A garage door is mounted on an overhead rail as shown below. 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 0.50. The distance between the wheels is 2.00 m, and each are 0.50 from the vertical sides of the door. The door is uniform and weighs 977 N. It is pushed to the left at constant speed by an external horizontal force. If the distance h is 1.54 m: a. What is the vertical component of the force exerted on the wheel A by the track? b. What is the vertical component of the force exerted on the wheel B by the track? c. Find the maximum value h can have without causing one wheel to leave the track. A В E 2.00 m h F K-3.00 m –>

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A garage door is mounted on an overhead rail as shown below. 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 0.50.
The distance between the wheels is 2.00 m, and each are 0.50 from the vertical sides of the door.
The door is uniform and weighs 977 N. It is pushed to the left at constant speed by an external
horizontal force. If the distance h is 1.54 m:
a. What is the vertical component of the force exerted on the wheel A by the track?
b. What is the vertical component of the force exerted on the wheel B by the track?
c. Find the maximum value h can have without causing one wheel to leave the track.
A
В
K 2.00 m
h
k-
3.00 m
Figure 3. The two wheel track of a rusted garage door.
Transcribed Image Text:A garage door is mounted on an overhead rail as shown below. 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 0.50. The distance between the wheels is 2.00 m, and each are 0.50 from the vertical sides of the door. The door is uniform and weighs 977 N. It is pushed to the left at constant speed by an external horizontal force. If the distance h is 1.54 m: a. What is the vertical component of the force exerted on the wheel A by the track? b. What is the vertical component of the force exerted on the wheel B by the track? c. Find the maximum value h can have without causing one wheel to leave the track. A В K 2.00 m h k- 3.00 m Figure 3. The two wheel track of a rusted garage door.
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