## Banked Curve

**Banked Curve ITEMS SHOWN INCLUDE THOSE AVAILABLE ON EBAY: **

AFX Banked Curve 12 Radius HO Slot Car Track Sections 70625$24.49 Time Remaining: 18d 15h 18m Buy It Now for only: $24.49 |
AFX Banked Curve 9 Radius HO Slot Car Track Sections 70622$17.69 Time Remaining: 10d 11h 13m Buy It Now for only: $17.69 |
TYCOPRO HI BANKED CURVE SET IN BOX ESTATE SALE FIND$5.00 Time Remaining: 2d 1h |

1972 Aurora AFX Model Motoring Hairpin Banked Curve 2544 Track VGC$12.99 Time Remaining: 6d 14h 7m |
AURORA AFX BANKED CURVE SUPPORTS FOR DAYTONA MONZA WORKS W TOMY SET OF 4$11.99 Time Remaining: 18d 4h 33m Buy It Now for only: $11.99 |
AW AFX TOMY 18 INCH BANKED CURVES 4 PIECES TOTAL NEW NEVER BEEN USED TRACK HO$34.99 Time Remaining: 22d 7h 2m Buy It Now for only: $34.99 |

2 Aurora 1972 AFX Model Motoring Banked S Curve 2543 Track VGC$14.99 Time Remaining: 6d 14h 38m |
Aurora HO slot car Model Motoring track lot banked curve straight speciality$20.50 (5 Bids) Time Remaining: 1d 15h 58m |
AURORA TOMY AFX 12 1 8R BANKED CURVES MIB 1989$5.99 Time Remaining: 1d 6h 7m |

SCX 1 SET 88680 BANKED CURVE BLACK TRACK WITH SUPPORTS AND BARRIERS$15.30 Time Remaining: 11d 7h 59m Buy It Now for only: $15.30 |
AFX 70625 12 Banked Curve Track 6 HO Scale Slot Car Track$26.95 Time Remaining: 5d 14h 5m Buy It Now for only: $26.95 |
AURORA MODEL MOTORING BANKED CURVE ADAPTERS 2 PC VERY NICE CONDITION$9.99 Time Remaining: 1d 14h 53m Buy It Now for only: $9.99 |

AURORA T JET HO SCALE SLOT CAR LOT Of 2 MONZA BANKED CURVES 1467$15.50 (3 Bids) Time Remaining: 4d 16h 43m |
4 LIFE LIKE Slot Car Race 12 BANKED CURVE Tracks 9928 GREAT AddOn Bank OK USED$14.99 Time Remaining: 6d 17h 21m Buy It Now for only: $14.99 |
AFX 12 Banked Curve Track HO Slot Car 70625$24.59 Time Remaining: 3d 10h 20m Buy It Now for only: $24.59 |

Tyco Banked Curve Slot Car Track$10.00 Time Remaining: 4d 14h 51m Buy It Now for only: $10.00 |
Carrera R3 High Banked Curve 3 30 slot car track 6 pk 20576$51.95 Time Remaining: 15d 9h 17m Buy It Now for only: $51.95 |
Latest AFX70625 12 Banked Curve HO Scale Slot Car Track$23.75 Time Remaining: 4d 12h 7m Buy It Now for only: $23.75 |

pre owned scx digital banked curve$50.00 Time Remaining: 1d 14h 34m Buy It Now for only: $50.00 |
AURORA AFX 12 INCH BANKED CURVE NEW IN PACK 2545 CA 1971$29.99 Time Remaining: 16d 11h 50m Buy It Now for only: $29.99 |
Tyco Banked Curve B5852$10.00 Time Remaining: 26d 12h 50m Buy It Now for only: $10.00 |

Banked Curve 12 Radius HO Slot Car Track Sections 70625$31.58 Time Remaining: 2d 22h 58m Buy It Now for only: $31.58 |
AFX 9 Banked Curve Track HO Slot Car 70622$21.95 Time Remaining: 15d 11h 1m Buy It Now for only: $21.95 |
Strombecker Slot Car Track High Banked Curve 1 32 30458 Monza Curve$10.00 (1 Bid) Time Remaining: 3d 11h 17m |

