The linkage consists of two 8-lb rods AB and CD and a 10-lb bar AD. When u = 0, rod AB

Chapter 18, Problem 18-35

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QUESTION:

The linkage consists of two 8-lb rods AB and CD and a 10-lb bar AD. When \(\theta = 0^{\circ}\), rod AB is rotating with an angular velocity \(\omega_{AB} = 2 \ rad/s\). If rod CD is subjected to a couple moment \(M = 15 \ lb \cdot ft\) and bar AD is subjected to a horizontal force P = 20 lb as shown, determine \(\omega_{AB}\) at the instant \(\theta = 45^{\circ}\).

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QUESTION:

The linkage consists of two 8-lb rods AB and CD and a 10-lb bar AD. When \(\theta = 0^{\circ}\), rod AB is rotating with an angular velocity \(\omega_{AB} = 2 \ rad/s\). If rod CD is subjected to a couple moment \(M = 15 \ lb \cdot ft\) and bar AD is subjected to a horizontal force P = 20 lb as shown, determine \(\omega_{AB}\) at the instant \(\theta = 45^{\circ}\).

ANSWER:

Step 1 of 6

First we will draw the free body diagram of the linkage.

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