Workshop:The analysis of a simple pendulum assumed that the mass was a particle, with no size. A realistic pendulum is a small, uniform diskof massMand radiusRat the end of a massless string, withLbeing the distance from the pivot to the center of the sphere. Find an expression for the period of this pendulum. SupposeM

When a charged balloon sticks to a wall, the downward gravitational force is balanced by an upward static friction force. the normal force is provided by the electrical attraction between the charged balloon and the equal but oppositely charged polarization induced in the wall's molecules. if the mass of a balloon is 1.2 g, its coefficient of static friction with the wall is 0.71, and the average distance between the opposite charges is 0.80 mm, what minimum amount of charge must be placed on the balloon in order for it to stick to the wall? express your answer to two significant figures and include appropriate units.