LOT OF 8 TYCO SLOT CAR TRACK 4 HIGH BANKED CURVES 4 9 TRANSITION STRAIGHTS$3.99 Time Remaining: 2d 18h 41m |
Latest AFX70622 9 Banked Curve 1 8 6 HO Scale Slot Car Track$17.75 Time Remaining: 24d 6h 59m Buy It Now for only: $17.75 |
AURORA AFX BANKED CURVE SUPPORTS FOR DAYTONA MONZA WORKS W TOMY SET OF 42$14.99 Time Remaining: 1d 15h 14m Buy It Now for only: $14.99 |

AFX HO 9 Radius Banked Curve Track HO Scale Slot Car Track 70622$23.20 Time Remaining: 15h Buy It Now for only: $23.20 |
Carrera R1 High Banked Curve 1 30 slot car track 6 pk 20574$34.95 Time Remaining: 20d 4h 41m Buy It Now for only: $34.95 |
4 Tyco Black 9 Radius Banked Curve Track Sections Vintage B5852$9.00 Time Remaining: 6d 14h 54m Buy It Now for only: $9.00 |

AFX 12 Banked Curve Track 6 AFX70625$29.99 Time Remaining: 17d 9h 2m Buy It Now for only: $29.99 |
Red Revell 1 24 Scale Slot Car Monza Banked Curve$9.99 (1 Bid) Time Remaining: 1d 15h |
Ferrari Face Off Mattel Hot Wheels F50 TYCO Hi Banked Curve HO Slot Car Race Set$179.99 Time Remaining: 9d 9h 1m Buy It Now for only: $179.99 |

Blue Revell 1 24 Scale Slot Car Monza Banked Curve$9.99 (1 Bid) Time Remaining: 1d 15h 2m |
LIFE LIKE 12 INCH BANKED CURVE 4 12 INCH CURVES WITH 3 CURVE CLIPS$20.98 Time Remaining: 9d 1h 1m Buy It Now for only: $20.98 |
AURORA MODEL MOTORING BANKED CURVE ADAPTERS W WEDGES CURVES HRDW VN$19.99 Time Remaining: 1d 13h 45m Buy It Now for only: $19.99 |

1980 Bachmann 1 32 Supertrax Slot Car HI BANKED CURVE TRACK Boxed +LockLugs 6015$19.99 Time Remaining: 1d 8h 56m Buy It Now for only: $19.99 |
1973 Aurora AFX 12 Radius Daytona Banked Curve 1 2 circle HO Slot Car Track NOS$49.99 Time Remaining: 26d 6h 33m Buy It Now for only: $49.99 |
1973 Aurora AFX 12 Radius Daytona Banked Curve 1 2 circle HO Slot Car Track NOS$49.99 Time Remaining: 26d 6h 31m Buy It Now for only: $49.99 |

AURORA MODEL MOTORING BANKED CURVE ADAPTERS W CURVES HARDWARE VN CLEANED$11.99 Time Remaining: 21d 14h 4m Buy It Now for only: $11.99 |
3ct Tyco Mattel Grey Banked Curve Grey HO Slot Car Track Working$7.95 Time Remaining: 22d 16h 23m Buy It Now for only: $7.95 |
Used Revell 1 24 Scale Slot Car Monza Banked Curve Set NO CARS$26.00 (8 Bids) Time Remaining: 3d 14h 58m |

Vintage 1972 Aurora xlerators 15 radius banked curve ENTRANCE section$16.99 Time Remaining: 16d 4h 42m Buy It Now for only: $16.99 |
4 Tyco 9 Radius Banked Curve Track Sections In Good Condition Free S$16.95 Time Remaining: 29d 15h Buy It Now for only: $16.95 |
Eight 8 New Autoworld Nascar 18 inch Banked 1 8 Curve Tracks works with Tomy AFX$49.95 Time Remaining: 19d 3h 9m Buy It Now for only: $49.95 |

