Question

A man is running with a horizontal velocity along level ground. While running, he encounters a 2.21 m vine of negligible mass; the vine was hanging vertically from a tall tree limb and the end of the vine is directly level with his center mass. The man decides to grab the vine and swing, because he loves experiencing uniform circular motion. At the maximum height, he takes a mental note that the angle the vine makes with the vertical is 19 degrees. Ignore any elastic properties the vine may have.

a) At the instant the man grabs the vine, he is undergoing circular motion. Identify the external force on the man that is supplying the centripetal force for his motion.

b) Determine the man's centripetal acceleration.

c) Determine the magnitude of the external force identified above, at the beginning of the swing.

Answer 1