ch14-p007 - 7(a The pressure difference results in forces...

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7. (a) The pressure difference results in forces applied as shown in the figure. We consider a team of horses pulling to the right. To pull the sphere apart, the team must exert a force at least as great as the horizontal component of the total force determined by “summing” (actually, integrating) these force vectors. We consider a force vector at angle θ . Its leftward component is Δ p cos dA , where dA is the area element for where the force is applied. We make use of the symmetry of the problem and let dA be that of a ring of constant on the surface. The radius of the ring is r = R sin , where R is the radius of the sphere. If the angular width of the ring is
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