A bar rotates about A according to the law ϕ = κt. Along the bar a collar K slides with prescribed speed r˙ = v0 − at and initial conditions r(0) = 0, ϕ(0) = 0. a) Calculate κ and a such that rmax = l is reached at ϕ∗ = 2π. b) Determine the path r(ϕ) of K and c) the magnitude of velocity and acceleration at ϕ∗∗= π.
A bar rotates about A according to the law ϕ = κt. Along the bar a collar K slides with prescribed speed r˙ = v0 − at and initial conditions r(0) = 0, ϕ(0) = 0. a) Calculate κ and a such that rmax = l is reached at ϕ∗ = 2π. b) Determine the path r(ϕ) of K and c) the magnitude of velocity and acceleration at ϕ∗∗= π.
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A bar rotates about A according to the law ϕ = κt. Along the bar a collar K slides with prescribed speed r˙ = v0 − at and initial conditions r(0) = 0, ϕ(0) = 0.
- a) Calculate κ and a such that rmax = l is reached at ϕ∗ = 2π.
- b) Determine the path r(ϕ) of K and
- c) the magnitude of velocity and acceleration
at ϕ∗∗= π.
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