Applied Mechanics and Graphic Statics
If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

T = g(M1 - M2)/(M1 + M2)
T = g(M2 - M1)/(M1 + M2)
T = g(M2 + M1)/(M2 - M1)
T = g(M1 + M2)/(M1 × M2)

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Applied Mechanics and Graphic Statics
The characteristic of a couple is:

Algebraic sum of moments of forces, constituting a couple, about any point, is same
Algebraic sum of forces, constituting a couple is zero
All listed here
A couple can be never the balanced by a single force

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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
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?

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

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