A uniform rectangle flat plate has mass m and dimensions a by b. use the parallel-axis theorem in conjunction with Table 10.2 to show that it's rotational inertia about the side of length b is 0.3 ma2. 7.92 m from the ro-g astronauts. Treatwhich rotates about itsathe final spertia when two 105-kg792 m from the ro-60. A ship's annegligibleof mass 3tg astronauts. Treatpoint(a)(b)(c)The ancnd seats asFIGURE 10.27 Problem 50considechor hinow treating thesection of sidecube with side61. Starti51. A thick ring has inner radius lR outer radius R, and mass M.Find an expression for its rotational inertia. (Hint: ConsultExample 10.7.)ang!it'sxis.52/ A uniform rectangular flat plate has mass M and dimensions a byb. Use the parallel-axis theorem in conjunction with Table 10.2 toshow that its rotational inertia about the side of length b is §Ma“.53. The cellular motor driving the flagellum in E. coli (see Problem49)exerts a typical torque of 420 pN•nm on the flagellum. If thistorque results from a force applied tangentially to the outside ofthe 15-nm-radius flagellum, what's the magnitude of that force?tarting from62. Αn it reaches63.when it'sg heightBIO54. Verify by direct integration Table 10.2's entry for the rotationalinertia of a flat plate about a central axis. (Hint: Divide the plateand ro-Own as the ut itsIf the potter's foot pushes at the outer edge ofwheel with a 60-N force for one-eighth of a D105-kghe ro-the final speed?60. A ship's anchor weighs 5.0kN. Its cablenegligible mass and is wound around aof mass 380 kg and radius 1.1 m, mouThe anchor is released and drops 16considerations to determine the drumchor hits the water. Neglect the cab61. Starting from rest, a hollow ballangle 0 to the horizontal. Findit's gone a distance d along the62. A hollow ball rolls along a hoencounters an upward inclinincline, what maximum heig63. As an automotive engineefuel economy of your corotational kinetic energyTreat(a)point(b)(c)FIGURE 10.27 Problem 50theide51. A thick ring has inner radius !R. outer radius R, and mass M.deFind an expression for its rotational inertia. (Hint: ConsultExample 10.7.)52, A uniform rectangular flat plate has mass M and dimensions a byD. Use the parallel-axis theorem in conjunction with Table 10.2 toshow that its rotational inertia about the side of length b is §Mª´ .53. The cellular motor driving the flagellum in E. coli (see Problem 49)exerts a typical torque of 420 pN •nm on the flagellum. If thistorque results from a force applied tangentially to the outside ofthe 15-nm-radius flagellum, what's the magnitude of that force?54. Verify by direct integration Table 10.2's entry for the rotationalinertia of a flat plate about a central axis. (Hint: Divide the platectrins narallel to the axis.)BIOin fuel consumption, anthe wheels' rotational eenergy. You propose a20% lower rotation:nort for the decr000station, The

Question

Accepted Answer

Given :
A uniform rectangular plate of mass M.
Dimensions are a by b.
We have to show that its…

A uniform rectangular flat plate has mass M and dimensions a by b. Use the parallel-axis theorem in conjunction with Table 10.2 to show that its rotational inertia about the side of length b is Ma.