Question

A uniform rod of mass 2.00 kg and length 2.00 m is capable of rotating about and passing through its center and perpendicular to its length. A mass m, m, 2.70 kg is attached to the other end of the red treat the two massess point partides. 5.50 kg is attached to one end and a seconds (a) What is the moment of inertia of the system in kg.my (6) If the rod rotates with an angular speed of 2.60 rad/s, how much kinetic energy in joules, does the system have (c) Now consider the rod to be of negligible mass. What is the moment of inertia of the rod and masses combined, in kom (d) the rod is of n oble mass, what is the kinetic energy, in joules, when the angular speed is 2.60 radis?

Answer 1

G1ever MEmass ef cd a.O kg LeLength of reod 2-0 m m cs f objed s.50 Ké m2Ancherc mmase 8.0 KS We Kraw moment cfnerctia o a having nd#vidual moment of nerctia Moment of nerctča Cf rcod rsotating about Centree cf ax C2.0 K) .Om 2 K4 m 0.6667 Kn 12 12 12 Moment of nerctia of object-1 ottng about Center of ass a distarce at t freo othe re end. 4 4 T Moment of nerctia of object-a octating about center af ar at listance a L P Cherend. 2.70K(m 2-70 K.m2 4 4 Ttrtal T, +I +Tg Jtctal (0.6667 +5.50 t 2.40) = 8.8G Kam > Given anfulvs Speed t 2.60 Fad Retationkinetic energy K.E T 8.86 29.9468 Nezo rcod i baving negtiible mass mL -> meo T,O Tctal O+ 5.50 t8.70 5.50 K. m2 4 8.20 K. २ 4

d) 2.60 0ad 2 2 K.E T 27. 716 J .20 K.mxa.60 Tad 2子,716 J K. E (1