Using air pressure, the 0.5-kg ball is forced to move through the tube lying in the horizontal plane and having the shape of a logarithmic spiral. If the tangential force exerted on the ball due to air pressure is 6 N, determine the rate of increase in the ball’s speed at the instant θ = π/2. Also, what is the angle ψ from the extended radial coordinate r to the line of action of the 6-N force?

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r = 0.2e0.10 F =6N