Question

2. A recta A rectangular block, with face lengths a and b, is to be suspended on a thin horizontal rod running through a narrow hole in the block. The block is then to be set swinging about the rod like a pendulum, through small angles so that it is in SHM. The figure shows one possible position of the hole, at distance r from the block's center, along a line connecting the center with a corner. (a) For what value of r (in terms of a and b) does the minimum the period of the pendulum occur? (b) There is actually a line of points around the block's center for which the period of swinging has the same minimum value. What shape does that line make? Justify your answer

Answer 1

the inutia Ne Kno e mement about Whena Mres M AB is oment tnntia about a-xis I = 1cm t +MAR 11 +b t 12 13- the time pnind albont tis aris h- Ditorer t 2 n 1= Trinimum 7uill be P (i2 2 37 Ams. Lt the e-nnat t th point is -Crtt) The line is cinoul e Am Shape