*16–124. The disk rolls without slipping such that it has an angular acceleration of a = 4 rad/s² and angular velocity of w = 2 rad/s at the instant shown. Determine the acceleration of points A and B on the link and the link's angular acceleration at this instant. Assume point A lies on the periphery of the disk, 150 mm from C.
*16–124. The disk rolls without slipping such that it has an angular acceleration of a = 4 rad/s² and angular velocity of w = 2 rad/s at the instant shown. Determine the acceleration of points A and B on the link and the link's angular acceleration at this instant. Assume point A lies on the periphery of the disk, 150 mm from C.
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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![The problem describes a scenario involving a disk that rolls without slipping. The disk has an angular acceleration of \(\alpha = 4 \, \text{rad/s}^2\) and an angular velocity of \(\omega = 2 \, \text{rad/s}\) at the instant shown. The task is to determine the acceleration of points A and B on the link and the link’s angular acceleration at this instant. It is assumed that point A lies on the periphery of the disk, 150 mm from point C.
**Problem 16-124**
The diagram includes:
- A disk with a rotating link connected at the center point C.
- Angular velocity \(\omega = 2 \, \text{rad/s}\) and angular acceleration \(\alpha = 4 \, \text{rad/s}^2\) are indicated with arrows showing direction of rotation.
- Point A is marked on the periphery of the disk, 150 mm away from point C, the center.
- Point B is located 500 mm from point A along the link.
- The distance from point C to the ground at the bottom of the disk is 400 mm horizontally.
From this setup, you are to calculate the accelerations of points A and B on the rotating link, as well as the angular acceleration of the link.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3dd651d6-6f41-463a-a278-85a253904443%2F9b9e4ab6-6bba-4d57-b947-7a072b4cdce1%2Fh6q1zyn_processed.png&w=3840&q=75)
Transcribed Image Text:The problem describes a scenario involving a disk that rolls without slipping. The disk has an angular acceleration of \(\alpha = 4 \, \text{rad/s}^2\) and an angular velocity of \(\omega = 2 \, \text{rad/s}\) at the instant shown. The task is to determine the acceleration of points A and B on the link and the link’s angular acceleration at this instant. It is assumed that point A lies on the periphery of the disk, 150 mm from point C.
**Problem 16-124**
The diagram includes:
- A disk with a rotating link connected at the center point C.
- Angular velocity \(\omega = 2 \, \text{rad/s}\) and angular acceleration \(\alpha = 4 \, \text{rad/s}^2\) are indicated with arrows showing direction of rotation.
- Point A is marked on the periphery of the disk, 150 mm away from point C, the center.
- Point B is located 500 mm from point A along the link.
- The distance from point C to the ground at the bottom of the disk is 400 mm horizontally.
From this setup, you are to calculate the accelerations of points A and B on the rotating link, as well as the angular acceleration of the link.
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