631_Dynamics 11ed Manual

# 631_Dynamics 11ed Manual - C 2 W C s 2 − = v C r A r B 2...

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Engineering Mechanics - Dynamics Chapter 18 *Problem 18-56 Pulley A has weight W A and centroidal radius of gyration k B . Determine the speed of the crate C of weight W C at the instant s = s 2 . Initially, the crate is released from rest when s = s 1 . The pulley at P “rolls” downward on the cord without slipping. For the calculation, neglect the mass of this pulley and the cord as it unwinds from the inner and outer hubs of pulley A . Given: W A 30 lb = r A 0.4 ft = W C 20 lb = r B 0.8 ft = k B 0.6 ft = r P r B r A 2 = s 1 5f t = s 2 10 ft = Solution: Guess ω 1 rad s = v C 1 ft s = Given W C s 1 1 2 W A g k B ω 2 1 2 W C g
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Unformatted text preview: C 2 + W C s 2 − = v C r A r B + 2 ⎛ ⎝ ⎞ ⎠ = v C ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ Find v C , ( ) = 18.9 rad s = v C 11.3 ft s = Problem 18-57 The assembly consists of two bars of weight W 1 which are pinconnected to the two disks of weight W 2 . If the bars are released from rest at θ = θ , determine their angular velocities at the instant = 0°. Assume the disks roll without slipping. Given: W 1 8 lb = W 2 10 lb = r 0.5 ft = l 3 ft = 60 deg = 629...
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