Question 5.84: Both pulleys are fixed to the shaft and as the shaft turns w...
Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley A is transmitted to pulley B. Determine the horizontal tension T in the belt on pulley B and the x, y, z components of reaction at the journal bearing C and thrust bearing D if θ = 45°. The bearings are in proper alignment and exert only force reactions on the shaft.
Equations of Equilibrium:
\Sigma M_x=0 ; \quad 65(0.08)-80(0.08)+T(0.15)-50(0.15)=0T=58.0 \mathrm{~N}
\Sigma M_y=0 ; \quad(65+80)(0.45)-50 \sin 45^{\circ}(0.2)-C_z(0.75)=0C_z=77.57 \mathrm{~N}=77.6 \mathrm{~N}
\Sigma M_z=0 ; \quad 58.0(0.2)+50 \cos 45^{\circ}(0.2)-C_y(0.75)=0C_y=24.89 \mathrm{~N}=24.9 \mathrm{~N}
\Sigma F_x=0 ; \quad D_x=0
\Sigma F_y=0 ; \quad D_y+24.89-50 \cos 45^{\circ}-58.0=0
D_y=68.5 \mathrm{~N}
\Sigma F_z=0 ; \quad D_z+77.57+50 \sin 45^{\circ}-80-65=0D_z=32.1 \mathrm{~N}
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