com 2

can anyone cofirm the ans of b part? im gettingh root 2gl but the ans is 2 root gl
25 Replies
iTeachChem Helper
@Gyro Gearloose
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Real potato
Real potatoOP2mo ago
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Real potato
Real potatoOP2mo ago
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integralofe^2v
integralofe^2v2mo ago
its 2 root gl
Real potato
Real potatoOP2mo ago
Me ek br check krluga kl
Real potato
Real potatoOP2mo ago
@integralofe^2v
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Real potato
Real potatoOP2mo ago
Kaha glti h isme
integralofe^2v
integralofe^2v2mo ago
Both of the objects dont have same velocity in ground frame ( only horizonral velocity same) u need to write there kinetic energies separately and theb use WET
Real potato
Real potatoOP2mo ago
Fir to bohot simple hogya me to bewajh complicate krra tha $2mgl=\frac{1}{2}mv^2 \newline v=2\sqrt{gl}$
TeXit
TeXit2mo ago
Real potato
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Real potato
Real potatoOP2mo ago
@integralofe^2v right?
integralofe^2v
integralofe^2v2mo ago
wha how did u do this, i used a diff approach like a long method
Real potato
Real potatoOP2mo ago
I just applied wet for that small mass m on the rod Koi or external force to hai nhi vertical velocity dene ? @integralofe^2v
integralofe^2v
integralofe^2v2mo ago
yes but shoulnt u also include velocity of the plank too as the potential energy is also transferred to it?
Real potato
Real potatoOP2mo ago
Velocity of planck will be v only na? momentum conservation firse ans root2gl ajayega:hmmm: Can u show ur method
integralofe^2v
integralofe^2v2mo ago
yes ill show
Real potato
Real potatoOP2mo ago
Yeah please
integralofe^2v
integralofe^2v2mo ago
heres my long ass solution, dot means derivative wrt time so x dot is horizontal velocity and also im working in ground frame.
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Real potato
Real potatoOP2mo ago
Wth this is so confusing man:aah:
integralofe^2v
integralofe^2v2mo ago
hmm it is i agree but se ebasiclly like in groudn frame i wrote the coordinates for both plank and ball right? and for ball's x coordinate the horiontal disp of plank will also be added right? and then i differentiated them wrt time to get there velocities, now i used energy conservation since plank can onyl move horizontally its simple 1/2 * m * v^2 and for ball u can solve it, now i used toruqe about hinge to find angular velocity of ball as a function of theta and u can write angular accelration as omega * d(omega)/d(theta) like u write a as vdv/dx and then yea just put theta as 180
Real potato
Real potatoOP2mo ago
Okay thats lil bit complex for me ill try to process it
integralofe^2v
integralofe^2v2mo ago
let me see if theres a simpler approach.
Real potato
Real potatoOP2mo ago
Yeah please do ill try it again tomorrow
iTeachChem
iTeachChem4w ago
we good?

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