Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is

22.5 kg
19.5 kg
25 kg
17.5 kg

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

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

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Applied Mechanics and Graphic Statics
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation

ω² (l sin ϕ - r cos θ tan ϕ)
ω (l sin ϕ + r cos ϕ tan θ)
ω² (l cos ϕ + r sin ϕ tan θ)
ω² (l sin ϕ + r cos φ tan θ)

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