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## Homework Statement

**this is not a homework question, I'm just solving practice questions for exam preparation**

Two wheels with masses M1 = 2 kg and M2 = 4 kg are connected.

The ratio is R1 = 5 cm and R2 = 10 cm

Considering an angular velocity of ωo = 10rads

^{-1}

for the small wheel and a constant angular acceleration of α = 1

rads

^{-2}

What will be the torque τ required to stop the system after 20 s within a

period of 2 s?

## Homework Equations

T

_{1}ω

_{2}=T

_{2}ω

_{1}

and

P = E/t

## The Attempt at a Solution

I already found the energies of the Gears,

E

_{1}= 1.125J and E

_{2}=2.25J

but I have no idea how to find the torque needed to stop them in 2 seconds. I'm not even sure if I'm on the right track. I have like 3-4 A4 sheets worth of work all scribbled on/crossed out...

actually my problem is that if I work out the Torques, their ratio comes out at 0.25 rather than 0.5, so I'm not sure what to do.