An object with a mass of $4 kg$ 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 · 2017-12-30T15:09:40

The coefficient of static friction is $=0.26$

The mass is $m=4kg$

The compression of the spring is $x=5/8m$

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

The reaction of the spring is $R=kx=16*5/8=10N$

The acceleration due to gravity is $g=9.8ms^-2$

The normal reaction of the object is $N=mg=4*9.8=39.2N$

The coefficient of static friction is

$mu_s=R/N=10/39.2=0.26$

An object with a mass of 4 kg4 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?