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

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Applied Mechanics and Graphic Statics
A rigid body is in a stable equilibrium if the application of any force

Neither raises nor lowers the CG of the body
Tends to lower the CG of the body
Can raise the CG of the body but cannot lower it
None of above

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Applied Mechanics and Graphic Statics
A projectile is fired at an angle ‘θ’ to the vertical. Its horizontal range will be maximum when ‘θ’ is

90°
0°
45°
30°

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Applied Mechanics and Graphic Statics
The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at

90°
30°
45°
60°

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

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A/2
A
A/√2
A√2

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