A pair of vertical conducting bars are placed in ahorizontalmagnetic field as shown below. A cross bar is placedbetween themand rolls freely on frictionless bearings. The bar hasmass mand length L and together with the rollers forms acompleteconducting loop. The total electrocal resistance (assumeconstant)of the circuit is modeled at the bottom as a singleresistorR.
1. Primary goal is to determine the velocity of the bar asafunction of time by following these steps:
a) Determine the current in the bar as a function ofthevelocity of the bar as it falls. Show direction of i.
b) Draw a FBD (free body diagram) for the bar andwriteNewton's 2nd law for this body.
c) Combine the results above to obtain a differentialequationfor the velocity.
d) Find the explicit function v(t). Find the expressionforthis velocity.
2. How long does it take for the bar to reach 90% oftheterminal velocity? What is the velocity at this time? Usethesevalues: B=0.15T, R=1.4Ohms, L=80cm, m=5.0g
3. Find the position function y(t). With this function andtheabove results, find the location of the bar and the current inthewire at the moment the bar reaches 90% of its terminalvelocity.Starting height of the bar is y=16m and t=0
Please someone help me solve this problem. I have a test attheend of the month and I really need help with these concepts.Thankyou! You will be a lifesaver!!!
