Using air pressure, the ball of mass M is forced to move through the tube lying in the vertical plane and having the shape of a logarithmic spiral. If the tangential force exerted on the ball due to the air is F, determine the rate of increase in the ball’s speed at the instant θ = θ₁. What direction does it act in?

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Given: M = 0.5 kg F = 6 N a = 0.2 m b = 0.1 01 π 2