An inclined plane has an 8.00 kg mass resting on it. The plane makes an angle of 28.0° to the horizontal. The coefficient of kinetic friction
is 0.342. A low-mass string is attached to the weight and runs over one of them really good low friction pulley deals where it is attached to a 6.50 kg mass.
(a) What is the tension in the string?
(b) What is the acceleration of the system?
(c) Does the 8.00 kg mass go down the ramp or up the ramp?

Question

An inclined plane has an 8.00 kg mass resting on it.  The plane makes an angle of 28.0° to the horizontal. The coefficient of kinetic friction 
is 0.342.  A low-mass string is attached to the weight and runs over one of them really good low friction pulley deals where it is attached to a 6.50 kg mass. 
(a)    What is the tension in the string? 
(b)   What is the acceleration of the system? 
(c)    Does the 8.00 kg mass go down the ramp or up the ramp?

anonymous · Answer

$$-T + m _{1}gsin28 + \mu _{k}m _{1}gcos28 = m _{1}a$$
$$T - m _{2}g  = m _{2}a$$