Number 57 WARNING-17Twas porttWWSTINGREFAmN16 Tasting WMAPEN●O11418 CHAPTER 15 Oscillations56. | Orangutans can move by brachiation, swinging like a pendu-BIO lum beneath successive handholds. If an orangutan has arms thatare 0.90 m long and repeatedly swings to a 20° angle, taking oneswing after another, estimate its speed of forward motion in m/s.While this is somewhat beyond the range of validity of thesmall-angle approximation, the standard results for a pendulumare adequate for making an estimate.57. The pendulum shown in FIGURE P15.57is pulled to a 10° angle on the left side andreleased.a. What is the period of this pendulum?b. What is the pendulum's maximum angleon the right side?FIGURE P15.5712 cmPeg.12 cm58. A uniform rod of mass M and length L swings as a pendulumon a pivot at distance L/4 from one end of the rod. Find an expres-sion for the frequency f of small-angle oscillations.59. Interestingly, there have been several studies using cadavers toBIO determine the moments of inertia of human body parts, informa-tion that is important in biomechanics. In one study, the center ofmass of a 5.0 kg lower leg was found to be 18 cm from the knee.When the leg was allowed to pivot at the knee and swing freely asa pendulum, the oscillation frequency was 1.6 Hz. What was themoment of inertia of the lower leg about the knee joint?60. || A 500 g air-track glider attached to a spring with spring con-stant 10 N/m is sitting at rest on a frictionless air track. A 250 gglider is pushed toward it from the far end of the track at a speed of120 cm/s. It collides with and sticks to the 500 g glider. What arethe amplitude and period of the subsequent oscillations?61. || A 200 g block attached to a horizontal spring is oscillating withan amplitude of 2.0 cm and a frequency of 2.0 Hz. Just as it passesthrough the equilibrium point, moving to the right, a sharp blowdirected to the left exerts a 20 N force for 1.0 ms. What are the new(a) frequency and (b) amplitude?62. || FIGURE P15.62 is a top view of an object of mass m connectedbetween two stretched rubber bands of length L. The object restson a frictionless surface. At equilibrium, the tension in each rub-her hand is T Find an expression for the frequency of oscilla.

Name: Number 57 WARNING-17Twas porttWWSTINGREFAmN16 Tasting WMAPEN●O11418 CH
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Description: Number 57 WARNING-17Twas porttWWSTINGREFAmN16 Tasting WMAPEN●O11418 CHAPTER 15 Oscillations56. | Orangutans can move by brachiation, swinging like a pendu-BIO lum beneath successive handholds. If an orangutan has arms thatare 0.90 m long and repeated