calculate the center of mass of semicircular lamina using expression (prove 8.1.14) Bodies: Planar Motion0SemicircleTo find the center of mass of a thin wire bent into the form of a semicircle of radius a, weuse axes as shown in Figure 8.1.2. We havedl = a dodlX7cmz = a sin 0p(a sin a doSpade7cm =2aT4a3π(8.1.11)(8.1.12)Semicircular LaminaIn the case of a uniform semicircular lamina, the center of mass is on the z-axis(Figure 8.1.2). As an exercise, the student should verify that(8.1.13)(8.1.14)

Answered: Image /qna-images/answer/7ba98d68-1644-44a0-993f-efd05e176416.jpg

Bodies: Planar Motion Semicircle To find the center of mass of a thin wire bent into the form of a semicircle of radius a, we use axes as shown in Figure 8.1.2. We have dl = a do dl x Zcm za sin 0 Spla sina de pado 7cm 2a T 4a 3π (8.1.11) (8.1.12) Semicircular Lamina In the case of a uniform semicircular lamina, the center of mass is on the z-axis (Figure 8.1.2). As an exercise, the student should verify that (8.1.13) (8.1.14)

Bodies: Planar Motion Semicircle To find the center of mass of a thin wire bent into the form of a semicircle of radius a, we use axes as shown in Figure 8.1.2. We have dl = a do dl x Zcm za sin 0 Spla sina de pado 7cm 2a T 4a 3π (8.1.11) (8.1.12) Semicircular Lamina In the case of a uniform semicircular lamina, the center of mass is on the z-axis (Figure 8.1.2). As an exercise, the student should verify that (8.1.13) (8.1.14)