Multiple choice

An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this instant, the angular velocity and angular acceleration of link O2A are $\omega8red/s$ and$\alpha=0$, respectively, and the driving torque $(t)$ is zero. The link O2A is balanced so that its center of mass falls at O2.

At the instant considered, what is the magnitude of the angular velocity of O4B?

  1. 1 rad/s

  2. 3 rad/s

  3. 8 rad/s
  4. $\frac{64}{3}red/s$
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B Correct answer
Explanation

$\text{Let,w_4 is the angular velocity of link $O_4$B}\\ \text{From the triangle ABC,}\\ \hspace{2cm}tan\theta=\frac{100}{240}=\frac{5}{12}\hspace{6cm}...(i)\\ \theta=tan^{-1}(\frac{5}{12})=22.62^0 \\ \text{Also from the triangleO_1O_2A,}$

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