Question

In-Class Practice 10 Ratation of a Rigid Body (Ch. 12) 11-12-2019 Last Name: First Name: Table Score: I. a) Find the montent of inertia ofa tlrin, uniform rod of length I and mass M that rotates about a pivot at one end, b) Find the moment of inerti of à thin, uniform rod of length L and mass M that rotates about an axis one-third of the lenath from ena end 2. A 3.0-m-long ladder leans ae inst a Irictionless wall at an angle of 60°. What is the minimum value of the coefficient of static frict with the ground, that prevant the ladder from slipping? L= 30 m Ceever of mass 0 pbou 60 this poin Stalc friction Gravity acis at the center of mass prevents slipping

Answer 1

1 a clemeit frem x dishance trom Ais of Rotion amd dhect elemeut dength cf d max of dr. Suoe the dm is the dm- Myd . tohene Me Mas of Rocl L dI dmx2 2 L ML 16 Idx fame As mentfon above Jake elemet frem amd dm is the mas of that elment

M dx d m = Rod M:Max Leiyti f 2 7h -13 3 2/3 13 3 L I = 3 / &3 + 91 32 27 MxE 3 X2 3 2 MR $1

gttic Eqetoto cn ZF- O 3rm Z7=0 Tnet o . EF 0 n2-0 Fy-0FG = Fa and@ dewide the ea fs= Mm 712 FG m 2 .. Liract will be-us - ) -0 at thect paint about et Pa Go we caleut THe d:o For fs amd n, So their T- o (ns+Fx d) touterclockwise tlectwise

3 m 4/ = 1c0860 2.6m 3x J3- d2 Lsin60 24 Fax us New am d m2 FG d, from di 3 4x2-6 d2 -0.38