Answer Happy

In the system shown in the figure, the ball begins the top of the left curve. The ball accelerates down the quarter-circle curve, then traverses the flat plane, and finally climbs to the top of the right curve. The height is h = 4m, the distance covered over the flat part is d = 5.8m, and there is no friction present. Calculate the resonant frequency of this system. Give your answer in units of 'Hz' correct to two decimal places. Note: The quarter-circle curves on each side have a radius of curvature R =h (the same as the height). Note: You can calculate the time taken to descend and ascend the curves by averaging the initial and final speeds at the top and bottom of the curve. h d