Disk A rotates about the fixed axis at Point O at an angular velocity of 4.00 rad/s counterclockwise and an angular acceleration of 6.00 rad/s2 clockwise. Disk B is connected to Disk A with a frictionless pin. At the position shown, Disk B has an angular velocity of 12.0 rad/s counterclockwise and an angular acceleration of 20.0 rad/s2 counterclockwise. Calculate the magnitude and direction of the translational acceleration vector of Point Q, which is on Disk B. **Problem Description:**Disk \( A \) rotates about the fixed axis at Point \( O \) at an angular velocity of \( 4.00 \, \text{rad/s} \) counterclockwise and an angular acceleration of \( 6.00 \, \text{rad/s}^2 \) clockwise. Disk \( B \) is connected to Disk \( A \) with a frictionless pin. At the position shown, Disk \( B \) has an angular velocity of \( 12.0 \, \text{rad/s} \) counterclockwise and an angular acceleration of \( 20.0 \, \text{rad/s}^2 \) counterclockwise. Calculate the magnitude and direction of the translational acceleration vector of Point \( Q \), which is on Disk \( B \).**Diagram Explanation:**The diagram shows:- Disk \( A \) with a radius of \( 10 \, \text{cm} \) rotating about Point \( O \).- Disk \( B \) is attached to the edge of Disk \( A \) with a pin, allowing it to rotate independently.- Point \( Q \) is located on Disk \( B \), \( 4 \, \text{cm} \) from the center of Disk \( B \).- The distance from the center of Disk \( A \) to the center of Disk \( B \) is \( 6 \, \text{cm} \).**Objective:**Calculate the translational acceleration vector of Point \( Q \). The task involves using the given angular velocities and accelerations of both disks to determine the resultant linear acceleration at Point \( Q \).

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Answered: Disk A rotates about the fixed axis at…

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

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Disk A rotates about the fixed axis at Point O at an
angular velocity of 4.00 rad/s counterclockwise and
an angular acceleration of 6.00 rad/s2 clockwise.
Disk B is connected to Disk A with a frictionless pin.
At the position shown, Disk B has an angular
velocity of 12.0 rad/s counterclockwise and an
angular acceleration of 20.0 rad/s2 counterclockwise.
Calculate the magnitude and direction of the
translational acceleration vector of Point Q, which is
on Disk B.

**Problem Description:**

Disk \( A \) rotates about the fixed axis at Point \( O \) at an angular velocity of \( 4.00 \, \text{rad/s} \) counterclockwise and an angular acceleration of \( 6.00 \, \text{rad/s}^2 \) clockwise. Disk \( B \) is connected to Disk \( A \) with a frictionless pin. At the position shown, Disk \( B \) has an angular velocity of \( 12.0 \, \text{rad/s} \) counterclockwise and an angular acceleration of \( 20.0 \, \text{rad/s}^2 \) counterclockwise. Calculate the magnitude and direction of the translational acceleration vector of Point \( Q \), which is on Disk \( B \).

**Diagram Explanation:**

The diagram shows:
- Disk \( A \) with a radius of \( 10 \, \text{cm} \) rotating about Point \( O \).
- Disk \( B \) is attached to the edge of Disk \( A \) with a pin, allowing it to rotate independently.
- Point \( Q \) is located on Disk \( B \), \( 4 \, \text{cm} \) from the center of Disk \( B \).
- The distance from the center of Disk \( A \) to the center of Disk \( B \) is \( 6 \, \text{cm} \).

**Objective:**
Calculate the translational acceleration vector of Point \( Q \). The task involves using the given angular velocities and accelerations of both disks to determine the resultant linear acceleration at Point \( Q \).

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