8 A 25kg child sits on a rope swing. The rope has a length of L = 3m. The swing is moved so that it starts with an angle of 0 = 20°, and is released from rest. Looking at the image, the y direction will remained aligned with the string throughout its path. In this case, the acceleration in the y direction is always equal to v²/L, where v is the speed of the child. a. As soon as the swing is released, there is no acceleration in the y direction because the initial speed is 0. Calculate the acceleration in the a direction. (Draw a free body diagram, etc.) b. When the swing is at its lowest point, the swing will be moving with a speed of v = 1.88m/s. Calculate the force that the rope exerts on the swing when the swing is at its lowest point. (Draw another free body diagram, etc.)
8 A 25kg child sits on a rope swing. The rope has a length of L = 3m. The swing is moved so that it starts with an angle of 0 = 20°, and is released from rest. Looking at the image, the y direction will remained aligned with the string throughout its path. In this case, the acceleration in the y direction is always equal to v²/L, where v is the speed of the child. a. As soon as the swing is released, there is no acceleration in the y direction because the initial speed is 0. Calculate the acceleration in the a direction. (Draw a free body diagram, etc.) b. When the swing is at its lowest point, the swing will be moving with a speed of v = 1.88m/s. Calculate the force that the rope exerts on the swing when the swing is at its lowest point. (Draw another free body diagram, etc.)
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter7: Rotational Motion And The Law Of Gravity
Section: Chapter Questions
Problem 12CQ: A child is practicing for a BMX race. His speed remains constant as he goes counterclockwise around...
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