Problem B1: If you spin duct tape attached to a string around in a vertical orientation, then the centripetal force will change along the path. Draw a free body diagram including all the forces on the duct tape at the four indicated locations (see dots on the figure below), then circle the radial forces. Example 5-13: A small ball of mass 𝑚, suspended by a cord of length 𝑙, revolves in a circle of radius 𝑟 = 𝑙 × 𝑆𝑖𝑛(𝜃) where 𝜃 is the angle the string makes with the vertical. (a) Draw a FBD on the ball. (b) In what direction is the acceleration of the ball, and what causes the acceleration? (c) calculate the speed and period (time required for one revolution) of the ball in terms of 𝑙, 𝜃, 𝑔 and 𝑚. Example 5-13 FBD with components 55.(II) Tarzan plans to cross a gorge by swinging in an arc from a hanging vine (Fig. 5–47). If his arms are capable of exerting a force of 1350 N on the rope, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 78 kg and the vine is 5.2 m long.
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