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Example

Example. Consider a beam of Length L , mass m , and moment of inertia (COM) of 1/2mL 2 . It is pinned to a hinge on one end. Determine the beam's angular acceleration. Let’s first look at the beam’s F.B.D.

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Example

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  1. Example Consider a beam of Length L, mass m, and moment of inertia (COM) of 1/2mL2. It is pinned to a hinge on one end. Determine the beam's angular acceleration. Let’s first look at the beam’s F.B.D. There are always vertical and horizontal forces on the pinned end against the hinge holding it to the wall. However, those forces ACT at the point of rotation. FH mg Fv

  2. 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

  3. 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

  4. Example cont’ T FN a mhg T mpg

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