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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on

Two straight lines
A straight line
A triangle
A point

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

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Applied Mechanics and Graphic Statics
Equation of motion of a point in a straight line, is

All listed here
v = u + ft
2fS = v² - u²
S = ut + ½ ft²

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Applied Mechanics and Graphic Statics
In a simple harmonic motion, the position of equilibrium is always

Neutral
Stable
None of these
Unstable

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Applied Mechanics and Graphic Statics
A stone is whirled in a vertical circle, the tension in the string, is maximum

When the stone is at the highest position
When the stone is at the lowest position
When the string is horizontal
At all the positions

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/2) × [(2b + a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]

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