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# 1&5 - 2 ω v 3 ω v Solution in s in AB A B j i k i r v...

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3.1 Given: Pictures with geometry shown Find: Which objects are in simple plane motion Solution: a, c, d, and e are all in plane motion. A good indication is that the rotational axis – i.e. there is a point of zero velocity for each plane of rotation – is not moving. 3.5 Given: Points A and B on the rigid bodies shown. Let O be at the base of B1 and O’ be at the base of B2. s in / 80 i Find: The angular velocities of the other two bars:
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Unformatted text preview: 2 ω v , 3 ω v Solution: ( ) in s in AB A B j i k i r v v 2 10 / 80 2 2 + × ω + = × ω + = v . From Bar 3, ( ) in O B O o B j k r v v 12 3 ' 3 ' × ω + = × ω + = v Equate the two expressions for the velocity of B: i i j i 3 2 2 12 2 10 / 80 ω − = ω − ω + s in i-direction: 3 2 12 2 / 80 ω − = ω − s in j-direction: 10 2 = ω 2 = ω v , and k s rad / 3 / 20 3 − = ω v...
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