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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan"1 x, where x is (Assume g = 10 m/sec²)

43959
43898
44079
43832

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Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl²/8d
wl²/4d
wl/4d
wl²/16d

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Applied Mechanics and Graphic Statics
The torque produced by a force depends oni. the magnitude of the forceii. the direction of the forceiii. the point of application of the force relative to originThe correct answer is

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

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Applied Mechanics and Graphic Statics
If the angular distance, 0 = 2t³ ‑ 3t², the angular acceleration at t = 1 sec. is

12 rad/sec²
4 rad/sec²
6 rad/sec²
1 rad/sec²

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Applied Mechanics and Graphic Statics
A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is

18° 48'
17° 48'
20° 48'
19° 48'

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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)

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

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