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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Cartesian form of the equation of catenary is

y = c cosh x/c
y = c sin x/c
y = c sinh x/c
y = c tan x/c

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Applied Mechanics and Graphic Statics
Time period and length of a second’s pendulum respectively are

2 sec and 92.7 cm
1 sec and 99.4 cm
2 sec and 99.4 cm
1 sec and 92.7 cm

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Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

5 kgf, 3 kgf
2 kgf, 3 kgf
4 kgf, 5 kgf
3 kgf, 4 kgf

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Applied Mechanics and Graphic Statics
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

¾ l
½ l
2/√3 l
l/√2

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Applied Mechanics and Graphic Statics
Ball ‘A’ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘B’ on the table. If the impact is perfectly elastic, the velocity of the ball ‘B’ just after impact would be

10 m/sec
5 m/sec
Zero
None of these

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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 wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

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

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