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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

4 J
6 J
2 J
8 J

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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)

1/r
log r
r2
r

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then i. a force is required to move the body upwards ii. a force is required to move the body downward iii. the body will not be in equilibrium The correct answer is

only (i)
both (i) and (ii)
only (ii)
both (i) and (iii)

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Applied Mechanics and Graphic Statics
A retarding force on a body does not

Introduce the motion of the body
Change the motion of the body
Retard the motion of the body
None of these

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Applied Mechanics and Graphic Statics
A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is

20 sec
30 sec
15 sec
40 sec

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

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