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Please help me solve the question .I offer my sincere apologies as I couldn't upload a proper image.Please help me solve it

Please help me solve the question .I offer my sincere apologies as I couldn't upload a proper image.Please help me solve it

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Grade:11

1 Answers

Parth
58 Points
3 years ago
See in above case first you’ve to solve for tension at both end by comparing them with mg
you’ll ve these equations
T1cos(t1)  = T2cos(t2)
T1sin(t1) + T2sin(t2) = mg
on solving T1= mgcos(t2)/(sin(t1+t2) and T2 = mgcos(t1)/(sin(t1+t2)
now from left end take element of size x along the length of rope , let assume tension at this point = T
on solving T = T1*cos(t1)/cos(t)  where t is angle of the curve at the end of x
t
so by varying value of t you’find T min = mg*cos(t1)*cos(t2)/sin(t1+t2)  T max = mg*cos(t2)/sin(t1+t2) hence option C
 
 
 pls approve it

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