A 4.6-kg metal ball of radius 30 cm is attached by a string of length 50 cm at its center to a vertical wall. The coefficient of friction between the wall and the ball is 0.20. Determine the tension on the string.
The situation can be visualized by
The free-body diagram for the ball is
From the first diagram
That gives us
Now, at equilibrium
And
That gives us
Putting in the first equation
So, the tension in the string is 49 N.
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