C) Two simple pendulums with a string of 0.5 m long and a mass of 5 kg are attached to a horizontal spring with a spring constant k = 20 N/m and an acceleration of gravity g = 10 kg m/s², Determine: a.  Two normal frequencies.  b.  If at the initial time (t = 0) one object deviates by x1 = +5 mm and the second object is in a state of equilibrium, determine the solution to the equations of motion for each object.  c.  The deviation of the two objects at t = t = √7s.

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C) Two simple pendulums with a string of 0.5 m long and a mass of 5 kg are attached to a horizontal spring with a spring constant k = 20 N/m and an acceleration of gravity g = 10 kg m/s², Determine:
a.  Two normal frequencies. 
b.  If at the initial time (t = 0) one object deviates by x1 = +5 mm and the second object is in a state of equilibrium, determine the solution to the equations of motion for each object. 
c.  The deviation of the two objects at t = t = √7s. 

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