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Engineering and Tech / Engineering Mechanics Dynamics (1) 1 14 / Chapter 19 / Problem 19-39

Engineering Mechanics Dynamics (1) 1 | 14th Edition | ISBN: 9780133915389 | Authors: Russell C. Hibbeler

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The 12-kg rod AB is pinned to the 40-kg disk. If the disk is given an angular velocity

Chapter 19, Problem 19-39

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QUESTION:

The 12-kg rod AB is pinned to the 40-kg disk. If the disk is given an angular velocity \(\omega_{D} = 100 \ rad/s\) while the rod is held stationary, and the assembly is then released, determine the angular velocity of the rod after the disk has stopped spinning relative to the rod due to frictional resistance at the bearing B. Motion is in the horizontal plane. Neglect friction at the pin A.

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QUESTION:

The 12-kg rod AB is pinned to the 40-kg disk. If the disk is given an angular velocity \(\omega_{D} = 100 \ rad/s\) while the rod is held stationary, and the assembly is then released, determine the angular velocity of the rod after the disk has stopped spinning relative to the rod due to frictional resistance at the bearing B. Motion is in the horizontal plane. Neglect friction at the pin A.

ANSWER:

Problem 19-39

The 12-kg rod AB is pinned to the 40-kg disk. If the disk is given an angular velocity vD = 100 rad>s while the rod is held stationary, and the assembly is then released, determine the angular velocity of the rod after the disk has stopped spinning relative to the rod due to frictional resistance at the bearing B. Motion is in the horizontal plane. Neglect friction at the pin A.

Step by Step Solution

Step 1 of 2

Applying the conservation of angular momentum about A

(1)

The moment of inertia is equivalent to because the rod is stationary and can be calculated as follows,

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