If the uniform 30@kg slender rod starts from rest at the

Problem F18-4

If the uniform 30@kg slender rod starts from rest at the position shown, determine its angular velocity after it has rotated 4 revolutions. The forces remain perpendicular to the rod.

                                                           Step by Step Solution

 Step 1 of 3

First we consider the principle of work and energy (see equation 1)

   (1)

Then we proceed to define each term of equation 1 . Note that  is the moment of inertia of the wheel . It is also important to remark that since the wheel is moving in a horizontal plane, then its weight does no work

       (2)

          (3)

      (4)