(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The diagram shows a simple pendulum consisting of a mass M suspended by a thin, massless string. The magnitude of the tension is T. The mass swings back and forth between +/- θ_{0}. Select all correct answers, e.g. B, AC, BCD.

A) T is largest at the bottom (θ = 0).

B) T is smallest when θ = +/- θ_{0}.

C) T equals Mg when θ = θ_{0}.

D) The vertical component of tension is constant.

E) T = Mg at some angle between zero and θ_{0}.

F) T is greater than Mg when θ = θ_{0}.

2. Relevant equationsnone

3. The attempt at a solution

A) T would be equal to Mg so that means C is incorrect. But I'm not sure if this is where the T would be the largest. I think so, because anywhere else would have a vertical Tcosθ and a horizontal Tsinθ component.

B) The same issue as A)

D) The vertical component of T would change as θ changed because of the components right? So that's incorrect.

E) I think the only place T=Mg is when θ=0, not at some angle between zero and θ_{0}

F) Again, similar issue with A and B. Not sure where the max and min T are on a simple pendulum.

Any suggestions would be appreciated. Thanks.

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# Homework Help: Tension on a simple pendulum

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