614_Dynamics 11ed Manual

614_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 18 Given 2 W r L 2 sin θ 1 () 1 2 k 2 L 2 L cos 1 () () 2 2 1 2 1 3 W r g L 2 ω 2 = Find () = 4.284 rad s = Problem 18-31 The uniform door has mass M and can be treated as a thin plate having the dimensions shown. If it is connected to a torsional spring at A , which has stiffness k , determine the required initial twist of the spring in radians so that the door has an angular velocity when it closes at = 0° after being opened at = 90° and released from rest. Hint: For a torsional spring M = k , where k is the stiffness and is the angle of twist. Given: M 20 kg = a 0.8 m = k 80 Nm rad = b 0.1 m = 12 rad s = c 2m = P 0N = Solution:
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