What is the tension in the string for a frictionless pulley-incline system?

[physics1234]

Two packing crates of masses m1 = 10.0 kg and m2 = 7.00 kg are connected by a light string that passes over a frictionless pulley. The 7.00 kg crate lies on a smooth incline of angle 43.0°. Find the acceleration of the 7.00 kg crate up the incline. Find the tension in the string.

I found the acceleration (correctly) to be 3.0126 but I can't seem to get the tension part of the question. I tried the formula T=(m2)(g)(sinTHETA)+(m2)(a) using 7(3.0126)sin43+7(3.0126) and 10(3.0126)sin43+10(3.0126) but neither gave the correct answer.

 

[FunkyDwarf]

This might be oversimplifying it a bit but shouldn't f=ma work?

 

[physics1234]

What would you use as the mass? 98 isn't the right answer.

 

[RoyalewithCh33s3]

Well, I'm just wondering on this one...but isn't the T of the string that is holding the block on the incline equal to the T of the string holding the hanging block?

So how would you figure out T on the hanging block?

 

[FunkyDwarf]

well no because theyre moving theyre not in equilibrium, i assume?

just write out how you got the accel so we can see how ur goin about this as i agree with ur workin for T so maybe accel is wrong? ( i know you said you got it right but just check)

 

[RoyalewithCh33s3]

Wouldn't they be moving in equilibrium? The string is not growing shrining, they are just shifting arent they?

 

[physics1234]

I got the acceleration by a= (m2-m1sinTHETA/m1+m2)g so it was (10-7sin43/17)(9.8) = 3.0126

We can check to see if we got them right on the internet so that's definitely the right answer, i just can't figure out the second part.

 

[yesiames]

I got the acceleration by a= (m2-m1sinTHETA/m1+m2)g so it was (10-7sin43/17)(9.8) = 3.0126

We can check to see if we got them right on the internet so that's definitely the right answer, i just can't figure out the second part.

try using the equation T= m1(g-a) = (10.0kg)[(9.80 - 3.0126) m/s^2] = 67.9N

i'm sure that's right cause i just did the same problem for hw.
good luck