The 13.5-lb disk rests on the 5-lb plate. A cord is wrapped around the periphery of the disk and attached to the wall at B. A torque M = 40 lb-ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at D having a coefficient of kinetic friction of μ = 0.2. Neglect the mass of the cord. (Figure 1) Figure M = 40 lb-ft 1.25 ft 3 ft 1 of 1
The 13.5-lb disk rests on the 5-lb plate. A cord is wrapped around the periphery of the disk and attached to the wall at B. A torque M = 40 lb-ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at D having a coefficient of kinetic friction of μ = 0.2. Neglect the mass of the cord. (Figure 1) Figure M = 40 lb-ft 1.25 ft 3 ft 1 of 1
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 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μk = 0.2. Neglect the mass of the cord
Determine the angular acceleration of the disk measured counterclockwise .
Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.

Transcribed Image Text:**Physics Problem: Torques and Rotational Motion**
The setup involves a 13.5-lb disk positioned on a 5-lb plate. A cord is wrapped around the disk's periphery and attached to a wall at point B. A torque \( M = 40 \, \text{lb} \cdot \text{ft} \) is applied to the disk. It is assumed that the disk does not slip on the plate. The plate rests on a surface at point D, with a kinetic friction coefficient \(\mu_k = 0.2\). The mass of the cord is to be neglected.
**Figure Explanation:**
- The diagram shows a disk with a torque \( M = 40 \, \text{lb} \cdot \text{ft} \).
- There is a label indicating the distance of 1.25 ft from the center of the disk to a point labeled A.
- The 3 ft label shows the distance from the center of the disk to the wall on the lower surface of the plate.
**Problem Part A:**
Determine the angular acceleration of the disk measured counterclockwise.
- Your answer should be given in three significant figures.
- Enter a positive value if the angular acceleration is counterclockwise and negative if clockwise.
- The unit of measurement is \(\text{rad/s}^2\).
**Problem Part B:**
Determine the time needed for the end \( C' \) of the plate to travel 3 ft and strike the wall.
- Provide an answer with three significant figures and include the appropriate units.
Both parts include a submission area for the answers, with a notification for incorrect attempts and reminders for remaining attempts (5 in total).
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