A 1.50 kg solid, uniform sphere of radius 0.140 m is released from rest at point A in the figure below, its center of gravity a distance of 1.60 m above the ground. The sphere rolls without slipping to the bottom of an incline and back up to point B where it is launched vertically into the air. The sphere then rises to its maximum height hmay at point C. HINT V = 0 C A 1.60 m hmax T0.400 m (a) At point B, find the sphere's translational speed ve (in m/s). x m/s (b) At point B, find the sphere's rotational speed @. (in rad/s). rad/s (c) At point C, find the sphere's rotational speed o, (in rad/s). rad/s (d) At point C, find the maximum height hmay of the sphere's center of gravity (in m).
A 1.50 kg solid, uniform sphere of radius 0.140 m is released from rest at point A in the figure below, its center of gravity a distance of 1.60 m above the ground. The sphere rolls without slipping to the bottom of an incline and back up to point B where it is launched vertically into the air. The sphere then rises to its maximum height hmay at point C. HINT V = 0 C A 1.60 m hmax T0.400 m (a) At point B, find the sphere's translational speed ve (in m/s). x m/s (b) At point B, find the sphere's rotational speed @. (in rad/s). rad/s (c) At point C, find the sphere's rotational speed o, (in rad/s). rad/s (d) At point C, find the maximum height hmay of the sphere's center of gravity (in m).
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...
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