The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is μk = 0.13. The radius of gyration about the mass center is kG = 0.22 m  Determine the angular velocity of the spool, measured clockwise, when t = 7 s after it is released from rest. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise

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
icon
Related questions
Question

The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is μk = 0.13. The radius of gyration about the mass center is kG = 0.22 m 

Determine the angular velocity of the spool, measured clockwise, when t = 7 s after it is released from rest. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise

**Problem Statement:**

The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is \( \mu_k = 0.13 \). The radius of gyration about the mass center is \( k_G = 0.22 \, \text{m} \). (Refer to Figure 1)

**Task:**

Determine the angular velocity of the spool, measured clockwise, when \( t = 7 \, \text{s} \) after it is released from rest.

**Instructions:**

Express your answer using three significant figures. Enter a positive value if the angular velocity is clockwise and a negative value if the angular velocity is counterclockwise.

**Input Box:**

\[ \omega = \, \_\_\_ \, \text{rad/s} \]

**Options:**
- Submit
- Request Answer
- Return to Assignment
- Provide Feedback

**Figure Description:**

- The diagram shows a spool on an inclined plane, inclined at 30 degrees to the horizontal.
- The spool has a radius of 0.2 meters and the distance from point A to the edge of the plane is 0.4 meters.
- A schematic representation indicates the center of the spool labeled \( G \).

**Explanation:**

To solve the problem, consider the forces acting on the spool due to gravity and friction, and use the equations of motion to find the angular velocity after 7 seconds.
Transcribed Image Text:**Problem Statement:** The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is \( \mu_k = 0.13 \). The radius of gyration about the mass center is \( k_G = 0.22 \, \text{m} \). (Refer to Figure 1) **Task:** Determine the angular velocity of the spool, measured clockwise, when \( t = 7 \, \text{s} \) after it is released from rest. **Instructions:** Express your answer using three significant figures. Enter a positive value if the angular velocity is clockwise and a negative value if the angular velocity is counterclockwise. **Input Box:** \[ \omega = \, \_\_\_ \, \text{rad/s} \] **Options:** - Submit - Request Answer - Return to Assignment - Provide Feedback **Figure Description:** - The diagram shows a spool on an inclined plane, inclined at 30 degrees to the horizontal. - The spool has a radius of 0.2 meters and the distance from point A to the edge of the plane is 0.4 meters. - A schematic representation indicates the center of the spool labeled \( G \). **Explanation:** To solve the problem, consider the forces acting on the spool due to gravity and friction, and use the equations of motion to find the angular velocity after 7 seconds.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Design of Power Transmission Elements and Power Transmission Systems
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY