Asecurity camera is to be mounted on a building in an alley and will be subject to wind loads producing an applied force of f0 cos(wf t) where f0 is measured to be 12 n. it is desired to design a mount such that the camera will experience a maximum deflection of 0.03 m when it vibrates under this load. the wind frequency is known to be 15 hz and the camera mass is 5 kg. the mounting bracket is made of a solid piece of aluminum, 0.02 x 0.02 m in cross section. determine the length of the mounting bracket (l) that will keep the vibration amplitude less than the desired 0.03 m. you may ignore torsional vibration and assume the initial conditions are both zero. note that the length must be at least 0.2 m in order to have a clear view. state all assumptions and model this as accurately as possible.