Ratio of Tensions: Solving for T1/T2 with Connected Blocks and Constant Tension

[gmunoz18]

Homework Statement

Two blocks, masses m1 and m2, are connected by a massless cord as seen below. If the two blocks are pulled with a constant tension on a frictionless surface by applying a force of magnitude T2 to a second cord connected to m2, what is the ratio of the tensions in the two cords T1/ T2 in terms of the masses?

M1$$\stackrel{T1}{\rightarrow}$$M2$$\stackrel{T2}{\rightarrow}$$

I am completely confused by this statement; any hints would be greatly apprecitated

 

[Gear300]

The system moves due to a force applied along the second cord (T2), which pulls both M2 and M1. Net force is mass*acceleration...considering the situation is ideal, the acceleration for the 2 blocks is the same. Using this, you could find the ratio T1/T2.

 

[PhanthomJay]

Homework Statement

Two blocks, masses m1 and m2, are connected by a massless cord as seen below. If the two blocks are pulled with a constant tension on a frictionless surface by applying a force of magnitude T2 to a second cord connected to m2, what is the ratio of the tensions in the two cords T1/ T2 in terms of the masses?

M1$$\stackrel{T1}{\rightarrow}$$M2$$\stackrel{T2}{\rightarrow}$$

I am completely confused by this statement; any hints would be greatly apprecitated

The problem is asking you to determine the tension in the cord between the 2 blocks, when the blocks are pulled by the given value, T2, of the second cord. The blocks must move together and accelearte at the same rate. Try using Newton 2 to calculate the acceleration of the 2 blocks as they move together, then isolate the first block in a free body diagram to determine T1, and the T1/T2 ratio.