Pendulum question

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Eye Cue

Guy
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Okay, so I searched for the answer and read numerous SDN threads, yet I can't find a definitive answer, just a bunch of arguing. On top of that, my study partner and I are in disagreement of the answer, so we need to put an end to this once and for all!

Simply put, is there a net acceleration at the nadir of a pendulum in motion?

I don't think there is a horizontal acceleration, however, I do think there is a centripetal acceleration pointing directly up which probably comes from the tension.
 
that acceleration is canceled by gravity. there is no net force on the pendulum at equilibrium. this is why if there is no initial displacement, a pendulum at equilibrium will not start accelerating.
 
Sorry, let me retract that b/c I slightly misread your question. If the pendulum is already in motion, then at the equilibrium point, you will observe a net instantaneous acceleration. This is because the tension of the string is not the same as the force of gravity and you have a net acceleration in the direction of the string.
 
I agree. Wikipedia has a nice animation to visualize this.

Pendulum_animation.gif
 
As a rule of thumb objects that undergo a change in direction are experiencing an accelaration.
 
Very helpful replies to all of you, thanks!

However, would it be correct to say that, even though it does accelerate at the bottom, the acceleration is at a minimum?
 
I think so, because the acceleration due to tension and the acceleration due to gravity would be in opposite directions.
 
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