Applied Mechanics and Graphic Statics
A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

Sphere with greater rotational energy at bottom than cylinder
Sphere with lesser rotational energy at bottom than cylinder
Both reach the bottom simultaneously with equal rotational energy at bottom
Cylinder with greater rotational energy at bottom than sphere

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Applied Mechanics and Graphic Statics
A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

[r (π - 0.25)]/(π - 0.5)
[r (π + 0.25)]/(π + 0.5)
[r (π + 0.25)]/(π - 0.5)
[r (π - 0.5)]/(π + 0.25)

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Applied Mechanics and Graphic Statics
Kinetic friction may be defined as

Friction force acting when the body is in motion
Friction force acting when the body is just about to move
Angle between normal reaction and resultant of normal reaction and limiting friction
Ratio of limiting friction and normal reaction

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