Simple Harmonic Motion , finding the time taken to travel an angular dispalcemnt

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Homework Help Overview

The problem involves calculating the time taken for a pendulum to reach half of its maximum angular displacement after being given an initial velocity. The context is within the subject area of simple harmonic motion.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the initial calculations for maximum angular displacement and the subsequent attempt to find the time taken to reach half of that displacement. Questions arise regarding the nature of velocity and the relationship between angular displacement and time.

Discussion Status

Some participants have offered hints about considering the angular displacement as a function of time, suggesting that a trigonometric function may be involved. There is acknowledgment of the complexity due to the non-uniform nature of the pendulum's speed.

Contextual Notes

Participants are working under the constraints of the problem's parameters, including the initial velocity and the length of the pendulum, while exploring the implications of energy conservation and angular motion.

kingkong69
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1. Homework Statement

Find the time taken to reach half the maximum angular displacement in a PENDULUM. Given that the bob hanging at rest was given an initial velocity of 2ms, and the length of the string is 6m.



2. Homework Equations
finding the angular velocity using sqrt.(g/l). where g is 9.8 and l is 6m.
maximum angular displacement with conservation of energy formulas.



3. The Attempt at a Solution

i found the maximum angular displacement and it is 68.8degrees using kinetic=potential energy. The question is half the maximum displacement so i took 34.4 degrees in radians, then i divided it by the angular velocity resulting in a wrong answer

The answer behind the book says 4.1s


Thanks any help is appreciated.
 
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The velocity is not constant.
What else could you do with the angle you found?
 
The speed is not uniform. To solve for the time, write the angular displacement as a function of time. (Hint: There'll be a trig function involved.)
 
got it, thanks a lot guys
 

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