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Question Number 107711 by ajfour last updated on 12/Aug/20

Commented by ajfour last updated on 12/Aug/20

$$Ifmotionbeginsfromrestwhen$$$$blueblockisatAandbythetimeit$$$$reachesBstringgoesslack,then$$$$findlengthAB.$$$$$$

Answered by mr W last updated on 12/Aug/20

Commented by mr W last updated on 12/Aug/20

$$T\cos \theta ={ma}_x$$$$mg-T=ma={ma}_x\cos \theta$$$$\Rightarrow \frac{T\cos \theta }{mg-T}=\frac{1}{\cos \theta }$$$$T(1+{\cos }^2\theta )=mg$$$$\Rightarrow T=\frac{mg}{1+{\cos }^2\theta }>0$$$$thestringcanneverbecomeslack!$$

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