Abob of mass m is suspended from a fixed point with a massless string of length l (i. e., it is a pendulum). you are to investigate the motion in which the string moves in a cone with half-angle θ.what tangential speed, v, must the bob have so that it moves in a horizontal circle with the string always making an angle from the vertical? how long does it take the bob to make one full revolution (one complete trip around the circle)? express your answer in terms of m, l, θ and acceleration due to gravity g.

Define the meaning of the unalienable rights of life liberty and persuit of happiness

Calculate the ratio of h+ ions to oh– ions at a ph = 6. find the concentration of h+ ions to oh– ions listed in table b of your student guide. then divide the h+ concentration by the oh– concentration. record this calculated ratio in table a of your student guide. compare your approximated and calculated ratios of h+ ions to oh– ions at a ph = 6. are they the same? why or why not? record your explanation in table a. what is the concentration of h+ ions at a ph = 6? mol/l what is the concentration of oh– ions at a ph = 6? mol/l what is the ratio of h+ ions to oh– ions at a ph = 6? : 1

The radius of a sphere is increasing at a rate of 9 cm/ sec. find the radius of the sphere when the volume and the radius of the sphere are increasing at the same numerical rate.