Question
Sat March 28, 2015 By: Vineeth K

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? 

Expert Reply
Priyanka Kumbhar
Mon March 30, 2015
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
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