The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of w = 5.5 rad/s, which is increasing at a = 2.5 rad/s². No slipping occurs. (Figure 1) Figure B 0.1 m TT 0.5 m α W₂ 1 of 1 0.1 m Part A Determine the z, y, and z components of the velocity of point B on the disk at the instant shown using scalar notation. Express your answers using three significant figures separated by commas. 195| ΑΣΦ11 Ivec (UB)z. (UB)y. (UB)== Submit Request Answer Part B (aв)z. (aB)y. (aB)z = Submit Determine the x, y, and z components of the acceleration of point B on the disk at the instant show using scalar notation. Express your answers using three significant figures separated by commas. 195| ΑΣΦ. 11 vec Provide Feedback PIWO Request Answer ? m/s ? m/s² Next >
The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of w = 5.5 rad/s, which is increasing at a = 2.5 rad/s². No slipping occurs. (Figure 1) Figure B 0.1 m TT 0.5 m α W₂ 1 of 1 0.1 m Part A Determine the z, y, and z components of the velocity of point B on the disk at the instant shown using scalar notation. Express your answers using three significant figures separated by commas. 195| ΑΣΦ11 Ivec (UB)z. (UB)y. (UB)== Submit Request Answer Part B (aв)z. (aB)y. (aB)z = Submit Determine the x, y, and z components of the acceleration of point B on the disk at the instant show using scalar notation. Express your answers using three significant figures separated by commas. 195| ΑΣΦ. 11 vec Provide Feedback PIWO Request Answer ? m/s ? m/s² Next >
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
Related questions
Question
The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of ωz = 5.5 rad/s , which is increasing at α = 2.5 rad/s2 . No slipping occurs.
Determine the x, y, and z components of the velocity of point B on the disk at the instant shown using scalar notation.
Determine the x, y, and z components of the acceleration of point B on the disk at the instant shown using scalar notation.
![### Problem Statement
The disk rotates about the shaft \( S \), while the shaft is turning about the \( z \) axis at a rate of \( \omega_z = 5.5 \, \text{rad/s} \), which is increasing at \( \alpha = 2.5 \, \text{rad/s}^2 \). No slipping occurs.
#### Figure Description
- The figure shows a disk mounted on a shaft labeled \( S \) which is oriented along the \( z \)-axis.
- The dimensions given in the figure are:
- Distance along the \( y \)-axis from the center of the disk to point \( B \): \( 0.1 \, \text{m} \)
- Distance along the \( x \)-axis from point \( A \) to the edge of the disk: \( 0.5 \, \text{m} \)
- The disk is shown rotating counterclockwise with angular velocity \( \omega_z \) and angular acceleration \( \alpha \).
### Part A
Determine the \( x \), \( y \), and \( z \) components of the velocity of point \( B \) on the disk at the instant shown using scalar notation.
**Express your answers using three significant figures separated by commas.**
\[
(v_B)_x, (v_B)_y, (v_B)_z = \, \boxed{\text{m/s}}
\]
### Part B
Determine the \( x \), \( y \), and \( z \) components of the acceleration of point \( B \) on the disk at the instant shown using scalar notation.
**Express your answers using three significant figures separated by commas.**
\[
(a_B)_x, (a_B)_y, (a_B)_z = \, \boxed{\text{m/s}^2}
\]
[Submit] [Request Answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F225ea937-ec91-4f60-983d-e6a97001b794%2F1f72e664-595c-4728-9313-853fbb78e88b%2Fykyhppx_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
The disk rotates about the shaft \( S \), while the shaft is turning about the \( z \) axis at a rate of \( \omega_z = 5.5 \, \text{rad/s} \), which is increasing at \( \alpha = 2.5 \, \text{rad/s}^2 \). No slipping occurs.
#### Figure Description
- The figure shows a disk mounted on a shaft labeled \( S \) which is oriented along the \( z \)-axis.
- The dimensions given in the figure are:
- Distance along the \( y \)-axis from the center of the disk to point \( B \): \( 0.1 \, \text{m} \)
- Distance along the \( x \)-axis from point \( A \) to the edge of the disk: \( 0.5 \, \text{m} \)
- The disk is shown rotating counterclockwise with angular velocity \( \omega_z \) and angular acceleration \( \alpha \).
### Part A
Determine the \( x \), \( y \), and \( z \) components of the velocity of point \( B \) on the disk at the instant shown using scalar notation.
**Express your answers using three significant figures separated by commas.**
\[
(v_B)_x, (v_B)_y, (v_B)_z = \, \boxed{\text{m/s}}
\]
### Part B
Determine the \( x \), \( y \), and \( z \) components of the acceleration of point \( B \) on the disk at the instant shown using scalar notation.
**Express your answers using three significant figures separated by commas.**
\[
(a_B)_x, (a_B)_y, (a_B)_z = \, \boxed{\text{m/s}^2}
\]
[Submit] [Request Answer]
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