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physstudent1

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This problem has to do with physics but it is from my calculus book, and for my calc class so I put it here:

"A component is designed to slide a block of steel with weight W across a table and into a chute. The motion of the block is resisted by a frictional force proportional to its apparent weight. (Let k be the constant of proportionality.) Find the minimum force F needed to slide the block and find the corresponding value of theta. (Hint: FcosTheta is the force in the direction of the motion, and FsinTheta is the amount of force tending to lift the block. So the apparent weight is W-Fsintheta.)"

Apparent weight = W-FsinTheta

I set the equation FcosTheta = k(w-Fsintheta)

I really don't know where to go from here. In every optimization problem we have found 2 equations a primary and a secondary and used the secondary to relate to get rid of variables. Can someone please point me in the right direction I'm pretty lost.

## Homework Statement

"A component is designed to slide a block of steel with weight W across a table and into a chute. The motion of the block is resisted by a frictional force proportional to its apparent weight. (Let k be the constant of proportionality.) Find the minimum force F needed to slide the block and find the corresponding value of theta. (Hint: FcosTheta is the force in the direction of the motion, and FsinTheta is the amount of force tending to lift the block. So the apparent weight is W-Fsintheta.)"

## Homework Equations

Apparent weight = W-FsinTheta

## The Attempt at a Solution

I set the equation FcosTheta = k(w-Fsintheta)

I really don't know where to go from here. In every optimization problem we have found 2 equations a primary and a secondary and used the secondary to relate to get rid of variables. Can someone please point me in the right direction I'm pretty lost.

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