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## Homework Statement

M1 and M2 are two masses connected as shown. The pulley and the incline are frictionless. Find the mass M1, given that M2 (4.00 kg) accelerates downwards at 3.53 m/s2, and that θ = 32.0°.

## Homework Equations

F = m*a

Fk = u*N

## The Attempt at a Solution

Forces on m1

Fy = T - N - m1*g*sin(theta) = m1*a

Fx = N - m1*g*cos(theta) = 0

Forces on m2

Fy = m2*g*T = m2*a

Using equations above,

T = m2(g-a)

N = m1*g*cos(theta)

m2*(g-a) - m1*g*cos(theta)-m1*g*sin(theta) = m1*a

rearranging for m1

m1 =[m2*(g-a)]/[a+g(sin(theta) + cos(theta))]

Plugging in the correct values, I get 1.47kg for my answer which is... wrong :(

Thank you,

Noobe