The hollow tube assembly rotates about a vertical axis with angular velocity = = 4

The hollow tube assembly rotates about a vertical axis with angular velocity ω = θ˙ = 4 rad /s and ω˙ = θ¨ = −2 rad /s². A small 0.2-kg slider P moves inside the horizontal tube portion under the control of the string which passes out the bottom of the assembly. If r = 0.8 m, r˙ = −2 m /s, and r¨ = 4 m /s2, determine the tension T in the string and the horizontal force F_θ exerted on the slider by the tube.

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