Question

6. The mass moves only in the vertical direction. Ignore any rotation of the mass. Assume that the rope wound around the pulley remains in tension at all times. At time t-0, the mass is lifted a small distance from its equilibrium position, and then released C 40 N ki-100 N/m m 15 kg k2-35 N/m m/s 6(a) Find the period 7d for damped, unforced vibrations of this system. (b) How long will it take for the vibration amplitude to diminish to 3% of its initial value? g 9.81 m/s2 7. A uniform thin rod AB of mass 10 kg and length 4.4 meters is pinned at point C. The rod is in equilibrium in the horizontal position as shown. Spring kj 120 N/m, and k2 - 180 N/m. 6 (a) Determine the natural frequency of vibration n for very low-amplitude oscillations (b) A moment M- 4 sin(wot) Newton-meters is then applied to make the rod oscillate with a very small amplitude about point C. Determine the steady-state vertical amplitude of oscillation of point B, if ao-5 s 0.75 m g- 9.81 m/s2

Answer 1

个mx 2322 画.cnstas eda..) う( 0.35332 x ,-0.3333 3-313 a)

b) 25 2rrx o, 3333 オIn O.O3 I-0.3333 0.3333 - ง่า 0.33332 ㅋ (七二 2.63 See