Not sure how to do 2 body problem

[yesiammanu]

Homework Statement

Look below for diagram

Mass m₁is on an inclined plane and weighs 1.00 kg. The inclined plane creates a 40.0 degree angle with the ground, and μ_k = 0.225. Mass m1₁ is attached to a weight hanging off the edge via pulley, called M₂. M₂ has a mass of 1.50kg and hangs from a height h of 50.0 cm. When the system is released from rest, how long will it take M₂ to hit the floor? Assume the static frction is exceeded by the weight of M₂

Homework Equations

d=1/2(a)(t²)
f=ma (or f = mg)
f1 = MgSin∅
f2 = mg
a = net force/net weight
a = (m₂g-m₁gsin∅)/(m₁+m₂) - not sure how this was derived, was in my book

The Attempt at a Solution

a=(1.5 kg ) (9.8 m/s²)-(1 kg ) (9.8 m/s2) sin(40)
(1 kg )+(1.5 kg )

This solution feels wrong and I'm very sure I did it wrong. Please look it over for me; I'm terribly confused by this problem.

 

[yesiammanu]

Sorry for bumping but still looking for help on this

 

[gneill]

Homework Statement

Look below for diagram

Mass m₁is on an inclined plane and weighs 1.00 kg. The inclined plane creates a 40.0 degree angle with the ground, and μ_k = 0.225. Mass m1₁ is attached to a weight hanging off the edge via pulley, called M₂. M₂ has a mass of 1.50kg and hangs from a height h of 50.0 cm. When the system is released from rest, how long will it take M₂ to hit the floor? Assume the static frction is exceeded by the weight of M₂

Homework Equations

d=1/2(a)(t²)
f=ma (or f = mg)
f1 = MgSin∅
f2 = mg
a = net force/net weight
a = (m₂g-m₁gsin∅)/(m₁+m₂) - not sure how this was derived, was in my book

The Attempt at a Solution

a=(1.5 kg ) (9.8 m/s²)-(1 kg ) (9.8 m/s2) sin(40)
(1 kg )+(1.5 kg )

This solution feels wrong and I'm very sure I did it wrong. Please look it over for me; I'm terribly confused by this problem.

What happened to the dynamic friction between the first mass and the ramp?

List all the forces acting on the individual masses, then draw a Free Body Diagram for each. From that you should be able to write equations pertaining to each body and solve for their shared acceleration.