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Calculate tensions in chain and chord - Mechanics:
A lamp of mass 1Kg is hung from the ceiling by a chain and is pulled aside by horizontal chord until the chain makes an angle of 60° with ceiling. Find out the tensions in chain and chord.
Sol.: Let,
Tchord = Tension in chord
Tchain = Tension in chain
W = weight of lamp = 1 × g = 9.81N
Consider point 'C', there are three force acting, so apply lamis theorem at 'C', as C is in equilibrium
Tchord/sin150° = Tchain/sin90° = 9.81/sin120° Tchord = 9.81 × sin150° /sin120°
Tchord = 5.65N .......ANS
Tchain = 9.81 × sin90° /sin120°
Tchain = 11.33N .......ANS
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