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Example

Example. Consider a hanging mass wrapped around a MASSIVE pulley. The hanging mass has weight, mg , the mass of the pulley is m p , the radius is R , and the moment of inertia about its center of mass I cm = 1/2m p R 2 . (assuming the pulley is a uniform disk). Determine the

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Example

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  1. Example Consider a hanging mass wrapped around a MASSIVE pulley. The hanging mass has weight, mg, the mass of the pulley is mp, the radius is R, and the moment of inertia about its center of mass Icm = 1/2mpR2. (assuming the pulley is a uniform disk). Determine the acceleration of the hanging mass. Let’s first look at the F.B.D.s for both the pulley and hanging mass T FN T mhg mpg

  2. Example cont’ T FN a mhg T mpg

  3. Example A trickier problem: Calculate the acceleration of the system: Assume m1 is more massive than m2 What you have to understand is that when the PULLEY is massive you cannot assume the tension is the same on both sides. Let’s first look at the F.B.D.s for both the pulley and the hanging masses. T1 FN T2 T2 T1 m1g m2g mpg

  4. Example cont’ T2 T1 m2g m1g FN T2 T1 mpg

  5. Example

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