Alysha A.

asked • 10/22/20

URGENT PLS HELP

A 1.16 KG block of cheese sit on a level table, as shown. The coefficient of static friction is 0.15. Three strings are tied together in a knot at K. Kc is horizontal and fastened to the cheese. Kw angles up to the wall at 36° to the horizontal. Km hangs vertically, supporting a mouse. What is the maximum mass of the mouse, if the cheese and the mouse remain on equilibrium?

Scott D.

tutor
The problem can't be solved without more information and perhaps a diagram.
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10/23/20

Stanton D.

Yes, one needs to know exactly in what directions the strings depart, how they are attached to fixed points (cheese, wall, etc.), and lengths. It would appear that the mouse must be suspended at a point on the angled string, but where? A little thought experiment should convince you that if the mouse-string is attached near the wall, a very heavy mouse is required to yank the cheese (the wall supports most of the mouse-weight), but that if the angled string is very long, an infinitesimal mouse will suffice to move it, and so on. If that cheese looks a bit glaciated (moldy?), could we term it "Kilo-mouse-Jarlsberg-o"? -- Cheers, -- Mr. d.
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10/24/20

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