A block of mass m 1 restson a rough inclined plane and is attached to a hanging

Question

A block of mass m1 restson a rough inclined plane and is attached to a hanging mass of massm2 bya string which is draped over a frictionless, massless pulley.If the coecient of static friction between m1 andthe plane is s,under what conditions will the block slide up the inclined plane?
1. Come up with 3 equations solved for a 2. Set a = 0 3. final form should be "m2 > ____"

1. Come up with 3 equations solved for a 2. Set a = 0 3. final form should be "m2 > ____"
1. Come up with 3 equations solved for a 2. Set a = 0 3. final form should be "m2 > ____"

Explanation / Answer

let us derive the minimum mass of mass m2 for the block to justslide up

for this t happen even the frictional force should bedownwards

hence on the block of mass m1 the forces down the inclineis

m1gcostheta+m1gsin

and the force up the incline is T

and we have T=m2*g

so we get the min mass of m2

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