rotational motion

a long horizontal rod has a bead which can slide along its length and initially placed at a distance L from one end A of the rod The rod is set in angular acceleration a' If the coefficient of friction between the rod and the bead is mu and gravity is neglected then the time after which the bead starts slipping is ???
Please give the solution

1 Answers

33
Abhishek Priyam ·

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N=ma
a=αl

for slipping mω2l>μN
mω2l>μmαl
ω=αt

therefore mα2t2l>μmαl

t2>μ/α

t>√μ/α

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