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Engineering Mechanics

Engineering Mechanics
The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is

mr²/3
3mr²/5
2mr²/3
2mr²/5

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Engineering Mechanics
The moment of inertia of a thin rod of mass 'm' and length 'l', about an axis through its centre of gravity and perpendicular to its length is

ml2/12
ml2/4
ml2/ 6
ml2/8

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Engineering Mechanics
The velocity ratio of a single purchase crab winch can be increased by

Increasing the radius of the load drum
All of these
Increasing the length of the handle
Increasing the number of teeth of the pinion

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Engineering Mechanics
A body of weight 'W' is required to move up on rough inclined plane whose angle of inclination with the horizontal is 'α'. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

P = W (cosα + μsinα)
P = W tanα
P = W tan (α + φ)
P = W (sinα + μcosα)

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Engineering Mechanics
A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of

3 m
2 m
1 m
4 m

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Engineering Mechanics
The centre of gravity of a right circular solid cone is at a distance of _________ from its base, measured along the vertical axis.(where h = Height of a right circular solid cone.)

h/6
h/4
h/3
h/2

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