static void Main(string[] args)
{
// A simple accelerometer is constructed by suspending a
// mass m from a string of length L that is tied to the top
// of a cart. As the cart is accelerated the string-mass
// system makes a constant angle th with the vertical.
// (a) Assuming that the string mass is negligible compared
// with m, derive an expression for the cart’s acceleration
// in terms of and show that it is independent of
// the mass mand the length L.
// (b) Determine the acceleration of the cart when th = 23.0°.
var F1 = new Symbol("F1"); // force of string
var F2 = new Symbol("F2"); // force of gravity
var th1 = new Symbol("th1");
var th2 = new Symbol("th2");;
var _F1 = new Point()
{
angle = th1
};
var _F2 = new Point()
{
angle = th2, magnitude = F2
};
var m = new Symbol("m");
var g = new Symbol("g");
var obj = new Obj()
{
mass = m
};
obj.acceleration.y = 0;
obj.forces.Add(_F1);
obj.forces.Add(_F2);
_F1.magnitude = obj.ForceMagnitude(_F1);
("Derive an expression for the cart’s acceleration in terms " +
"of and show that it is independent of the mass mand the length L:").Disp();
"".Disp();
obj.AccelerationX()
.Substitute(F2, m * g)
.Substitute(Trig.Cos(th2), 0)
.Substitute(Trig.Sin(th2), -1)
.Disp();
"".Disp();
"Determine the acceleration of the cart when th = 23.0°".Disp(); "".Disp();
obj.AccelerationX()
.Substitute(F2, m * g)
.Substitute(Trig.Cos(th2), 0)
.Substitute(Trig.Sin(th2), -1)
.Substitute(th1, (90 - 23).ToRadians())
.Substitute(Trig.Pi, Math.PI)
.Substitute(g, 9.8)
.Disp();
Console.ReadLine();
}