AURORA MODEL MOTORING MONZA BANKED CURVE TRACKS BRACKETS IN BOX EXC RARE$29.99 Time Remaining: 16d 11h 27m Buy It Now for only: $29.99 |
Vintage Lot Aurora Model Motoring AFX 87 Pc Track Banked Daytona Curve More$93.99 Time Remaining: 2d 5h 4m Buy It Now for only: $93.99 |
KK AURORA MODEL MOTORING MONZA BANKED CURVE TRACKS BRACKETS IN BOX$45.99 Time Remaining: 21d 11h 5m Buy It Now for only: $45.99 |

1979 TYCO Slot Car HO Electric Racing Hi Banked Curve Corkscrew Set Vintage Lot$59.99 Time Remaining: 9d 17h 42m Buy It Now for only: $59.99 |
AURORA MODEL MOTORING MONZA BANKED CURVE TRACKS BRACKETS IN BOX W HRDWR EXC$29.99 Time Remaining: 23d 15h 39m Buy It Now for only: $29.99 |
AURORA AFX DAYTONA 4 LANE HIGH BANKED CURVE SET W SUPPORTS HRDW EXC COND$39.99 Time Remaining: 13d 18h 21m Buy It Now for only: $39.99 |

AURORA MODEL MOTORING BANKED CURVE ADAPTERS W WEDGES SPRING CLIPS CURVES HRDW$29.99 Time Remaining: 21d 14h 5m Buy It Now for only: $29.99 |
Large Lot Life Like HO Scale Slot Car Track Straight Curve Banked New$44.99 Time Remaining: 15d 3h 45m Buy It Now for only: $44.99 |
AFX AURORA 12 Radius Daytona Banked Curve 1 2 Circle 1973 Bank Complete Rare$39.16 Time Remaining: 23d 12h 20m Buy It Now for only: $39.16 |

Vintage 1972 Aurora xlerators 15 radius banked curve center section 2720201$16.99 Time Remaining: 16d 4h 35m Buy It Now for only: $16.99 |
Scx digital banked curve barrier$3.00 Time Remaining: 7d 13h 4m Buy It Now for only: $3.00 |
Vintage Tyco ho slot car track lot 40+ Pieces Banked Curve Straight Power Supply$24.99 Time Remaining: 18d 9h 58m Buy It Now for only: $24.99 |

AFX 70625 HO Slot Car Track 12 Radius Banked Curve$31.99 Time Remaining: 7d 17m Buy It Now for only: $31.99 |
9 R Banked Curves 2 15 Straight Track AFX Tomy Racemasters Track AFX70622$29.99 Time Remaining: 23d 10h 1m Buy It Now for only: $29.99 |
1988 TYCO Slot Car HI BANKED CORKSCREW CURVES 6738 Sealed New in Box$24.99 Time Remaining: 21d 7h 40m Buy It Now for only: $24.99 |

## Forex trading

Normal 0

No sane person would jump into the forex market blindly. You might as well set your money on fire if that’s what you’re going to do. Sensible investors study the market carefully first, learn the ins and outs of currency trading -- and even then, before they launch into it, they devise a smart forex trading strategy.

The market is constantly changing and is not always predictable, true. But you still require a scheme, one that provides for unknowns and surprises.

Your strategy should begin with how much money you can afford to lose. That may sound like a negative outlook -- after all, the goal is to MAKE money, not lose it -- but common sense tells you that the forex market is a gamble. There are precautions you can take that will make you less likely to lose your initial investment, but there’s no way to guarantee it. Your strategy must provide the possible action that you will take a bath, and for that cause you should never invest more than you are able to afford to lose.

Another good tip for your forex trading strategy is to avoid putting all your investments in one currency. What’s the old saying about eggs and baskets? Yeah, don’t put ‘em all in one. Spreading them out makes it much, much less likely that you’ll be wiped out, the way you would if you relied on one currency and it bottomed out.

As you develop your trading strategy, make yourself mindful of what the market is behaving like right now. Is it trending upward, or downward? What’s the general mood among traders? They all have a strategy, too, and are eager to know what others are thinking.

Consider also what your timeline is. How long do you want to stay in the market before taking your profits and getting out?

