A rigid body is made of three identical thin rods, each of length .L.fastended together in the form of the letter .H.. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of .H.. The body is allowed to fall from rest from a position in which the plane of .H. is horizontal. What is the angular speed of the body when the plane of .H. is vertical?

A rigid body is made of three identical thin rods, each of length .L.f

1.	A rigid body is made of three identical thin rods, each of length .L.fastended together in the form of the letter .H.. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of .H.. The body is allowed to fall from rest from a position in which the plane of .H. is horizontal. What is the angular speed of the body when the plane of .H. is vertical?
Answer» <html><body><p></p>Solution :The <a href="https://interviewquestions.tuteehub.com/tag/moment-25786" style="font-weight:bold;" target="_blank" title="Click to know more about MOMENT">MOMENT</a> of inertia of the <a href="https://interviewquestions.tuteehub.com/tag/system-1237255" style="font-weight:bold;" target="_blank" title="Click to know more about SYSTEM">SYSTEM</a> about the axis is `I=(4)/(3) <a href="https://interviewquestions.tuteehub.com/tag/ml-548251" style="font-weight:bold;" target="_blank" title="Click to know more about ML">ML</a>^(2)`. By conservation of mechanical energy the lose in PE of body is cqual to the gain in rotationalKE. <br/> `:.(3)/(2) mgL=(1)/(2) ((4)/(3)mL^(2)), <a href="https://interviewquestions.tuteehub.com/tag/omega-585625" style="font-weight:bold;" target="_blank" title="Click to know more about OMEGA">OMEGA</a>^(2)` <br/> on solging `omega=(3)/(2) sqrt((g)/(L))` <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/AKS_NEO_CAO_PHY_XI_V01_MP2_C07_SLV_068_S01.png" width="80%"/></body></html>