Calculating Period of a Simple Pendulum with Accelerating Elevator and Truck

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SUMMARY

The discussion focuses on calculating the period of a simple pendulum with varying conditions of acceleration. For an elevator accelerating upward at 8.00 m/s², the effective gravitational acceleration is 17.8 m/s², leading to a period calculated using T=2π(L/g)^(1/2). When the elevator accelerates downward at 8.00 m/s², the effective g becomes 1.8 m/s². In the case of a truck accelerating horizontally, the vertical acceleration remains 9.8 m/s², as horizontal acceleration does not affect the pendulum's period. The correct application of forces and accelerations is crucial for accurate calculations.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Familiarity with the formula T=2π(L/g)^(1/2)
  • Knowledge of effective gravitational acceleration in non-inertial frames
  • Basic principles of forces and acceleration
NEXT STEPS
  • Study the effects of non-inertial frames on pendulum motion
  • Learn about effective gravitational acceleration in different acceleration scenarios
  • Explore advanced topics in simple harmonic motion
  • Investigate the dynamics of pendulums in various accelerating systems
USEFUL FOR

Physics students, educators, and anyone interested in the dynamics of pendulum motion under varying acceleration conditions.

Kawrae
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Okay I thought I understood this, but I guess not... according to this webassign program all my answers are wrong!

>> A simple pendulum is 6.00m long.
(a) What is the period of simple harmonic motion for this pendulum if it is hanging in an elevator that is accelerating upward at 8.00m/s^2?

My attempt: I used the formula T=2pi(L/g)^(1/2). I know the length and for g I first tried just filling in 9.8m/s^2 but that didn't work. So then I tried adding the acceleration in the y direction and got 1.8m/s^2 for g. But that didn't work either. Then I tried just ignoring gravity and using 8.00 that was given but that didn't work either. So now I'm stuck.

(b) What is its period if the elevator is accelerating downward at 8.00 m/s^2?

My attempt: Tried the same as part (a) only using -8.00m/s^2...

(c) What is the period of simple harmonic motion for this pendulum if it is placed in a truck that is accelerating horizontally at 8.00 m/s^2?

My attempt: I used the same formula as part (a) only I figured since it was only moving in the x-direction the 8.00 didn't matter, so I just used 9.8 for g. But it was wrong too.

Please help!
 
Last edited:
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Trial and error won't get you very far particularly when there's no one around to tell you whether your answer is correct or not.

HINT: Add up all the forces acting on the mass and equate the sum to the acceleration of the mass.
 
Thank you very much I finally figured them all out :)
 

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