) and (C)
Always reduce to a couple
Always reduce to a resultant force
Be in equilibrium

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Applied Mechanics and Graphic Statics
The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

P = R
P = Q
None of these
Q = R

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Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(1/3) g sin0
(2/5) g sin 0
(5/7) g sin0
(3/7) g sin 0

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Applied Mechanics and Graphic Statics
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

64 J
464 J
89 J
400 J

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Applied Mechanics and Graphic Statics
A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

5 sec
10 sec
20 sec
8 sec

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