A stick o fmas density lamda=8kg//m rests on a disc of radius R=20cm as shown in the figure. The stick makes an angle theta=37^(@) with the horizontal and is tangent to the disc at its upper end. Friction exists at all point of contact and assume that it is large enough to keep the system at rest. Find the friction force (in Newton) between the ground and the disc. (take g=10m//s^(2))

A stick o fmas density lamda=8kg//m rests on a disc of radius R=20cm a

1.	A stick o fmas density lamda=8kg//m rests on a disc of radius R=20cm as shown in the figure. The stick makes an angle theta=37^(@) with the horizontal and is tangent to the disc at its upper end. Friction exists at all point of contact and assume that it is large enough to keep the system at rest. Find the friction force (in Newton) between the ground and the disc. (take g=10m//s^(2))
Answer» Solution :`tau_(A)=0` `N=(Mg)/2 COS theta` For disc, `N sintheta=f+fcostheta` `:.f=(Nsintheta)/(1+costheta)=(Mgsinthetacostheta)/(2(1+costheta)` `M=lamdaL` and `L=R/("TAN"(theta)/2)` `f=1/2 lamda R cos theta` `=1/2 xx8xx10xx2/10xx4/5` `=32/5=6.40N`

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