1. The problem statement, all variables and given/known data Find the the acceleration, a[/i, and the Tension, T, in the system shown below if (a) m1 = 5 kg and (b) m1 = 2 kg. assume the coefficient of kinetic fricton on the incline plane is µk = 0.1. Other relevant information: Mass 1 is a 5 or 2 kg block on a 30 degree incline plane (based so that Fy is Fsin(30) ) connected to a massless rope that holds Mass 2, a 5 kg block, over a pulley. 2. Relevant equations Ff = (µk)(Fn) w = mg (acceleration due to gravity is assumed to be 10 m/s^2 for easy calculation according to the professor) Fnet = ma 3. The attempt at a solution I solved for the weight of mass 1 as being: m1 = 5 kg: W = 50 N * sin(30) = 25 N m2 = 2 kg: W = 20 N * sin(30) = 10 N And found force of friction: Ff = 0.1 * 25 N = 2.5 N The weight of block m2: w = 10 m/s^2 * 5 kg = 50 N I tried creating a FBD for block m1, where the following forces were applied: W = 25 N Fn = 25 N Ff = 2.5 N F = Wm2 (Wm2 = 50 N) And a FBD for block m2, where: W = 50 N Except, I'm confused where to go from here now. I know I have to calculate tension still. I'm thinking that the total force being applied on m1 according to Newton's 2nd Law is: Fnet = ma - Ff = 50 N - 2.5 N = 47.5 N And acceleration is: a = 47.5 N / 5 kg = 9.5 m/s^2 2nd attempt: I know Fnet = ma - T. and Fnet is not 0 N, it's 50 N. Since the rope is massless the tension is 2T = 100 N. I therefore arrive at the following answers of: a = 9.5 m/s^2 T = 100 N Does this look right?