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Two spheres A and B are kept in a horizontal channel. Determine the reactions coming from all the contact surfaces. Consider the radius of A and B are 40 mm and 30 mm respectively.

Take WA=500N and WB=200N

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RA=40mm

RB=30mmWA=500NWB=200N

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AB=RA+RB=40+30=70mmAC=1204030=50mmθ=cos1(ACAB)=cos1(5070)=44.41

FBD

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From FBD of cylinder B,

$∑f_y=0 ⟹R_3 \sin 44.41=200 \\ R_3=285.8 N \\ ∑f_x=0 ⟹R_4 \cos 44.41 \\ R_4=204.16 N …

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