Question

Consider two masses, M = 3.0 kg and M2 = 2.5 kg, connected by a strong cord of negligible mass that extends over a frictionless pulley. Mass M is placed on a surface that makes an angle of 30° with respect to the horizontal, while mass M2 is hanging freely. The coefficient of kinetic friction between the surface and the mass is Hi = 0.25. a) Draw Free Body diagrams for the two masses b) Write the equations for the two masses in the direction of motion (both x and y direction) c) Find acceleration of the system. d) Find the tension in the string connecting the two blocks. M = 3.0 kg H=025 M. - 2.5 kg 30°

Answer 1

my Ja I miglas & mag Migsind he Ermit 6 T-mg 2 block m2, T block m, Sfy=0 N = mg Go - srxama Sino-fic= m, a T-mi gsino-um, glad = m, a {fy=ma m₂g-T = mza 3 2) +(3 gives g [m m, lg sindt u cand) = (m, tm) a 9.8 [2.5-3 ( sin30+ 0.25 ( 30%)] 3+205) a 0.62 m/s2 As from 3 Ta malg -a) - 2.5(9.8 -0.62) 22.95 N Aug