Question: Two balls with masses M and m are connected by a rigid rod of length L and negligible mass as in Figure P10.22. For an

Two balls with masses M and m are connected by a rigid rod of length L and negligible mass as in Figure P10.22. For an axis perpendicular to the rod, show that the system has the minimum moment of inertia when the axis passes through the center of mass, Show that this moment of inertia is I = μL2, where 7 = mM/(m + M).

Two balls with masses M and m are connected

Figure P10.22

Step by Step Solution

3.44 Rating (144 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

1Mx mLx dI 2Mx2mLx0 for an extremum dx x mL Mm d1 2m 2M ther... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

P-M-R-R (22).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!