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- Homework Statement
- Cylinder length 1.2m, mass =0.1kg, radius 0.5cm is released from rest and roll down without slipping down 2 rails connected to the battery of 10V. Rails at angle of 40 degrees. B = 0.01T. The total resistance of rails and cylinder is 250 ohms. Calculate V after it has rolled down 0.45m

- Relevant Equations
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Firstly, I need to determine what the electric field is causing.

Using left hand rule, the force due to the field is acting down the slope.

Hence my FBD looks like:

Where the two arrows pointing towards the right represent the force due to the field and weight of the cylinder.

Since :

##\epsilon = blv##

##I =\frac{\epsilon}{r} = \frac{blv}{R}##

Is it correct to say that:

##ma = mgsin\theta + F_{b} = mgsin\theta + bIl## ?

If so, what do I do next?

Rolling down 0.45m , does that mean I need to compute the time it takes to roll down using Pythagoras theorem? Or am I overthinking here?

Thank you