4.4 Solve the equation of motion for the inverted simple pendulum from the previous problem for small deviations from vertical. How does the solution differ from that for the simple pendulum (i. e., simple harmonic motion)?

Suppose that a comet that was seen in 563 a. d. by chinese astronomers was spotted again in year 1951. assume the time between observations is the period of the comet and take its eccentricity as 0.986. what are (a) the semimajor axis of the comet's orbit and (b) its greatest distance from the sun?

Free runners jump long distances and land on the ground or a wall. how do they apply newton’s second law to lessen the force of impact?

In one or two sentences, describe how you did in the balancing game. in a few more sentences, explain one strategy you learned for balancing more complex equations.