This is a really cute problem:
This poor insect was forcefully kept on a mass less triangular structure, free to rotate in the vertical plane. The only significant dimension of the structure is specified in the diagram.
To save itself from falling, Mr Insect decides to use a simple strategy..he maintains a peculiar motion which does not allow the triangle to rotate!!
Kya aap ek insect se jyaada intelligent hain?? Can you figure out the details of its motion??
Can't the insect just fly away or you cut the flies of the poor guy? :-D
ReplyDeleteis he is doing Oscillation MOTION
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteShm with frequency root g/L
ReplyDeleteAgain..Mr.Digvijay gets it right!
ReplyDeletehow sir please explain>>>>
ReplyDelete"mr.anuj" no one else attempted it!.. ;)
ReplyDelete(done wid ur minors?)(like always..parso TS hai!)(so this is effectively my ast visit b4 JEE..wish me luck ;) )
btw,if the insect does fly(n assuming a jump is reqd to initiate flying)that wud send the triangle in2 a crazy spin right?
ReplyDeletea crazy spin would be justified as the frame is massless...
ReplyDeleteand best of luck yaar...can't say much
please provide me solution sir
ReplyDeletehi amritpal; try to draw the force diagram of the insect;
ReplyDeletefor no rotation of the frame, normal reaction is mg;
force acting on the insect is ma; a is its accn;
from the equilibrium of the frame:
mg(x)=ma(L)...when the insect is at a distance 'a' from the center;
so, a comes out proportional to x; you can now find the time period of the SHM;
in 3rd line i mean horizontal force;
ReplyDelete