(Solved): A 34.1- \( k g \) block \( \left(\mathrm{m}_{1}\right) \) is on a horizontal surface, connected to ...

A 34.1- \( k g \) block \( \left(\mathrm{m}_{1}\right) \) is on a horizontal surface, connected to a 5.9- \( k g \) block \( \left(\mathrm{m}_{2}\right) \) by a massless string as shown in the Figure. The pulley is massless and frictionless. A force of \( 218.5 N \) acts on \( \mathrm{m}_{1} \) at an angle of \( 32.3^{\circ} \). The coefficient of kinetic friction between \( \mathrm{m}_{1} \) and the surface is \( 0.241 \). Determine the upward acceleration of \( \mathrm{m}_{2} \).