Grade 10Wave Motion
A pendulum is formed by pivoting a long, thin rod of length L and mass III about a point on the rod that is a distance d above the center of the rod. (a) Find the small-amplitude period of this pendulum in terms of d, L, m, and g. (b) Show that the period has a minimum value when d = L![src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACsAAAAbCAIAAABqReE6AAAA/ElEQVRIie3W7RHDIAgGYOZyIOZhGpZxGPsjNiqKYPN1vYs/e408BnlbSE8veBrwCv5LwAhnrN8FjIDs1S4tp4ARAsVrBOA5W6RwFSAdAjCC8moihbr7sxrgOFoPqAr0gu3O7kXzFVYR4ALUz0cKuSyjKmjqCZIUmAB9DBTB+HsHBPocOgVby/QuyC3ljpMgcAmM+rugTjzZQ7WGQ8BojnvbhQ48DQJLECk4hl3eg3bXeRJNBb7yA0FzcY0onAi6iVwQ5E4EijII3IKSGPVH2llG0/jd2fg9LNTB4/1aEZTQHQJE5ssC2h+JJYEVY6cuLRMHvbxZcN96BSl9AElDA8viqPcNAAAAAElFTkSuQmCC]()
= 0.289L.
