A jetliner is flying at a speed of 600 mi/hr in a translator manner relative to

Question

A jetliner is flying at a speed of 600 mi/hr in a translator manner relative to the ground reference XYZ. At the instant of interest, a downdraft causes the plane to accelerate downward at a rate of 50 mi/hr/sec . While this is happening the pilot cuts back on the throttle so that the plane is decelerating in the Y-direction at the rate of 30 mi/hr/sec. While maintaining a translatory attitude, a solenoid is operated to close a gate valve which weighs

A jetliner is flying at a speed of 600 mi/hr in a translator manner relative to the ground reference XYZ. At the instant of interest, a downdraft causes the plane to accelerate downward at a rate of 50 mi/hr/sec . While this is happening the pilot cuts back on the throttle so that the plane is decelerating in the Y-direction at the rate of 30 mi/hr/sec. While maintaining a translatory attitude, a solenoid is operated to close a gate valve which weighs 1/2 lb. What is the force on the valve gate from the plane at the instant when the valve gate is moving downward relative to the plane at an acceleration 16.1 ft/sec/sec, also downward? Hint: Use the coordinate systems as they are shown in the diagram.

Explanation / Answer

Vjet = 600 mi/hr (j)

Ajet = 50 mi/hr/s (-i)

Ajet = 30 mi/hr/s (-j)

Wgate = 0.5 lb

Agaterelative = 16.1 ft/s/s (-j)

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