Question

The figure shows a variable speed friction device. Axis A has an angular velocity of 16 Rad / sec in the direction shown and Axis C has an angular velocity of 30 Rad / sec in the same direction. determine the proper mounting and draw a dimensional drawing of the device
25 cm disco som

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Answer #1

Given

\\ \omega_A=16\ rad/s \\ \omega_C=30\ rad/s \\ h=50\ cm \\ d=25\ cm

Since disc A and C rotate in the same direction the disk B should be between the axes of disc A and C(contact velocity are in opposite direction at A and C)

For the disc B to rotate in the same axes(Not rotate with disc A or C)

The contact velocity should be equal and opposite ar A and C

\\ \omega_A r_A=\omega_C r_C \Rightarrow r_A= 1.875 r_C\\ r_A+r_C=h \\ \\ r_C(1.875+1)=h \\ r_C=17.391\ cm\ \ \&\ \ r_A=h-r_C=32.609\ cm

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