A tetherball leans against the smooth, frictionless post to which it is attached

Question

A tetherball leans against the smooth, frictionless post to which it is attached. (See the figure) The string is attached to the ball such that a line along the string passes through the center of the ball. The string is 1.20m long and the ball has a radius of 0.130m with mass 0.400kg

Part A: What is the tension in the rope?

Part B: What is the force the pole exerts on the ball?

A tetherball leans against the smooth, frictionless post to which it is attached. (See the figure) The string is attached to the ball such that a line along the string passes through the center of the ball. The string is 1.20m long and the ball has a radius of 0.130m with mass 0.400kg Part A: What is the tension in the rope? Part B: What is the force the pole exerts on the ball?

Explanation / Answer

angel of string with horizontal =theta

then
(1.2+0.13) cos thet a = 0.13

theta = 87.4 degrees

then

T sin87.4 = 0.4*9.8
T = 3.92 N

T cos 87.4 - N = 0

N = force on ball = 0.178 N

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