A) F
B) \[\frac{l}{L}F\]
C) \[\frac{L}{l}F\]
D) \[\left( 1-\frac{l}{L} \right)F\]
Correct Answer: D
Solution :
Suppose m be the mass of the rope per unit length. Therefore, total mass> of length \[L=mL\] \[\therefore \] Force applied \[F=(mL)a\] or \[a=\frac{F}{mL}\] So, tension in the rope at a distance \[l\] = Force on the length \[(L-0)\] or \[T=m(L-l)a=m(1-l)\frac{F}{mL}\] or \[T=\left( 1-\frac{l}{L} \right)F\]You need to login to perform this action.
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