671_Dynamics 11ed Manual

671_Dynamics 11ed Manual - z axis with angular velocity z...

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Engineering Mechanics - Dynamics Chapter 20 *Problem 20-4 The propeller of an airplane is rotating at a constant speed ω s i , while the plane is undergoing a turn at a constant rate t . Determine the angular acceleration of the propeller if (a) the turn is horizontal, i.e., t k , and (b) the turn is vertical, downward, i.e., t j . Solution: (a) α t k s i × = α s t j = (b) α t j s i × = α s t k = Problem 20-5 Gear A is fixed while gear B is free to rotate on the shaft S. If the shaft is turning about the
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Unformatted text preview: z axis with angular velocity z , while increasing at rate α z , determine the velocity and acceleration of point C at the instant shown. The face of gear B lies in a vertical plane. Given: z 5 rad s = z 2 rad s 2 = r A 160 mm = r B 80 mm = h 80 mm = Solution: z r A B r B = B z r A r B = B 10 rad s = z r A B r B = B z r A r B = B 4 rad s 2 = 669...
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