662_Dynamics 11ed Manual

662_Dynamics 11ed Manual - Given m b 7 gm = m d 5 kg = φ...

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Engineering Mechanics - Dynamics Chapter 19 Given: M 1 30 kg = k z 0.6 m = M 2 180 kg = a 0.75 m = ω 2 rad s = v 2 m s = Solution: a () Guess 2 1 rad s = Given M 2 k z 2 2 M 1 a 2 + () M 2 k z 2 M 1 a 2 + () 2 = 2 Find 2 () = 2 2.41 rad s = b () Guess 3 1 rad s = Given M 2 k z 2 M 1 a 2 + () 2 M 2 k z 2 3 M 1 v 3 a + () a + = 3 Find 3 () = 3 1.86 rad s = Problem 19-49 A bullet of mass m b having velocity v is fired into the edge of the disk of mass m d as shown. Determine the angular velocity of the disk of mass m d just after the bullet becomes embedded in it. Also, calculate how far θ the disk will swing until it stops. The disk is originally at rest.
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Unformatted text preview: Given: m b 7 gm = m d 5 kg = φ 30 deg = v 800 m s = r 0.2 m = Solution: Guesses 1 rad s = 10 deg = Given m b v cos ( ) r 3 2 m d r 2 = m d − gr 1 2 3 2 m d r 2 ⎛ ⎝ ⎞ ⎠ 2 + m d − gr cos ( ) = ⎛ ⎝ ⎞ ⎠ Find ωθ , ( ) = 3.23 rad s = 32.8 deg = 660...
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