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Consider the 35 kg sliding barn door in the image below. Assume that the door does not touch the ground or the wall and

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Consider the 35 kg sliding barn door in the image below. Assume that the door does not touch the ground or the wall and that the only support the door has is at the connection to the wheels. If a wheel cannot rotate and slides in the track, the coefficient of friction between the wheel and the track is 0.4. Neglect the mass of the wheels. The door is 1.8 m long and 0.6 m wide. The wheels are connected at a horizontal distance 8.5 cm from each end of the door. The handle of the door is positioned halfway down its length. 1. If the right wheel is stuck (and unable to rotate), determine the force that a person would need to apply to pull the door closed. (10) 2. Now consider that the left wheel is stuck and the right wheel can rotate freely. Would the person need to pull with more force than in Question 1? (5)

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