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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

30°
75°
15°
45°

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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)

r
log r
r2
1/r

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Applied Mechanics and Graphic Statics
If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by

g2
g1/g2
g1
g2/g1

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Applied Mechanics and Graphic Statics
Impulse can be obtained from a

Velocity-displacement diagram
Force-time diagram
Velocity-time diagram
Force-displacement diagram

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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, theni. a force is required to move the body upwardsii. a force is required to move the body downwardiii. the body will not be in equilibriumThe correct answer is

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

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Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(5/7) g sin0
(3/7) g sin 0
(2/5) g sin 0
(1/3) g sin0

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