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Chapter 8: 8-11Q (page 198)
Two spheres look identical and have the same mass. However, one is hollow and the other is solid. Describe an experiment to determine which is which.
The sphere with larger rotational inertia is hollow, and the smaller rotational inertia is a solid sphere.
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Figure 8鈥�59 illustrates an \({{\bf{H}}_{\bf{2}}}{\bf{O}}\) molecule. The \({\bf{O - H}}\) bond length is 0.096 nm and the \({\bf{H - O - H}}\) bonds make an angle of 104掳. Calculate the moment of inertia of the \({{\bf{H}}_{\bf{2}}}{\bf{O}}\)molecule (assume the atoms are points) about an axis passing through the center of the oxygen atom (a) perpendicular to the plane of the molecule, and (b) in the plane of the molecule, bisecting the \({\bf{H - O - H}}\) bonds.
FIGURE 8-59 Problem 82
An oxygen molecule consists of two oxygen atoms whose total mass is \({\bf{5}}{\bf{.3 \times 1}}{{\bf{0}}^{{\bf{ - 26}}}}\;{\bf{kg}}\) and the moment of inertia about an axis perpendicular to the line joining the two atoms, midway between them, is \({\bf{1}}{\bf{.9 \times 1}}{{\bf{0}}^{{\bf{ - 46}}}}\;{\bf{kg}} \cdot {{\bf{m}}^{\bf{2}}}\). From these data, estimate the effective distance between the atoms.
If the coefficient of static friction between a car鈥檚 tires and the pavement is 0.65, calculate the minimum torque that must be applied to the 66-cm-diameter tire of a 1080-kg automobile in order to 鈥渓ay rubber鈥� (make the wheels spin, slipping as the car accelerates). Assume each wheel supports an equal share of the weight.
An automobile engine develops a torque of at 3350 rpm. What is the horsepower of the engine?
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