A monkey hangs by a tree and swings back and forth at a frequency of 0.81 Hz by pushing on a nearby branch. If this is the resonant frequency of the periodic motion, what is the length of the monkey when it swings? Round off your final answer to two decimal places.

A block of mass  m = 6.04 kg  is attached to a spring with spring constant  k = 1532 N/m  and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.145 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (a) What is the frequency of this oscillation? Hz(b) Where is the block located 3.24 s after it is released? (Give the displacement from the equilibrium. Include the sign of the value in your answer.) m(c) What is the velocity of the mass at that time? (Indicate the direction with the sign of your answer.) m/s

A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 17.5 s. (a) How tall is the tower?m(b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there?

A small mass m is attached to a string of length L to make a simple pendulum that swings with period T. Suppose the mass is cut in half, what might the new period of oscillation be? Α. 2T T В. С.Т D. V2T An alien on Pluto has the exact same pendulum. What is the period of oscillation of the alien's pendulum in terms of T, given that the acceleration due to gravity on Pluto is 1/16 of the acceleration due to gravity on Earth? TPluto