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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

A straight line
A triangle
A point
Two straight lines

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

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Applied Mechanics and Graphic Statics
A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

None of these
More than that of BC
Equal to that on BC
Less than that on BC

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Applied Mechanics and Graphic Statics
Minimum potential energy of a system will be in the position of

Stable equilibrium
Neutral equilibrium
Unstable equilibrium
All of these

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Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are

3 kg and 5 kg
√3 kg and √5 kg
1 kg and 4 kg
2 kg and 3 kg

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Applied Mechanics and Graphic Statics
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is

1.00 m/sec²
0.75 m/sec²
0.5 m/sec²
1.25 m/sec²

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