In the design of an amusement-park ride, the cars are attached to arms of length R which are hinged to a central rotating collar which drives the assembly about the vertical axis with a constant angular rate ω=θ̇ . The cars rise and fall with the track according to the relation z=(h / 2)(1-cos2 θ) Find the R -, θ-, and ϕ-components of the velocity 𝐯 of each car as it passes the position θ=π/ 4 rad. | Numerade
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