At the instant shown, the disk is rotating with an angular velocity of w = 2 rad/s and has an angular acceleration of a = 1 rad/s2. Determine the velocity and acceleration of cylinder B at = 45°. Neglect the size of the pulley at C. 3 ft 5ft

Elements Of Electromagnetics
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At the instant shown, the disk is rotating with an angular velocity of \( \omega = 2 \, \text{rad/s} \) and has an angular acceleration of \( a = 1 \, \text{rad/s}^2 \). Determine the velocity and acceleration of cylinder \( B \) at \( \Theta = 45^\circ \). Neglect the size of the pulley at \( C \).

**Diagram Explanation:**
The diagram depicts a mechanical setup involving a rotating disk with a radius of 3 ft. Point \( A \) on the rim is connected to point \( C \) via a rigid link, forming a right-angle triangle with point \( C \) and the center of the disk. The distance from point \( C \) to point \( B \), along a horizontal line, is 5 ft. The angle \( \Theta \) between the link \( AC \) and a horizontal line through the center of the disk is \( 45^\circ \). Cylinder \( B \) is positioned vertically below point \( C \).
Transcribed Image Text:At the instant shown, the disk is rotating with an angular velocity of \( \omega = 2 \, \text{rad/s} \) and has an angular acceleration of \( a = 1 \, \text{rad/s}^2 \). Determine the velocity and acceleration of cylinder \( B \) at \( \Theta = 45^\circ \). Neglect the size of the pulley at \( C \). **Diagram Explanation:** The diagram depicts a mechanical setup involving a rotating disk with a radius of 3 ft. Point \( A \) on the rim is connected to point \( C \) via a rigid link, forming a right-angle triangle with point \( C \) and the center of the disk. The distance from point \( C \) to point \( B \), along a horizontal line, is 5 ft. The angle \( \Theta \) between the link \( AC \) and a horizontal line through the center of the disk is \( 45^\circ \). Cylinder \( B \) is positioned vertically below point \( C \).
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