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Example rel motion 2_8_12

Example rel motion 2_8_12 - B ’s acceleration is The...

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Relative Motion Example For the instant represented, car A is accelerating in the direction of its motion as shown and car B has a speed of 45 mph, and the speed of B is increasing. If the acceleration of B as observed from A is zero for this instant, determine the acceleration of A and the rate at which the speed of B is changing. Note that the speed of A is not specified. Solution: Since then The magnitude of the normal component of
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Unformatted text preview: B ’s acceleration is The direction of acceleration of A is given to be 45° (“in the direction of motion”). Therefore, the direction of acceleration of B must also be 45°. The normal and tangential components for the acceleration of B must be of equal magnitude and must be as shown in the figure below. Therefore, the speed of B is found from: The magnitude of the accelerations of A and B must both be:...
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