A family decides to create a tire swing in their backyard for their son Ryan. They tie a nylon rope to a branch that is located 16 m above the Earth, and adjust it so that the tire swings 1 m above the ground. 16 m ho= 13 m To make the swing more exciting, and so they don't have to push Ryan all the time, they construct a launch point that is 13 m above the ground. You are their neighbor, and you are concerned that the swing might not be safe, so you calculate the maximum tension (Tmax) in the rope to see if it will hold, assuming that Ryan starts from rest from his launch pad. Is it greater than the rated value of the rope (800 N)? (Neglect the mass of the rope.) Ryan's mass: m = 30 kg Mass of tire: m = 5 kg + Part 8 of 11 Find an expression for Tmax in terms of VB and other given quantities. Which of the following expressions is correct? (Hint: Magnitude of centripetal acceleration: -and R is the radius of the circular path of the swing.) | Tmax = (Mg + m) (V + 9) Tmax (mg- - m) ( - g) Tmax (M+ + m) (VR - 9) Correct. Fy-Tmax (mg + ms) g = (ma+ mt) ac Tmax (mg + my) g (mg + my) | +) () Tmax= (ma+ my) () + (m + my) 9 Tmax= (mg + my) (+9) Part 9 of 11 What is the value (in N) of Tmax? N Is the swing safe for Ryan if the rope will break at a tension of 800 N? Submit Yes, the swing is safe for Ryan. No, the swing is not safe for Ryan. There is not enough information to determine Ryan's safety. Skip (you cannot come back)