Calculate tensions in chain and chord - mechanics, Mechanical Engineering

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

1226_Calculate tensions in chain and chord.png

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°

Tchai  = 11.33N                 .......ANS

 

Posted Date: 10/16/2012 2:53:29 AM | Location : United States







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