Question

1. Samer (ms = 75 kg) is sitting on the seat of a swing at the
playground. The seat is supported by two

cables, one on each side of the seat. (You may assume the seat
has negligible mass.)

A. Determine the tension in each cable due to Samer sitting on
the swing seat.

B. Given each cable has a diameter of 1 mm and each cable is
exactly 5 m long before Samer sits on the seat, determine the
length of each cable when Samer is sitting on the seat. (The cables
are made of aluminum for which Y = 70 GN/m2.)

Answer #1

The weight is supported by two cables. hence 2T =mg =>T = mg / 2

The tension in each cable is T = 367.5 N

The youngs modulus is then

Force = 367.5 N; Y = 70 G N/m2 = 70 x 109 N/m2; L = 5m;

diameter = 1mm then radius r = 5x10-4 m Hence A = r2 = 78.54 x 10-8 m2

The elongation e = 0.0334 m

The fin**al length of each cable is L + e = 5.03
m**

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