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(); }