A block of mass 30kg is resting on a smooth horizontal surface . One end of a uniform rope  of 10kg is fixed to the block , which is pulled in the horizontal direction by applying a force of 200N at the other end. Find the tension in the middle of the rope?Also draw figure of the system? 

Asked by Vineeth K | 28th Mar, 2015, 10:00: AM

Expert Answer:

begin mathsize 12px style straight m subscript 1 space end subscript space be space the space mass space of space block space equals space 30 space kg straight m subscript 2 space be space the space mass space of space rope space equals space 10 space kg Force space applied comma space straight F space equals space 200 space straight N Total space foce space gets space balanced space by space horizontal space applied space force therefore space straight F space equals space left parenthesis straight m subscript 1 space plus space straight m subscript 2 right parenthesis straight a straight a space equals space fraction numerator straight F over denominator space left parenthesis straight m subscript 1 space plus space straight m subscript 2 right parenthesis end fraction space equals space fraction numerator 200 over denominator left parenthesis 10 space plus space 30 space right parenthesis end fraction space equals space 5 space straight m divided by straight s squared Tension space in space the space middle space of space the space rope comma space straight T space equals space left parenthesis straight m subscript 1 space plus space straight m subscript 2 over 2 right parenthesis straight a straight T space equals space left parenthesis 30 space plus space 5 space right parenthesis space cross times space 5 space space equals space 175 space straight N The space tension space in space the space middle space of space the space rope space is space 175 space straight N end style

Answered by Priyanka Kumbhar | 30th Mar, 2015, 11:52: AM

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