Forces and getting acceleration of two objects

[madinsane]

Okay so their are two objects attached together by a massless string and a frictionless pulley. One of them is hanging vertically with mass 5kg the other one is on an incline that makes a 30 degrees angle with the horizontal and is of mass 10 the coefficient of kinetic friction of the incline on the object is 0.205 an they are asking us to get the acceleration

For my solution
I got the total forces in the y direction for object 1 to be mg-T=ma
So (5)(9.8) -T=5a
So T=-5a+(5)(9.8)

For the second I got total f in x as
T+mgsin30-friction=ma
T+(10)(9.8)sin30-(10)(9.8)cos(30)(0.205)=10a
Then I equated the two equations and got a
Is my method cOrrect[/QUOTE]

 

[tiny-tim]

hi madinsane!

Is my method cOrrect

if the incline is downhill, then yes

(if it was uphill, of course, you'd need minus mgsin30°)

 

[madinsane]

hi madinsane!

if the incline is downhill, then yes

(if it was uphill, of course, you'd need minus mgsin30°)

thanks, yes it was downhill :)