CALCULATE THE ACCELERATION OF THE MASS M2 =5KG WHEN IT MOVES UPWARD ON A SMOOTH INCLINED PLANE. THE STRING ARE LIGHT AND THE PULLEYS ARE WEIGHTLESS AND FRICTIONLESS. TAKE G=10 M divided byS squared M1=10KG

Asked by ramkishoreagrawal50 | 10th Jan, 2016, 11:20: AM

Expert Answer:

begin mathsize 12px style Given colon straight M subscript 1 equals 10 space kg straight M subscript 2 space equals space 5 space kg straight g equals 10 space straight m divided by straight s squared Here space the space system space of space the space two space masses space attached space to space straight a space string space passes space over space straight a space frictionless space and space weightless space pulley. straight M subscript 2 straight a equals straight T subscript 1 minus straight M subscript 2 straight g space sinθ space space space space space space left parenthesis straight i right parenthesis straight M subscript 1 straight a space equals space straight M subscript 1 straight g minus straight T subscript 1 space space space space space space space space space space space left parenthesis ii right parenthesis left parenthesis straight M subscript 1 plus straight M subscript 2 right parenthesis straight a equals space straight M subscript 1 straight g minus straight M subscript 2 straight g space sinθ straight a equals fraction numerator straight M subscript 1 straight g minus straight M subscript 2 straight g space sinθ over denominator left parenthesis straight M subscript 1 plus straight M subscript 2 right parenthesis end fraction equals fraction numerator 10 cross times 10 minus 5 cross times 10 cross times begin display style 1 half end style over denominator 10 plus 5 end fraction equals fraction numerator 100 minus 25 over denominator 15 end fraction straight a equals 75 over 15 equals 3 space straight m divided by straight s squared end style

Answered by Priyanka Kumbhar | 12th Jan, 2016, 12:44: PM