738_Dynamics 11ed Manual

738_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics ω = 5.22 rad s Chapter 21 ωOA = ω L ωOA = 17.3 a rad s Problem 21-30 The circular plate has weight W and diameter d. If it is released from rest and falls horizontally a distance h onto the hook at S, which provides a permanent connection, determine the velocity of the mass center of the plate just after the connection with the hook is made. Given: W = 19 lb d = 1.5 ft h = 2.5 ft ft g = 32.2 2 s Solution: vG1 = 2g h vG1 = 12.69 ft s 2 ⎛ W ⎞v ⎛ d ⎞ = 5 ⎛ W ⎞ ⎛ d ⎞ ω ⎜ ⎟ G1⎜ ⎟ ⎜ ⎟⎜ ⎟ 2 ⎝ g ⎠ ⎝ 2⎠ 4 ⎝ g ⎠ ⎝ 2⎠ ω2 = 8vG1 5d vG2 = ω2 d 2 ω2 = 13.53 rad vG2 = 10.2 s ft s Problem 21-31 A thin plate, having mass M, is suspended from one of its corners by a ball-and-socket joint O. If a stone strikes the plate perpendicular to its surface at an adjacent corner A with an impulse Is, determine the instantaneous axis of rotation for the plate and the impulse created at O. Given: M = 4 kg a = 200 mm 736 ...
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