Question
A 45.7-kg boy on a swing moves in a circular arc of radius 3.80 m.At the lowest position, the child's speed reaches 2.78 m/s. Determine the magnitude of the tension in each of the two vertical support chains
Answers
drwls
If he sits in the middle of the swing, the tension force on each support chain will be equal. Call it T.
At the lowest position,
2T - weight = centripetal force
= M V^2/R.
2T = M*(g + V^2/R)
Solve for T.
M = 45.7 kg
R = 3.80 m
V = 2.78 m/s
g = 9.80 m/s^2
At the lowest position,
2T - weight = centripetal force
= M V^2/R.
2T = M*(g + V^2/R)
Solve for T.
M = 45.7 kg
R = 3.80 m
V = 2.78 m/s
g = 9.80 m/s^2
j
2.7