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What should be the minimum force P to be...

What should be the minimum force P to be applied to the string so that block of mass m just begins to move up the frictionless plane?

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From force diagram of pulley.
`P+P cos theta=T`
From force diagram of block
`T gt mg sin theta`
or ` P+P cos theta gt mg sin theta`
or `P gt(mg sin theta)/(1+ cos theta)`
`:. P_(min)=(mg sin theta)/(1+cos theta)`
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CENGAGE PHYSICS ENGLISH-NEWTON'S LAWS OF MOTION 1-Exercise 6.2
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  14. A uniform string of length 10m and mass 20 kg lies on a smooth frictio...

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  15. A man of mass m stands on a platform of equal mass m and pulls himself...

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  16. A small cubical block is placed on a triangular block M so that they t...

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  17. A block of mass 1kg is kept on the tilted floor of a lift moving down ...

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  18. Two particles of mass m each are tied at the ends of a light string of...

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