1. ## physics, force stuff

Mass m1=25.7 kg is on a horizontal surface, connected to mass m2= 5.10 kg by a light string as shown. The pulley has negligible mass and no friction. A force of 222.5 N acts on m1 at an angle of 30.9o.The coefficient of kinetic friction between m1 and the surface is 0.233. Determine the upward acceleration of m2.

2. Originally Posted by sarabolha
Mass m1=25.7 kg is on a horizontal surface, connected to mass m2= 5.10 kg by a light string as shown. The pulley has negligible mass and no friction. A force of 222.5 N acts on m1 at an angle of 30.9o.The coefficient of kinetic friction between m1 and the surface is 0.233. Determine the upward acceleration of m2.

As shown >> where is it ?

3. its just making a referece to the picture, the light string is what is connecting the two masses...

4. I'm guessing $m_2$ is a hanging mass.

let T = magnitude of the tension in the string between $m_1$ and $m_2$.

F = magnitude of the applied force on $m_1$

N = magnitude of the normal force on $m_1$ by the horizontal surface

net force on $m_2$ ...

$T - m_2g = m_2a$

net force on $m_1$ ...

$F\cos(30.9) - \mu N - T = m_1a$

where ...

$N = m_1g - F\sin(30.9)$

$m_1$ and $m_2$ will experience the same magnitude of acceleration ... solve the system of equations for "a".