Determine the forces in strings, Mechanical Engineering

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Determine the forces in strings:

The Electric light fixture weighing 15N hangs from point C, by two strings AC and BC. AC is inclined at 60° to the horizontal and BC at 45° to the vertical as shown in figure given below, Determine the forces in strings AC and BC

1614_Determine the forces in strings.png

Sol.: First draw the free body digram of the electric light fixture, Apply lami's theorem at 'C'

T1/sin 150° = T2/sin 135° = 15/sin75°

T1 = 15.sin150°/ sin75°

T1 = 7.76N                                                     .......ANS

T2 = 15.sin135°/ sin75°

T2 = 10.98N                                                  .......ANS

 


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