Harry Potter (back to his normal size) has discovered that hismagic wand is exactly one meter long. After some coaxing fromHermione, Harry is persuaded to mark off his wand in centimeters.Scabbers, the rat, (of mass 0.350 kg) is clinging tightly to the70-cm mark of Harry's wand (of mass 0.100 kg.)Model Scabbers as asphere of radius 5 cm. (He's put on a little weight lately.) asHermionne rotates the wand in mid air, (as if on a horizontal,frictionless table) with an angular speed of 3.00 rad/s. Harryquickly calculates the moment of inertia and angular momentum ofthe wand-rat system when the wand is pivoted about an axis
(a) perpendicular to the plane of rotation through the 55.0-cmmark and
I = kg·m2
L = kg·m2/s
b) perpendicular to the plane of rotation through the 0-cmmark.
I = kg·m2
L = kg·m2/s