A double collar C is pin-connected together such that one collar slides over a fixed rod and the other slide over a rotating rod (refer to Figure #2). The geometry of the fixed rod for a short distance can be defined by a lemniscate. Y = 4 cos2 theta The unit for r is meter. Rod OA is rotating at a constant rate of d Theta = 6 rad/s. At the instant Theta = 0 as shown. (1) Determine the double collar?s radial and transverse components of velocity. (2) Determine the double collar?s acceleration

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.