Physics

This is an energy conservation problem where you trade gravitational potential energy for kinetic energy. The key insight is that no energy is lost to friction, so the height the bob falls from (determined by the initial angle) equals the kinetic energy it gains at the bottom. Find how much lower the bob is at the lowest point compared to its starting position, set that gravitational potential energy equal to $\frac{1}{2}mv^2$, and solve for $v$.

This is an energy conservation problem where you trade gravitational potential energy for kinetic energy. The key insight is that no energy is lost to friction, so the height the bob falls from (determined by the initial angle) equals the kinetic energy it gains at the bottom. Find how much lower the bob is at the lowest point compared to its starting position, set that gravitational potential energy equal to $\frac{1}{2}mv^2$, and solve for $v$.