Tarzan is curled in a ball and is swinging on rope trying to get to next tree. H

Question

Tarzan is curled in a ball and is swinging on rope trying to get to next tree. He is unable to make it to next tree and continually swings back and forth. Tarzan has mass of 60 kg and rope is 20 m lon
a) what is period of his swing b) what is frequency of his swing c) If he started at an angle of 20 degrees what is maximum velocity of his motion and where does it occur?
c) Draw graph of x vs time for his motion, labeling max x positions and times for 2 oscillations
d) How would motion change if he was 10 kg lighter?

Explanation / Answer

Given mass of tarzan   m = 60 kg length of rope    L = 20 m a) period of tarzansswing                         T = 2 ( L / g ) 1/2                               = 2 ( 20m / 9.8 ) 1/2                             = 8.975 s b) frequency of swing                          f = 1 / T                             = 1 / 8.975                             = 0.111Hz c) if he started at an anlge =20 degrees      position of mass    s = L      velocity of mass v = ds / dt                                     = d/ dt ( L )      where   = max cos( t + )                  d / dt = max cos( t + +/2 )         if   cos ( t + ) = 1 = max                        v = L max                        = 20 * 20 * 2*0.111                       = .............m/s                      

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.