The figure shows two objects of masses m(1) and m(2). The horizontal surface allows for frictionless motion. The string ties to the two objects is massless and passes over a massless pulley that rotates without friction. If m(1)=5.63 kg and m(2)=1.57 kg, what is the magnitude of the acceleration of the sliding object?
We know that:
- tension m(1) = tension m(2) because they're connected
- mass of m(1), therefore we know the weight because W=mg
- mass of m(2) and we can calculate the weight too
- acceleration is a non-zero value, so Fnet=ma
The Attempt at a Solution
- For the FBD for m(1), the larger object, wouldn't Fnet(x direction) = T= Ma, and Fnet (y direction) = 0 because it's on a flat surface, meaning that the normal and weight cancel out? SO the first equation would be Fnet(x)T=Ma (1)
- For the FBD for m(2), the smaller object, wouldn't Fnet(x direction)=0 since the object is just suspended in the air, and Fnet(y direction)=T-mg... so the 2nd equation would be Fnet(y)T=ma+mg (2)
(I equated Fnet in each axis to mass object * acceleration because they're both moving in that direction)
And since the Tension is the same, you could equate them to each other.. I equated
m(1)a=m(2)a+m(2)g, then isolated for a, but got the wrong answer. What am I doing wrong?!