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

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Applied Mechanics and Graphic Statics
A body of weight ‘w’ placed on an inclined plane is acted upon by a force ‘P’ parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘θ’ and angle of friction is ‘φ’, the minimum value of ‘P’, is

w sin (θ - φ)/cos φ
w sinθ cos(θ - φ)/sin φ
w sin (φ - θ)/cos φ
w cos (θ + φ)/cos φ

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Applied Mechanics and Graphic Statics
A point subjected to a number of forces will be in equilibrium, if

Algebraic sum of the forces is zero
Algebraic sum of the moments of the forces about the point is zero
Two resolved parts in any two directions at right angles are equal
Sum of resolved parts in any two directions at right angles, are both zero

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