An object with a mass of $3 kg$ is lying still on a surface and is compressing a horizontal spring by $5 /8 m$ . If the spring's constant is $16 (kg)/s^2$ , what is the minimum value of the surface's coefficient of static friction?

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Answer 1 · 2017-06-27T05:58:13

The coefficient of static friction is $=0.34$

The coefficient of static friction is

$mu_s=F_r/N$

$F_r=k*x$

The spring constant is $k=16kgs^-2$

The compression is $x=5/8m$

Therefore,

$F_r=16*5/8=10N$

The normal force is

$N=mg=3gN$

The coefficient of static friction is

$mu_s=(10)/(3g)=0.34$

An object with a mass of 3 kg3 kg is lying still on a surface and is compressing a horizontal spring by 5 /8 m5 /8 m. If the spring's constant is 16 (kg)/s^216 (kg)/s^2, what is the minimum value of the surface's coefficient of static friction?