Question

Figure 5 shows a pick-up truck of a total mass mi transporting a small cart of a mass m2. The small cart is hitched through two springs of axial stiffness k each to the truck (b) body. Absolute displacement of the truck is xi while that of the cart is x2 (i) Find the relative motion (n-m) of the cart when the truck is subjected to a (7 marks) Find the natural frequencies and mode shapes of this two-degree-of-freedom harmonic force excitation Fisinot (ii) system during the free vibrations. Sketch also the mode shapes. (8 marks) F sinot

Answer 1

烱k m2 shopes ak

2 Ar ーm Mode shapcs Slt«tch. AN- Mede shape