Question

Prob. 3 The system shown has 4 particles at the corners of a square of side connected by only tiwo slender bars that lie along the two diagonals of the square. Each particle and each bar has a mass m = 2 kg. Determine the mass, locate the center of mass G of the system, and determine its moment of inertia and radius of gyration about G. L = 600 mm. The particles are

Answer 1

Pooblem 3 0 Length of tme sides of the square is, L-600 mm Massof eaeh pantic le and eaelv ban is, m-2 囲From ths. Symchn -of the Pooblem, wecan, Sa thast m locati na center of mass st r ume OD, OC, ΟΒΌΑ are equivalent. So, if we calculale theme-cnt of inentia of any of tham, tn all otha moment of inenia will be same Lets do tmat,

Lea oF OD is To calculate tne mntnentia of oD, obout O, we Poave to calculate the moment of of mass m loealeà. ad D about point o about the peperdi culan oxis ad on- end t aiven 명

0 -TKe momun+ ‘f inlyitia of.tn, mass m loaded TM 0.36 CNDOvw Pen-endiculan axis passing tarong F O.L42 꺼 about point o (ie. cente of massts

圆Tomd mass me-system M=12 2 Obont centev of nras s 12