A rope is attached to a 20kg sled and pulls it up a 20 degreesnow covered slope.

Question

A rope is attached to a 20kg sled and pulls it up a 20 degreesnow covered slope. A 10kg wood box rests on the sled. If thetension of the rope steadily increases, at what tension willthe 10kg box slip? I have found the s and kvalues for both wood on wood, and wood on snow. I found the normalforces for each box by have the sum of forces in the Y directionequal zero, and having FN equal Fgr *cos(20). I am stuck here though. A rope is attached to a 20kg sled and pulls it up a 20 degreesnow covered slope. A 10kg wood box rests on the sled. If thetension of the rope steadily increases, at what tension willthe 10kg box slip? I have found the s and kvalues for both wood on wood, and wood on snow. I found the normalforces for each box by have the sum of forces in the Y directionequal zero, and having FN equal Fgr *cos(20). I am stuck here though.

Explanation / Answer

Ans.   if f be the acceleration of thesled then,                             f=F cos20/(M+m)           fromfree body diagram of sled,                Mf+(sled)*[(M+m)*g-Fsin20]=(wood)*mg+F cos20                      putting value of f, we get value of F   [Ans.]

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