Answer: A uniform rod of mass M and length can pivot

Chapter 8, Problem 78GP

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QUESTION:

A uniform rod of mass  and length  can pivot freely (i.e., we ignore friction) about a hinge attached to a wall, as in Fig. . The rod is held horizontally and then released. At the moment of release, determine  the angular acceleration of the rod, and  the linear acceleration of the tip of the rod. Assume that the force of gravity acts at the center of mass of the rod, as shown. [Hint: See Fig.

                        

                        

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QUESTION:

A uniform rod of mass  and length  can pivot freely (i.e., we ignore friction) about a hinge attached to a wall, as in Fig. . The rod is held horizontally and then released. At the moment of release, determine  the angular acceleration of the rod, and  the linear acceleration of the tip of the rod. Assume that the force of gravity acts at the center of mass of the rod, as shown. [Hint: See Fig.

                        

                        

ANSWER:

Solution 78GP

Step 1 of 3

We are required to find  the angular acceleration of the rod and the linear acceleration of the tip of the rod.

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