An object with a mass of $12 kg$ is lying on a surface and is compressing a horizontal spring by $40 cm$ . If the spring's constant is $3 (kg)/s^2$ , what is the minimum value of the surface's coefficient of static friction?

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Answer 1 · 2017-05-26T12:12:53

The coefficient of static friction is $=0.01$

The coefficient of static friction is

$mu_s=F_r/N$

$F_r=k*x$

The spring constant is $k=3kgs^-2$

The compression is $x=0.4m$

Therefore,

$F_r=3*0.4=1.2N$

The normal force is

$N=mg=12gN$

The coefficient of static friction is

$F_r=(1.2)/(12g)=0.01$

An object with a mass of 12 kg 12 kg is lying on a surface and is compressing a horizontal spring by 40 cm40 cm. If the spring's constant is 3 (kg)/s^2 3 (kg)/s^2, what is the minimum value of the surface's coefficient of static friction?