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  4. The uniform solid cylinder rolls without slipping in the system shown. If the maximum compression in spring is 15 cm, the possible friction force acting on the cylinder during its motion is :

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Q. The uniform solid cylinder rolls without slipping in the system shown. If the maximum compression in spring is $15\,cm$, the possible friction force acting on the cylinder during its motion is :Physics Question Image

Oscillations

Solution:

$F _{1}- f =3 a$
$f R =\frac{3 R ^{2}}{2} \frac{ a }{ R }$
$F _{1}=4.5 a$
$a =\frac{ F _{1}}{4.5} $
$\Rightarrow f =\frac{1.5}{4.5} \times 30=10 N$