babe 6points) Two masses, mi and my, are falling but not freely. In addition Fa Agravity, there is also a force Fa pushing on my at an angle 0, down from the horizontal in the direction that pushes my against my. Friction us) is present between the two masses and the force is applied such that mz the masses do not rotate. The force Fa is as large as it can be and not have my slide relative to mz. (a) Find an expression for the acceleration of the center of mass of the mi + my system in terms of my, mz, Fa, 0, and g? (b) Draw a FBD for each mass separately. Identify motion constraints and Newton's 3rd law force pairs. (c) Write down Newton's 2nd law applied to each mass sepa- rately in terms of the variables given. Extra credit: If both masses are each 200 kg, the coefficient of static friction between the surface is us = 1/2, and 0 = 45, what is the value of Fa? F10 ( 12 ) 2 Fx => IF a/ COSO = ( M.+ my ) ay., xet [Fy => Filsing +(mitm, ) q = ( M. + my) axis Foose Fasing + (mi+my)g a 2 = Mit my 1 Mitmy FBD (1) FBD() F.P.'s Constraints Ffis = - Ff. = FAs a. = a, = as = a Fa FM = - FN = FN DEF . => FN = M, ax 21 EFX => Facoso - FN = M , ax E Fy => F'sno + mg - Mg FN = Man