M1 and M2 are two masses connected as shown. The pulley is light (massless) and frictionless.
Find the mass M1, given that M2 (3.5 kg) accelerates downwards at 2.77 m/s2, θ is 25o, and μk is 0.37.
F = ma
F = mg
Ff = μkN
The Attempt at a Solution
Here's what I've done:
Calculated the force acting on m2 (hanging block)
Fma=3.5 * 2.77
T=Fg - Fma
Now on to second block
I know these forces are acting on it:
T - Ff - x component of gravity
N - y component of gravity
x = m*g*sin(θ), y = m*g*cos(θ)
I'm only concerned about the forces in the X direction. I know it's accelerating at 2.77 m/s^2
Here's what I put in my calculator
I get 3.4 kg
I have no clue what I'm doing wrong here. This makes sense to me, I really don't understand what I'm missing. Any advice would be greatly appreciated.
The only thing I can think of is if N =/= m*9.81*cos(25) which would throw me off. But I can't figure out why it wouldn't be.