When you walk out of this classroom today, the motion of one foot in each step can be considered as approximately a half-cycle of a simple harmonic motion specifically modeled as a simple pendulum but the is supplied by the muscles in your body, not gravity. In the process of walking each foot rests on the ground for 0.5 seconds while the other foot swings forward 180 cm and comes to rest again 90 cm ahead of the other foot.
a. If only the forward swing of the foot takes 0.5 sec, what is the period of your simple harmonic motion?
b. What is the maximum velocity of the foot.
c. What is the maximum acceleration of the foot?
When you walk out of this classroom today, the motion of one foot in each step...
Suppose that during each step, the leg of a student swings through a total distance of 2.2 m. At the end of the swing, this foot rests on the ground for 0.2 s before the other leg begins its swing. The length of the leg, from hip to heel, is 0.95 m. Part A: At what speed does this student walk? (Think carefully about how far forward the student moves at each step.) Express your answer with the appropriate units....
Suppose that during each step, the leg of a student swings through a total distance of 2.2 m. At the end of the swing, this foot rests on the ground for 0.2 s before the other leg begins its swing. The length of the leg, from hip to heel, is 0.90 m. (a) At what speed does the student walk? (b) The swinging leg reaches its maximum speed at the bottom of its arc. How many times faster is this...
As you walk, the upper part of your body moves up and down with approximately simple harmonic motion. The smaller the amplitude of this motion the smaller the force you put on your joints and, of course, the more graceful is your walk. If you managed to develop your walk so that you have kept the amplitude down to 1.60 cm, what is the maximum acceleration of your body, in units of g = 9.80 m/s2, when you are walking at your...
QUESTION 1 As pendulum length increases, the period of harmonic motion O A. increases 。B. decreases. OC.remains the same. QUESTION 2 As pendulum mass increases, the period of harmonic motion A. increases. B. decreases ° C. remains the same QUESTION3 As gravity on the pendulum increases (as on Jupiter), the period of harmonic motion A. increases B. decreases. C. remains the same. QUESTION4 A pendulum attains maximum speed O at the equilibrium position O at maximum amplitude O somewhere in...
1. Pendulum clocks are very important for the history of exploration. Accurate time was the best way to determine one's longitude, since the time of sunrise or sunset depends sensitively on your longitude. In this regard, the great enemy of accuracy was thermal expansion of the pendulum used for the chronometer. We are considering a large mass attached at the end of a brass rod. The mass at the end is much greater than the mass of the rod, so we...
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