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*13–112. The pilot of an airplane executes a vertical loop which in part follows the path of a “four-leaved rose," r = (-600cos 20) ft, where 0 is in radians. If his speed is a constant vp = 80 ft/s, determine the vertical reaction the seat of the plane exerts on the pilot when the plane is at A. He weights 130 lb. Hint: To determine the time derivatives necessary to compute the acceleration components a, and a, take the first and second time derivatives of r = 400(1 + cos0). Then, for further information, use Eq. 12–26 to determine ô. Also, take the time derivative of Eq. 12–26, noting that vp = 0 to determine ở. 80 ft/s r=-600 cos 20

*13–112. The pilot of an airplane executes a vertical loop which in part follows the path of a “four-leaved rose," r = (-600cos 20) ft, where 0 is in radians. If his speed is a constant vp = 80 ft/s, determine the vertical reaction the seat of the plane exerts on the pilot when the plane is at A. He weights 130 lb. Hint: To determine the time derivatives necessary to compute the acceleration components a, and a, take the first and second time derivatives of r = 400(1 + cos0). Then, for further information, use Eq. 12–26 to determine ô. Also, take the time derivative of Eq. 12–26, noting that vp = 0 to determine ở. 80 ft/s r=-600 cos 20

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*13–112. The pilot of an airplane executes a vertical loop which in part follows the path of a “four-leaved rose," r = (-600cos 20) ft, where 0 is in radians. If his speed is a constant vp = 80 ft/s, determine the vertical reaction the seat of the plane exerts on the pilot when the plane is at A. He weights 130 lb. Hint: To determine the time derivatives necessary to compute the acceleration components a, and a, take the first and second time derivatives of r = 400(1 + cos0). Then, for further information, use Eq. 12–26 to determine ô. Also, take the time derivative of Eq. 12–26, noting that vp = 0 to determine ở. 80 ft/s r=-600 cos 20
Transcribed Image Text:*13–112. The pilot of an airplane executes a vertical loop which in part follows the path of a “four-leaved rose," r = (-600cos 20) ft, where 0 is in radians. If his speed is a constant vp = 80 ft/s, determine the vertical reaction the seat of the plane exerts on the pilot when the plane is at A. He weights 130 lb. Hint: To determine the time derivatives necessary to compute the acceleration components a, and a, take the first and second time derivatives of r = 400(1 + cos0). Then, for further information, use Eq. 12–26 to determine ô. Also, take the time derivative of Eq. 12–26, noting that vp = 0 to determine ở. 80 ft/s r=-600 cos 20
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