How Do You Calculate Acceleration and Tension in a Two-Body Pulley System?

[moe6142]

Diagram

Homework Statement

Consider the two body system above. There is a 0.25kg object accelerating across a rough surface. The sliding object is attached by a string to a 0.1kg object which is suspended over a pulley. the coefficient of kinetic friction is 0.183. Calculate the acceleration of the block and the tension in the string.

Homework Equations

Fg=mg
Fnet=ma

The Attempt at a Solution

i got the acceleration to be 1.5...m/s^2 i don't know if it is right

fn=fg=mg 0.25 x9.81m/s^2 =2.4525N
ff=ufn
ff=0.183 x 2.4525N =0.4488075 ff=fg since fn=fg

fg2= 0.1 x 9.81 =0.981 then subtracted them to get fnet then divided

 

[seagulloftime]

Let the driving force (weight of the hanging block-friction of the block on the surface)=the combined mass time acceleration. To solve for a.

mg-Mgu=(m+M)a.

The tension in the string should be the force required to drive the block on the surface against friction at a.

T=Ma+Mgu.



*or so I think, it's been a while since I have done such problems.