# Example 10-1 3e-4 rad; deg # Example 10-3 a = 0.06 rad/s^2 del_t = 8 s om = a * del_t r = 2.5 m v = om * r; m/s at = r * a ar = v^2 / r a_vec = [ar, at] mag(a_vec) PolarAngle(a_vec); deg # Example 10-4 om = 7200 rpm; rad/s r = 3 cm v = om * r x = 0.5e-6 m del_t = v / x # Example 10-5 r = 3 m a = 1.6 rad/s b = 1.2 rad/s^2 tt = 2 s om = a + b * tt v = om * r a = [r * b, om^2 * r] # Example 10-6 om = 20000 rpm tt = 30 s a = om / tt q = 0.5 * a * tt^2; rev # Example 10-7 ra = 30 cm rb = 50 cm fa = 50 N fb = 50 N q = 30 deg tor = ra * fa - rb * fb * cos(q); N m # Example 10-8 m1 = 5 kg m2 = 7 kg r = 2 m ii = m1 * r^2 + m2 * r^2 x1 = 0.5 m x2 = 4.5m ii = m1 * x1^2 + m2 * x2^2 # Example 10-9 Ft = 15 N m1 = 4 kg r0 = 33 cm om = 30 rad/s tt = 3 s tfric = 1.1 N m tor = r0 * Ft - tfric; N m a = om / tt ii = tor / a # Example 10-10 w = 15 N m0 = w / grav() r0 = 33 cm tfric = 1.1 N m ii = 0.385 kg m^2 a = (w * r0 - tfric) / (ii + m0 * r0^2) aa = r0 * a # Example 10-10 w = 15 N m0 = w / grav() r0 = 33 cm tfric = 1.1 N m ii = 0.385 kg m^2 a = (w * r0 - tfric) / (ii + m0 * r0^2) aa = r0 * a # Example 10-21 a = 0.5 * grav() m1 = 1200 kg sum_f = m1 * a x1 = 1.5 m x2 = 0.75 m mu =0.3 BEGIN fn1 = 5000 N fn2 = 5000 N mu = m1 * a / (fn1 + fn2) eq1 = x1 * (fn1 - fn2) - x2 * mu * (fn1 + fn2) eq2 = fn1 + fn2 - m1 * grav() END solve(eq1,eq2,fn1,fn2) # Homework Problems: TBD