how can i express tension in this case, using alpha, alpha max,g, m, and L ??(adsbygoogle = window.adsbygoogle || []).push({});

a case of a mass of m hanging from a ceiling on a cord with a length of L swinging at a maximum angle of "alpha max" on either side, and at any given moment and an angle of alpha(changes all the time)

how can i express T, the strings tension, using the parameters m,g,alpha,alpha max,and L??

what i did was say:

according to circular movement, looking at the radial acceleration ar

F=ma

T-mg*cos(alpha)=mar=m*v^2/L

T=m(v^2/L+g*cos(alpha))

now how can i express v using the parameters, what i think i need to do is look at the maximum angle, and say V=0 so mar=0 so T(point of max)=mgcos(alpha max) but i dont see how that cann further me at all,

again, in the end i need an expression T=???????? using only m,g,L,alph, alpha max

***no friction at all, mass will reach alpha max every time, no loss of energy

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# Homework Help: Swinging, pendulum like mass

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