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A body of mass 2 kg is lyign on rough i...

A body of mass 2 kg is lyign on rough inclined plane of inclination `30^0`. Find the mgnitude of the force parallel to the incline needed to make tkheblock move a. up the incline b. down the incline. Coefficient of static friction =0.2

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To make the block up the incline, force shuld be equal and opposite to the net force acting downtheincline.
Force `=mu R+2g sin 30^0`
`=0.2xx(9.8)sqrt3+2xx98xx(1/2)`
`3.39+9.8=13N`
With this minimum force the body moves up the incline with a cosntant velocityas net force on it is zero.
b. Net force acting down teh inclineis given by,
`F=o2g sin30^0-mu R`
`=2xx9.8xx1/2-3.39`
`=6.41N`
Due to F=6.41N, the body will move down the incline with aceeleration hence the force required is zero.
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