Amplitude 0.8 06 0.4 0.2 C(s) ms + k = R(s) ms2+bs + k Where m = 2kg. Find the values of b and k that make the system response like the Figure 1 1.4 1.2 Step Response 0.5 1.5 25

The particle of mass m = 2.3 kg is attached to the end of the light rigid bar of length L = 0.83 m. The system is released from rest while in the horizontal position shown, at which the torsional spring is undeflected. The bar is then observed to rotate 45° before stopping momentarily, (a) Determine the value of the torsional spring constant kr. (b) For this value of kr, determine the speed vof the particle when e = 25°. kT Part 1 Position 1 is the horizontal orientation shown in the figure. Position 2 is the orientation when e- 45. Find the kinetic energy in positions 1 and 2. Answers: T1- kg m²/s2 T2- kg m²/s? Answers: (a) ky = i Nem/rad (b) m/s

Section 4.3 and 4.4 Control Volume and System Representations and the Reynolds Transport Theorem 4.32 Water flows through a duct of square cross section as shown in Fig. P4.32 with a constant, uniform velocity of V = 20 m/s. Consider fluid particles that lie along line A-B at time t = 0. De- termine the position of these particles, denoted by line A'-B', when t = 0.20 s. Use the volume of fluid in the region between lines A-B and A'-B' to determine the flowrate in the duct. Re- peat the problem for fluid particles originally along line C-D and along line E-F. Compare your three answers. V - 20 m/s B B' A A' C C FIGURE P4.32 D 45° E 0.5 m

The forked rod is used to move the smooth 1.2-lb particle around the horizontal path in the shape of a limaçon, r = (2+ cos) ft. (Figure 1) Figure -3 ft 1 of 1 Part A If 0 = = (0.5t²) rad, where t is in seconds, determine the force which the rod exerts on the particle at the instant t = 1 s. The fork and path contact the particle on only one side. Express your answer to three significant figures and include the appropriate units. F = Submit U ™-μA Value Request Answer < Return to Assignment Units Provide Feedback ?