Your strategy must also involve learning the timing of the business. Timing is everything: Too late or too early and your potential profit evaporates. As you learn to gauge the market and make trades at just the right time, your profits will increase. A good strategy will factor in this learning curve and allow for a few mistakes at first.

Above all, to prepared to accept surprises when it comes to forex trading. Strategy can only get you so far. The rest is ingenuity and a little bit of luck.

**Circular Motion - Cyclist on banked curve**

**acceleration around a banked curve?**

*
*

*A curve of radius 64m is banked for a design speed of 84km/hr . If the coefficient of static friction is 0.28 (wet pavement), at what range of speeds can a car safely make the curve? Consider the direction of the friction force when the car goes too slow or too fast.
*

Recall the following pair of equations from my earlier analysis:

N*cos(theta) = m*g + F*sin(theta)

N*sin(theta) + F*cos(theta) = m*v_max^2/r

These equations correspond to the situation of maximum speed of travel.

Substitute F = mu_s*N for maximum deliverable traction force:

N*cos(theta) = m*g + mu_s*N*sin(theta)

N*(sin(theta) + mu_s*cos(theta)) = m*v_max^2/r

Solve for N:

N*(cos(theta) - mu_s*sin(theta)) = m*g

Thus:

N = m*g/(cos(theta) - mu_s*sin(theta))

Substitute:

m*v_max^2/r = m*g*(sin(theta) + mu_s*cos(theta))/(cos(theta) - mu_s*sin(theta))

Cancel dependence on m:

v_max^2/r = g*(sin(theta) + mu_s*cos(theta))/(cos(theta) - mu_s*sin(theta))

Solve for v_max:

v_max = sqrt(r*g*(sin(theta) + mu_s*cos(theta))/(cos(theta) - mu_s*sin(theta)) )

- - - - - - - - - - - - - -

For minimum speed of travel, friction acts in the opposite direction (up along the asphalt):

N*cos(theta) = m*g - F*sin(theta)

N*sin(theta) - F*cos(theta) = m*v_min^2/r

Perform similar algebra to eventually solve for v_min:

(CAUTION: N and F are not the same as in the maximum speed case)

N*cos(theta) = m*g - mu_s*N*sin(theta)

N*(sin(theta) - mu_s*cos(theta)) = m*v_min^2/r

N*(cos(theta) + mu_s*sin(theta)) = m*g

N = m*g/(cos(theta) + mu_s*sin(theta))

m*g*(sin(theta) - mu_s*cos(theta))/(cos(theta) + mu_s*sin(theta)) = m*v_min^2/r

g*(sin(theta) - mu_s*cos(theta))/(cos(theta) + mu_s*sin(theta)) = v_min^2/r

v_min = sqrt(r*g*(sin(theta) - mu_s*cos(theta))/(cos(theta) + mu_s*sin(theta)) )

Summary:

v_max = sqrt(r*g*(sin(theta) + mu_s*cos(theta))/(cos(theta) - mu_s*sin(theta)) )

v_min = sqrt(r*g*(sin(theta) - mu_s*cos(theta))/(cos(theta) + mu_s*sin(theta)) )

Note: if you end up with an imaginary number or zero for v_min, it means that all speeds are safe.

If you end up with an imaginary number or zero for v_max, it means that no speed is safe.

What is theta? Well, recall the formula for the design of banking angle we derived in the other problem:

theta = arctan(v_proper^2/(r*g))

Substitute this in to each formula for maximum and minimum speed, and do much simplification:

v_max = sqrt(r*g*(v_proper^2 + mu_s*r*g)/(r*g - mu_s*v_proper^2))

v_min = sqrt(r*g*(v_proper^2 - mu_s*r*g)/(r*g + mu_s*v_proper^2))

Data (notice the unit conversion):

v_proper:=70/3 m/s; g:=9.8 N/kg; r:=64 m; mu_s:=0.28;

Results:

v_max = 30.84 meters/second

v_min = 17.23 meters/second

And if you prefer kilometers/hour, simply translate:

v_max = 111 km/hr

v_min = 62.1 km/hr

We have to round in the interest of safety.