Solved: The pendulum consists of a 10-kg uniform disk and

Problem 18-15

The pendulum consists of a 10-kg uniform disk and a 3-kg uniform slender rod. If it is released from rest in the position shown, determine its angular velocity when it rotates clockwise 90.

                                                                  Step by Step Solution

Step 1 of 4

kinetic energy

Since the pendulum starts from rest, the kinetic energy at position 1 is zero, and the rotational kinetic energy at position 2 is

Where

  is the mass of the disk,

  is the radius of the disk ,

 is the distance from the center of disk to point A ,

  is the rod mass ,

 is the length of the rod , and

  is the distance from the center of the rod to point A