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Applied Mechanics and Graphic Statics

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

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Applied Mechanics and Graphic Statics
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

None of these
One-fourth of the total height above base
One-third of the total height above base
One-half of the total height above base

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Applied Mechanics and Graphic Statics
The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called

None of these
Angle of friction
Angle of inclination
Angle of repose

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Applied Mechanics and Graphic Statics
Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

Parallel
None of these
Concurrent
Concurrent parallel

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

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

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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

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

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