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Net Force

A weight is s...

Question

A weight is suspended by a string and pulled by a force so that the string is deflected through a given angle.The pulling force will be a minimum when it is
A)horizontal
B)inclined at 45 degree to the string
C)perpendicular to the string
D)vertical

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Solution

$\sin c e t h e w e i g h t i s s u s p e n d e d a n d p u l l e d b y a f o r c e s o t h a t s t r i n g i s d e f l e c t e d t h e p u l l i n g f o r c e i s g i v e n b y F = m g \sin θ w h e n t h e s t r i n g i s v e r t i c a l t h e n t h e a n g l e w i l l b e 0 s o t h e f o r c e b e c o m e z e r o, t h e r e f o r e w h e n t h e s t r i n g i s v e r t i c a l t h e f o r c e w i l l b e m i n i m u m, s o D i s t h e o p t i o n .$

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