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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

To be zero
To be maximum
To be minimum
None of these

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

(2/3) g sin 0
(1/3) g sinB
(2/3) g cos 9
g sin 9

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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

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

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Applied Mechanics and Graphic Statics
The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

P = Q
None of these
P = R
Q = R

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Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

log r
1/r
r
r2

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Applied Mechanics and Graphic Statics
The tension in a cable supporting a lift

Remains constant whether its moves downwards or upwards
Is more when the lift is moving downwards
Is less when the lift is moving downwards
Is less when the lift is moving upwards

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