Swinger
Solution:
a) Free body diagram
b) The net force acting on the object must be the xcomponent of tension, T_{x} , since it is clearly the only unbalanced force and it points towards the center of the circular path. Furthermore the value of T_{y} must equal the value of weight, W, since the object is in translational equilibrium vertically. Writing these two statements yields the following,
The value of T can be calculated since , m, and g are all known quantities,
We can now easily calculate the magnitude of the net force, T_{x}
c) The period of revolution can now be determined given the value of the net force (which is the centripetal force) calculated above,
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