Question

A yo-yo of mass M = 0.125 kg and outer radius R that is 2.00 times greater than the radius of its axler is in equilibrium if a mass mis suspended from its outer edge as shown in the figure below. Determine the tension in the two strings, T, and T, and the mass m. T: T2 - N kg N m-

Answer 1

Given that R=2r AT Now, Tz = mg M=0.125kg R To T2 for systemt to be in equilibrium torque about centre should be balanced. Thus mg Tir O = T₂ R - T. 0= mg T = Now, net upward & downward forces, T, = Mg + Tz mg + Tz = Mg+mg =(M+m) 2m = Mim Zing= (1+mg = thus, (m= 0.125 Kg mg (29) M=m Hence, T2= ..' mg = = 0.125 x 10 N = 1.25 N g= 9.81 m/² = 10 mla2 & TI - 2mg = 2x 1.25 N = 2.50 N thus, we get Ti=2.50N T2 = 1.25 N & m= 0.125 kg