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(Solved): 5. The uniform arm OA has a mass of 4 kg, and the gear D has a mass of 5 kg with a radius of gyra ...
5. The uniform arm OA has a mass of 4 kg, and the gear D has a
mass of 5 kg with a radius of gyration about its center of 64
mm. The larger gear B is fixed and cannot rotate. If the arm
and small gear are released from rest in the position shown in
the vertical plane, calculate the angular velocity of arm OA
when A is passing through the lowest position. (15')
5. The uniform arm \( O A \) has a mass of \( 4 \mathrm{~kg} \), and the gear \( D \) has a mass of \( 5 \mathrm{~kg} \) with a radius of gyration about its center of 64 \( \mathrm{mm} \). The larger gear \( B \) is fixed and cannot rotate. If the arm and small gear are released from rest in the position shown in the vertical plane, calculate the angular velocity of arm \( O A \) when \( A \) is passing through the lowest position. (15')
Expert Answer
Datum line O A B D Total energy of the system at initial position: E1=12IOA?OA2+12ID?D2+12mDvD2+mOAghOA+mDghD where, ?OA=0 ?D=0 vD=0 hOA=0 hD=0