Question

If the equation of motion of a small submarine is given by (m+200(0)-10 m/s, where fis a function of time depends on other parameters. For f- 0, determine 1) The standard form of equation of motion. 2) The time constant in terms of mass m 3) The maximum mass (m) that brings the speed to 0.5 m/s within 60 s. Use Fig. I If the submarine mass is one-half of the maximum mass obtained in 3, and a constant force F is applied. Determine in terms of F 4) The standard form of the forced equation of motion. Use Eq. (2.a) to solve 5,6,7 and 8 5) The free response. 6) The forced response 7) The steady-state response. 8) The transient response 9) If the desired final speed is 18 m/s, determine the magnitude of applied force F 10) If the submarine started from rest, and is subjected to a constant force F- 5.5 kN, determine the final speed. Use Fig. 3 to find time it takes to reach 95% of this final speed. 11) If a ramp force p-Br is applied, where p is in N, determine the maximum constant β for which the submarine final acceleration does not exceed 0.08 m/s. Use equation corresponds to Fig. 4 Ans. 7) Steady-state response: z00F 8) Transient response: 60- 9) F 3.6 kN 10) v, 27.5 m/s, ,-3 -30 s 200 41, 200 Sec. 200 ) mar 4000 kg Bmax 16 N/s 5) Free response: 10e 01 6) Forced response00

Answer 1