A pick-and-place robot arm, shown in Fig. 2.80, carries an object of mass \(5 \mathrm{~kg}\). Find the natural frequency of the robot arm in the axial direction for the following data: \(l_{1}=0.3 \mathrm{~m}, l_{2}=0.25 \mathrm{~m}\), \(l_{3}=0.2 \mathrm{~m} ; \quad E_{1}=E_{2}=E_{3}=69 \mathrm{GPa} ; \quad D_{1}=50 \mathrm{~mm}, \quad D_{2}=38 \mathrm{~mm}, \quad D_{3}=25 \mathrm{~mm} ;\) \(d_{1}=45 \mathrm{~mm}, d_{2}=32 \mathrm{~mm}, d_{3}=20 \mathrm{~mm}\).

Transcribed Image Text:

-- |A A E B B C E2 E3 Hd d3 D D Section AA Section BB Section CC FIGURE 2.80 Robot arm carrying an object.