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If the coefficient of static friction between the block and the platform is μs = 0.4, determine the maximum speed which the block can attain before it begins to slip. Assume the angular motion of the disk is slowly increasing. Express your answer to three significant figures and include the appropriate units.

Respuesta :

Answer:

V= 2.82 m/s

Explanation:

Given that

μs = 0.4

Lets take track is circular with radius 2 m.

Condition before just start to slip

[tex]\dfrac{mV^2}{r}=\mu _smg[/tex]

[tex]\dfrac{V^2}{r}=\mu _sg[/tex]

[tex]V^2=\mu rg[/tex]

[tex]V=\sqrt{\mu rg}\ m/s[/tex]

Now by putting the values

Lets take    r = 2 m

μs = 0.4

[tex]V=\sqrt{0.4\times 2\times 9.81}\ m/s[/tex]

V= 2.82 m/s