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# Will tension of a pendulum changes when it is oscillatin?why?

Venkat
273 Points
3 years ago
The tension of an osciallting pendukun is derived as :
$T=mgcos\theta+mv^2/l$  …...(1)
Here, theta is the angle made by pendulum with vertical line drawn through pivot. So at 90 degrees or the pendulum is horizonatl, the first term is zero, and when 0 degress or the pendulum is vertical, the first term is zero or in other words the tension is maxium. Between 0 and 90 degrees the tension changes and varies from max tension to minimum tension.

So at 90 degrees, the tension is,
$T=mgcos90+mv^2/l \\T_{minimum}=mv^2/l$

At  0 degrees,
$T_{maximum}=mgcos0+mv^2/l \\T_{max}=mg+mv^2/l$

To derive the  equation (1), watch the youtube video by ashish arora for tension of a swinging pendulum under physics under circular motion.

Khimraj
3007 Points
3 years ago
Yes it changes.