How so I solve for Torque 2 mass?

Torque 1= .125Nm
Torque 2= mass? x 9.80 m/s^2 x .253m

the g's cancel ... m2 = m1 * L1 / L2

Torque 2 and mass are both unknowns in a single equation

you need more information

this is what professor wrote I have no idea how to go about solving

m1*g*L1=m2*g*L2

m1=.1016kg
gravity 9.80m/s^s
L1= .126m
m2? L2 =.253m

I just figured it out a few minutes ago.

.1016x.126=.0128016/.253=.05059

or .0506kg

To solve for the mass in the equation Torque 2 = mass * 9.8 m/s^2 * 0.253 m, you can follow these steps:

Step 1: Write down the equation: Torque 2 = mass * 9.8 m/s^2 * 0.253 m

Step 2: Rearrange the equation to solve for mass: Divide both sides of the equation by (9.8 m/s^2 * 0.253 m):

Torque 2 / (9.8 m/s^2 * 0.253 m) = mass

Step 3: Calculate the value on the right-hand side of the equation:

mass = Torque 2 / (9.8 m/s^2 * 0.253 m)

Step 4: Substitute the given values into the equation and calculate the result:

mass = Torque 2 / (9.8 m/s^2 * 0.253 m)
mass = Torque 2 / 2.4474 kg.m^2/s^2

So, to solve for the mass, divide Torque 2 by 2.4474 kg.m^2/s^2.