A draw bridge of length L is being held up by an axel at its pivot and by a chail that is also of length L. The drawbridge has uniform mass.
A) What is the tension in the chain as a function of the angle is makes with the horizontal?
B) Are there any angles that are mathematically impossible? Do these mathematical impossibilities make physical sense?
C) The drawbridge covers a moat of width L, protecting a castle wall that is H high. What is the minimum angle to shoot an arrow so that it only barely clears the wall?