. The Street railway journal . mly 2000 lbs. V — a / Y b B ■V- * . N - 11 -1 A, I N > B 1 1 10C M > —— / ! —1 V 1 1 t- ■0) ( \ P ! i R F w 1 ;e c X FIG. 3 Put A = V/T = .682 L/T = V/L (4)2 A0 — a c/(a + c) (5)2 M =(a + b) (a + c) (c — b)Kt = (c — b)/MV2K> = (o + c)/M Kt — (a + b)/MV2 ; ; Where Ki + K* + K. = o STREET RAILWAY JOURNAL. [Vol. XIX. No. 5. Then will And x/T = 2 A„/a — Ki (A0 — A)V2y/T= K*(A„ — A)V2 s/T = 2A0/C — Ks (Ao — Ay/2 a x/T = 2 Ao — a Ki (Ao — A) V2b y/T = b Ki (Ao — Ay/2 c s/T = 2 Ao — c K3 (Ao — A)V2 (6)(7)(8) (9)(10) (n). with different initial acceleration
. The Street railway journal . mly 2000 lbs. V — a / Y b B ■V- * . N - 11 -1 A, I N > B 1 1 10C M > —— / ! —1 V 1 1 t- ■0) ( \ P ! i R F w 1 ;e c X FIG. 3 Put A = V/T = .682 L/T = V/L (4)2 A0 — a c/(a + c) (5)2 M =(a + b) (a + c) (c — b)Kt = (c — b)/MV2K> = (o + c)/M Kt — (a + b)/MV2 ; ; Where Ki + K* + K. = o STREET RAILWAY JOURNAL. [Vol. XIX. No. 5. Then will And x/T = 2 A„/a — Ki (A0 — A)V2y/T= K*(A„ — A)V2 s/T = 2A0/C — Ks (Ao — Ay/2 a x/T = 2 Ao — a Ki (Ao — A) V2b y/T = b Ki (Ao — Ay/2 c s/T = 2 Ao — c K3 (Ao — A)V2 (6)(7)(8) (9)(10) (n). with different initial acceleration, and the crossing of the o-curves. Curve sheet 4 shows a x/T in terms of A for b = .2 and forc — It illustrates the influence of the braking effort on themaximum velocities. These curve sheets give a complete determination of the kine-matics of the problem. There remains the determination of en-ergy and power—the kinetics. I limit the discussion to the casein which power is applied along 0 a (Fig. 1) only, and the car isallowed to coast with gradually diminishing velocity due to theconstant retardation (b) from A to B where a braking force pro- -c. J jh llfl az/T AND A, FOR tj - 2 c-2 1 // / / ,9 A c8 J?/ 7 fir :6~ A J /, t > 1 r2- / / A r CURVE SHEET 3 CURVE SHEET 4 These three equations are the general solution of the problemin kinematics illustrated in Fig. 1; that is, the motion of a particlefrom rest to rest, with three different accelerations. The onlyterm in the equations containing the average velocity or the lengthis A; all the
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectstreetr, bookyear1884
