- #1
Torunn
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Homework Statement
A child is sitting on a wooden stick, hanging from a 3 m long blue rope,
attached to the top of a 4 m tall metal pole. The child is performing uniform
rotation around the pole, in such a way that the angle between pole and rope
is . The horizontal distance between child and pole is called r.
The centripetal acceleration resulting
from the combined forces of rope and gravity is given by
ac = g tan
where g = 9.80 m/s2 is the gravitational acceleration.
If the period of rotation is T = 3 s, what is:
a) What is the angle ? The speed of rotation? r ? The angular speed? The
centripetal acceleration?
Now the nasty big brother taunts the child into going faster and faster, and
keeps pushing him until his uniform motion has an angle with vertical of
= 60 degrees.
b) How fast is he now going, and what is the period of rotation? How high
up in the air is the child now zooming around?
As the helpless child is spinning overhead, the nasty big brother ducks underneath,
reaches up and cuts the rope with a hedge-trimmer.
c) How far does the child fly off before hitting the ground? You may assume
that the child has the initial height and speed computed in b).
Homework Equations
Can someone help me with a? don't know how to begin. I have found the angular speed but that's it.