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## Homework Statement

A horizontal force of 2 N is just sufficient to prevent a block of mass 1 kg from sliding down a rough plane inclined at arcsin [tex]\frac{7}{25}[/tex] to the horizontal. Find the coefficient of friction between the block and the plane and the acceleration with which the block will move when the force is removed.

g = 9.8

## Homework Equations

F = [tex]\mu[/tex]R

## The Attempt at a Solution

I didn't try the second part, but this is the first part.

Ncos[tex]\theta[/tex]+[tex]\mu[/tex]R=mgsin[tex]\theta[/tex]

I replace N and [tex]\theta[/tex] with the values given and R with mgcos[tex]\theta[/tex] and solve for [tex]\mu[/tex].

I get [tex]\mu=0.0876[/tex]

The answer at the back of the book is 0.0827 for coefficient.

1.97 ms^-2 for acceleration