Solve Pendulum Problem: Indiana Jones Swinging at 17°

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In summary, the conversation discusses Indiana Jones swinging from a rope that is treated as a simple pendulum. The distance between the pivot point and his center of mass is given as 31.0 m and he starts swinging from rest at an angle of 17.0 degrees. The question asks for the value of \theta after 1.33s. To solve this, the formula for the period of a pendulum is used, along with the solution to the differential equation \ddot{\theta} + \omega^{2} \theta = 0 where \omega = \sqrt{\frac{g}{L}}. The final solution is given as \theta (t) = \theta_{max} \cos (\omega t
  • #1
Punchlinegirl
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Indiana Jones is swinging from a rope. The distance between the pivot point and his center of mass is 31.0 m. He begins swinging from rest at an angle [tex]\theta[/tex] = 17.0 degrees. Assuming the Indiana and the rope can be treated as a simple pendulum, what is the value of [tex]\theta[/tex] after 1.33s (in degrees)?

i have no idea where to begin on this problem. I know that the formula for a period of a pendulum is [tex] T= 2\pi \sqrt L/g [/tex] , but i dont' know where the angle comes into play. Any help?
 
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  • #2
Use the solution to the differential equation

[tex] \ddot{\theta} + \omega^{2} \theta = 0 [/tex]

where [itex] \omega = \sqrt{\frac{g}{L}} [/itex]

For this case you will need:

[tex] \theta (t) = \theta_{max} \cos (\omega t) [/tex]
 
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  • #3
ok i got it.. thanks
 

Related to Solve Pendulum Problem: Indiana Jones Swinging at 17°

1. What is the "Pendulum Problem" in the context of Indiana Jones swinging at 17°?

The Pendulum Problem refers to the physics concept of a pendulum swinging back and forth, which is used to explain how Indiana Jones is able to swing across large gaps at a specific angle of 17° in the movie.

2. How is the Pendulum Problem relevant to Indiana Jones swinging at 17°?

The Pendulum Problem is relevant because it helps explain the mechanics and feasibility of Indiana Jones' swinging stunt in the movie. It shows that the angle at which he swings is crucial for him to successfully cross the gap.

3. What are the key factors that affect Indiana Jones' swinging at 17°?

The key factors that affect Indiana Jones' swinging at 17° include the length of the rope, the mass of Indiana Jones, the angle at which he starts swinging, and the gravitational force acting on him.

4. Can the Pendulum Problem be solved mathematically?

Yes, the Pendulum Problem can be solved using mathematical equations and principles of physics, such as Newton's laws of motion and the concept of centripetal force. This allows us to calculate the necessary variables for Indiana Jones to swing at 17°.

5. Is Indiana Jones' swinging at 17° realistic?

While it may seem like a daring and impossible stunt, Indiana Jones' swinging at 17° is actually based on real physics principles. However, the execution of the stunt may not be completely realistic as it is still a movie and may have some exaggerated elements for entertainment purposes.

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