A uniform sphere has mass M and radius r. A
Chapter 6, Problem 6.74(choose chapter or problem)
A uniform sphere has mass M and radius r. A sphericalcavity (no mass) of radius r /2 is then carved within thissphere as shown in Fig. 6-32 (the cavitys surface passesthrough the spheres center and just touches the spheresouter surface). The centers of the original sphere and thecavity lie on a straight line, which defines the x axis.With what gravitational force will the hollowed-out sphereattract a point mass m which lies on the x axis a distance dfrom the spheres center? [Hint. Subtract the effect ofthe small sphere (the cavity) from that of the larger entiresphere.]FIGURE 6-31 69. FIGURE 6-32 74.
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