Determine the maximum tension in the pendulum rod

AI Thread Summary
To determine the maximum tension in a pendulum rod, the pendulum's length is 60 cm and the bob's mass is 500 g, with a swing speed of 2.4 m/s. The calculations involve using centripetal acceleration and gravitational force, leading to a net force equation where tension must account for both gravitational and centripetal forces. The correct approach combines these forces rather than viewing them as canceling each other out, as the pendulum is in a dynamic state. Ultimately, understanding the relationship between tension, mass, and acceleration is crucial for solving the problem accurately. The discussion highlights the importance of correctly applying physics principles to arrive at the right answer.
nesan
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Homework Statement



A clock’s pendulum is 60 cm long with a bob at the end of mass 500 g. Determine the maximum tension in the pendulum rod when the bob is

b) swinging at a speed of 2.4 m/s

Homework Equations



v^2 / r = ac

The Attempt at a Solution



9.8m/s^2 = g

(2.4)^2 / 0.6 = 9.6m/s^2

9.8 * 0.5 = 4.9N

9.6 * 0.5 = 4.8N

Fnet = 4.9 - 4.8 = 0.1 N

What am I doing wrong? ._.

Thank you.


Okay guys I looked t it from another perspective and ended up wit the right answer.

I added the force of gravity and the tension going up.

But here's a small question. Why do we have to add them? Are they not cancelling each other out? Or is it because the pendulum is balanced ? o.o

So we add both tensions?
 
Last edited:
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hi nesan! :smile:
nesan said:
So we add both tensions?

i'm very worried by your last question :redface:

what did you think the two tensions were? :confused:

(the acceleration is upward

Ftotal = ma, so T - mg = ma, ie T = ma + mg)
 
tiny-tim said:
hi nesan! :smile:


i'm very worried by your last question :redface:

what did you think the two tensions were? :confused:

(the acceleration is upward

Ftotal = ma, so T - mg = ma, ie T = ma + mg)


Yup, I got that last night while in bed thinking. Haha xD

Thank you. :)<3
 
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