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 0 Neglect the size of the pulley at C. w, a 3 ft 5 ft B

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Question

Dynamics

 

Using Absolute motion method

**Description**

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 shows:

- A rotating disk with a radius of 5 ft.
- At point \( A \), a rod extends 3 ft above the disk.
- At point \( C \), the rod extends 5 ft horizontally to the right to hold cylinder \( B \).
- The angle \( \Theta \) is labeled, and the pulley at \( C \) is neglected in this scenario.
Transcribed Image Text:**Description** 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 shows: - A rotating disk with a radius of 5 ft. - At point \( A \), a rod extends 3 ft above the disk. - At point \( C \), the rod extends 5 ft horizontally to the right to hold cylinder \( B \). - The angle \( \Theta \) is labeled, and the pulley at \( C \) is neglected in this scenario.
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