An irregularly shaped body has a mass m, mass center at G, and a radius of gyration about G of kG. It is displaced slightly from its equilibrium position and released. Determine the natural frequency and period of vibration (express the answer in terms of kG, g, and d).

You are a sales representative for a company that makes a new alternate fuel for vehicles. you have prepared a presentation for the environmental engineers to sell your new product. what question do you expect the audience to ask regarding whether the new fuel will cause less damage to the environment? a. do we have to change any parts of the vehicle to use this alternate fuel? b. will the vehicles get better fuel mileage with the alternate fuel? c. how much greenhouse gas does your fuel produce compared with current fuel sources? d. is the alternate fuel more expensive than fossil fuel?