Tetherball. The figure to the right shows a ball of mass 200 g and radius of 17 cm, supported by a string of length 100 cm, resting against a frictionless vertical wall.
What is the angle between the string and the pole, in degrees?
To solve this problem, a free body diagram is required for:
- the string only
- the ball, the string and the pole
- the ball only
- the ball and the string
Draw the freebody diagram for the ball by clicking and dragging the tip of the vectors shown in the interactive graph. There are 3 forces present, the tension, the normal force, and the weight, you will be graded on the correct directions of the forces. After you submit your answers, the boxes below will fill in with the angles from the diagram, use this to check your answers (the box will be green if the angle is correct, or red if not).
Angle of W:
Angle of R:
Angle of T:
Using your FBD, separate the forces into their x and y components. Then use the equilibrium conditions, ̄∑Fx = 0, ∑Fy = 0 to determine the magnitude of the tension in the string (T), and the magnitude of the normal force (R), in Newtons.
return this question to its initial state