A child’s indoor swing consists of a rope of length L anchored to the ceiling, with a seat at the lower end. The total mass of child and seat is m. They swing in a horizontal circle with constant speed v, as shown in Fig. 6-2; as they swing around, the rope makes a constant angle 0 with the vertical. Assuming the time τ for one revolution (i.e., the period) is known, find the tension T in the rope and the angle θ.
The Attempt at a Solution
I decided the force from the child on the swing would be Ftotal=( ƩF=mg and ƩF=mac=m(v2/r)).
And the tension of the line is Ty= Ftotal cosθ and Tx= Ftotal sinθ
And, rearranging this equation would give me θ if I so desired.
Am I doing this right??
Thanks for help