The ball of mass M of negligible size is fired up the vertical circular track using the spring plunger. The plunger keeps the spring compressed a distance δ when x = 0. Determine how far x it must be pulled back and released so that the ball will begin to leave the track when θ = θ₁.

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Given: M = 0.5 kg 8 = 0.08 m 0₁ = 135 deg r = 1.5 m k = 500 8 = 9.81 N ZE m "B 2