Maximizing Safety: Pendulum Swing Help for Jack and His 653 N Weight

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    Pendulum Swing
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SUMMARY

Jack, weighing 653 N, swings from a 26 m vine and descends 3.2 m. The maximum force exerted on the vine during the swing must be calculated to determine if it exceeds the breaking point of 950 N. The analysis confirms that the vine does not break, as the maximum force remains below this threshold. The greatest force on the vine during the swing is a critical value that needs to be calculated for complete understanding.

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  • Understanding of Newton's laws of motion
  • Basic principles of pendulum dynamics
  • Knowledge of force calculations in physics
  • Familiarity with energy conservation concepts
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  • Calculate the maximum force on the vine using centripetal force equations
  • Explore the principles of pendulum motion and its forces
  • Study the effects of gravitational potential energy on swinging objects
  • Investigate safety factors in material strength for dynamic loads
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vtech
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Jack, who weighs 653 N, swings from a cliff at the end of a convenient vine that is 26 m long. From the top of the cliff to the bottom of the swing, he descends by 3.2 m. The vine will break if the force on it exceeds 950 N.

(a) Does the vine break? yes / no
(b) What is the greatest force on the vine during the swing? ____Newtons
(c) At what angle does it break, if it breaks?
 

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This should be in the homework section.

What exactly have you done so far?
 

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