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A rope of length 30 cm is on a horizontal table
with maximum length hanging from edge A of
the table. The coefficient of friction between the rope and the table is 0.5 .The dist of C.M from the A is??

Asked by chandanbr6004 11th November 2017, 3:52 AM
Answered by Expert
Answer:
begin mathsize 12px style Tension space of space hanging space part space of space chain space will space balance space the space frictional space force space between space part space of space chain space lying space on space the space table space and space table space surface
straight T equals uN
straight L equals space Total space length space of space chain
space the space mass space per space unit space length space be space straight m divided by straight L
calligraphic l subscript 1 equals space hanging space length
straight L minus calligraphic l subscript 1 equals space part space lying space on space the space table

straight m over straight L straight x calligraphic l subscript 1 xg equals ux straight m over straight L space left parenthesis straight L minus calligraphic l subscript 1 right parenthesis xg


calligraphic l subscript 1 equals 0.5 straight L minus calligraphic l subscript 1
calligraphic l subscript 1 equals straight L over 4 space length space of space hanging space part
centre space of space mass space will space be space at space the space centre space of space the space hanging space part space of space chain
there space fore space distance space of space centre space of space mass space equals fraction numerator straight L over denominator 2 straight x 4 end fraction equals straight L over 8


space end style
Answered by Expert 4th December 2017, 12:26 PM
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