A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other ends is :
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
MLω22
b
ML2ω2
c
MLω2
d
ML2ω22
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Consider a small mass element dm at a distance x from axis of rotation.Required force F=∫dF=∫(dm)ω2x=∫0L MLω2xdx=Mω2L2OR As force on element dF∝x so total force = Average forceTherefore F=0+Mω2L2=Mω2L2