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596_Dynamics 11ed Manual

# 596_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 18 ⎛ ωBC ⎞ ⎜ ⎟ ⎜ ωCD ⎟ ⎜ v ⎟ = Find ( ω , ω , v , v , T) BC CD Gx Gy ⎜ Gx ⎟ ⎜ vGy ⎟ ⎜ ⎟ ⎝T⎠ ⎛ ωBC ⎞ ⎛ 1.5 ⎞ rad ⎜ ⎟=⎜ ⎟ ωCD ⎠ ⎝ 1.697 ⎠ s ⎝ ⎛ vGx ⎞ ⎛ −0.5 ⎞ ft ⎜ ⎟=⎜ ⎟ ⎝ vGy ⎠ ⎝ −0.25 ⎠ s T = 0.0188 ft⋅ lb Problem 18-6 Determine the kinetic energy of the system of three links. Links AB and CD each have weight W1, and link BC has weight W2. Given: W1 = 10 lb W2 = 20 lb ωAB = 5 rad s rAB = 1 ft rBC = 2 ft rCD = 1 ft g = 32.2 ft 2 s Solution: ωBC = 0 rad s ⎛ 1 ⎛ W1 ⎞ ⎜ rAB T= ⎜ ⎟ 2 ⎝ g ⎠⎝ 3 ⎛ rAB ⎞ ⎟ ⎝ rCD ⎠ ωCD = ωAB⎜ 2⎞ 2 W⎞ W ⎞r ⎟ ωAB2 + 1 ⎛ 2 ⎟ ( ωAB rAB) 2 + 1 ⎛ 1 ⎟ CD ωCD2 ⎜ ⎜ 2⎝ g ⎠ 3 2⎝ g ⎠ ⎠ T = 10.4 ft⋅ lb Problem 18-7 The mechanism consists of two rods, AB and BC, which have weights W1 and W2, respectively, and a block at C of weight W3. Determine the kinetic energy of the system at the instant shown, when the block is moving at speed vC. 594 ...
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