Solution Found!
The sphere of mass M and radius R in FIGURE P12.76 is
Chapter 12, Problem 12.123(choose chapter or problem)
The sphere of mass M and radius R in FIGURE P12.76 is rigidly attached to a thin rod of radius r that passes through the sphere at distance from the center. A string wrapped around the rod pulls with tension T. Find an expression for the spheres angular acceleration. The rods moment of inertia is negligible.
FIGURE P12.76
Questions & Answers
QUESTION:
The sphere of mass M and radius R in FIGURE P12.76 is rigidly attached to a thin rod of radius r that passes through the sphere at distance from the center. A string wrapped around the rod pulls with tension T. Find an expression for the spheres angular acceleration. The rods moment of inertia is negligible.
FIGURE P12.76
ANSWER:Step 1 of 3
The equation for the torque applied on the rod is as follows:
The equation for the torque on the system is as follows:
On solving equating (1) and (2),
