Given : The sphere, which is a rest, of mass m is attached by a wire and a strin
ID: 1857762 • Letter: G
Question
Given:
The sphere, which is a rest, of mass m is attached by a wire and a string as shown in the figure. The length of the wire is L. Initially, the wire makes an angle of theta to the vertical. Assume that the ratio of the sphere radius to the wire length L is very small, and also assume that the terms m, theta, and L are known.
Find:
a) The free body diagram (FBD) of the sphere as shown.
b) The tension in the wire as shown.
c) The free body diagram (FBD) of the sphere AFTER THE STRING IS CUT.
d) The tension in the wire AFTER THE STRING IS CUT.
Explanation / Answer
T along the wire, F from the sright to the right and mg down
b) sum forces in the y
T cos theta - mg = 0
T = mg/( cos theta)
c) now the ball will move
sum forces into the circle = mv^2/r
but ball hasnt moved yet so v = 0
T - mg cos theta = 0
T = mg cos theta
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