A garage door is mounted on an overhead rail (the figure (Figure 1)). The wheels at A and B have rusted so that they do not roll, but rather slide along the track. The coefficient of kinetic friction is 0.51. The distance between the wheels is 2.00 m, and each is 0.50 m from the vertical sides of the door. The door is uniform and weighs 925 N. It is pushed to the left at constant speed by a horizontal force F. Figure A 2.00 m B < 1 of 1 > If the distance is 1.58 m, what is the vertical component of the force exerted on the wheel A by the track? ΠΙΑΣΦ Fy= Submit ▾ Part B X Incorrect; Try Again; 19 attempts remaining Submit Previous Answers Request Answer @ ⒸLEM ? If the distance is 1.58 m, what is the vertical component of the force exerted on the wheel B by the track? ▾ Part C VO ΑΣΦ A ⒸI Previous Answers Request Answer * Incorrect; Try Again; 19 attempts remaining ☐ ΑΣΦ ? → Ⓒ N Find the maximum value h can have without causing one wheel to leave the track. ? N
A garage door is mounted on an overhead rail (the figure (Figure 1)). The wheels at A and B have rusted so that they do not roll, but rather slide along the track. The coefficient of kinetic friction is 0.51. The distance between the wheels is 2.00 m, and each is 0.50 m from the vertical sides of the door. The door is uniform and weighs 925 N. It is pushed to the left at constant speed by a horizontal force F. Figure A 2.00 m B < 1 of 1 > If the distance is 1.58 m, what is the vertical component of the force exerted on the wheel A by the track? ΠΙΑΣΦ Fy= Submit ▾ Part B X Incorrect; Try Again; 19 attempts remaining Submit Previous Answers Request Answer @ ⒸLEM ? If the distance is 1.58 m, what is the vertical component of the force exerted on the wheel B by the track? ▾ Part C VO ΑΣΦ A ⒸI Previous Answers Request Answer * Incorrect; Try Again; 19 attempts remaining ☐ ΑΣΦ ? → Ⓒ N Find the maximum value h can have without causing one wheel to leave the track. ? N
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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11.83
![### Problem 11.83
A garage door is mounted on an overhead rail (illustrated in the figure below). The wheels at point A and point B have rusted in such a way that they no longer roll but instead slide along the track. The coefficient of kinetic friction is \(0.51\). The distance between the wheels is \(2.00 \, \text{m}\), with each wheel positioned \(0.50 \, \text{m}\) from the vertical sides of the door. The door is uniformly weighted and it weighs \(625 \, \text{N}\). It is being pushed to the left at a constant speed by a horizontal force \( \mathbf{F} \).
#### Figure:
The figure depicts a simplified diagram of the garage door.
- The door is rectangular, with a width of \(3.00 \, \text{m}\).
- There are two wheels, labeled \(A\) and \(B\), which are positioned \(2.00 \, \text{m}\) apart.
- A horizontal force \( \mathbf{F} \) is applied to the door at a height \( h \) above the ground, pushing the door to the left.
#### Part A
If the distance \( h \) is \(1.58 \, \text{m}\), what is the vertical component of the force exerted on the wheel \(A\) by the track?
\[ F_{A} = \quad \text{N} \]
#### Part B
If the distance \( h \) is \(1.58 \, \text{m}\), what is the vertical component of the force exerted on the wheel \(B\) by the track?
\[ F_{B} = \quad \text{N} \]
#### Part C
Determine the maximum value that \( h \) can have without causing one wheel to leave the track.
\[ h_{\text{max}} = \quad \text{m} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a01406f-5d2c-4d09-8873-592de410e115%2Fc25ea714-b593-4ce7-8782-6924e50a4503%2F9zl02q_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem 11.83
A garage door is mounted on an overhead rail (illustrated in the figure below). The wheels at point A and point B have rusted in such a way that they no longer roll but instead slide along the track. The coefficient of kinetic friction is \(0.51\). The distance between the wheels is \(2.00 \, \text{m}\), with each wheel positioned \(0.50 \, \text{m}\) from the vertical sides of the door. The door is uniformly weighted and it weighs \(625 \, \text{N}\). It is being pushed to the left at a constant speed by a horizontal force \( \mathbf{F} \).
#### Figure:
The figure depicts a simplified diagram of the garage door.
- The door is rectangular, with a width of \(3.00 \, \text{m}\).
- There are two wheels, labeled \(A\) and \(B\), which are positioned \(2.00 \, \text{m}\) apart.
- A horizontal force \( \mathbf{F} \) is applied to the door at a height \( h \) above the ground, pushing the door to the left.
#### Part A
If the distance \( h \) is \(1.58 \, \text{m}\), what is the vertical component of the force exerted on the wheel \(A\) by the track?
\[ F_{A} = \quad \text{N} \]
#### Part B
If the distance \( h \) is \(1.58 \, \text{m}\), what is the vertical component of the force exerted on the wheel \(B\) by the track?
\[ F_{B} = \quad \text{N} \]
#### Part C
Determine the maximum value that \( h \) can have without causing one wheel to leave the track.
\[ h_{\text{max}} = \quad \text{m} \]
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