Calculating force required to keep pendulum in motion

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SUMMARY

The discussion focuses on calculating the force required to maintain a pendulum's motion, specifically addressing the frictional and damping losses during oscillations. The initial force applied to the pendulum is 3.5 kgf, with a displacement angle of 20 degrees, a pendulum length of 30 cm, and a weight of 10 kg. The pendulum ceases oscillation after approximately 40 cycles, prompting the need to quantify energy loss per cycle and determine the necessary force to sustain motion.

PREREQUISITES
  • Understanding of basic physics concepts such as force, energy, and oscillation.
  • Familiarity with units of measurement, specifically Newtons and kilogram-force.
  • Knowledge of pendulum mechanics, including displacement angles and oscillation periods.
  • Ability to perform calculations involving work and energy loss in mechanical systems.
NEXT STEPS
  • Calculate energy loss per cycle using the formula for work done against friction.
  • Explore the relationship between damping ratio and oscillation decay in pendulums.
  • Learn about the principles of harmonic motion and how they apply to pendulum systems.
  • Investigate methods for measuring force and energy in mechanical systems using tools like spring gauges.
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Physics students, mechanical engineers, and hobbyists interested in pendulum dynamics and energy conservation in oscillatory systems.

starcrossed
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Hi,

I am interested in calculating the force required to keep a pendulum in motion. I believe This force will be same as the frictional loss + other dampening loss happening in the oscillations.

now,

I know the initial push or force that i am giving to the pendulum. let initial force given to pendulum be 3.5 Kg force-cm.

I also know the displacement angle of pendulum. The displacement angle A= 20 Degrees.

The length of the pendulum is L=30 cm. and the weight of the pendulum is W=10 Kg.

The pendulum oscillations dies out after say 40 cycles.

Can i calculate how much energy is lost in the pedulum during this 40 cycles?

How can i calculate the energy loss per cycle from this?

My ultimate aim is to calculate the force required to be given to the pendulum to keep it moving.


Can some one please help?

Thanks
 
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starcrossed said:
I know the initial push or force that i am giving to the pendulum. let initial force given to pendulum be 3.5 Kg force-cm.

Force times distance (F dx) is work (energy), while force times time (F dt) is impulse or momentum transfer. Push is not a recognized term for either work or momentum transfer.

Force is measured in Newtons. Sometimes a Newton is called a kilogram-force, but it does not properly connotate the correct units.

1 Newton = 1 kilogram-meter / sec2
 
Last edited:
sorry about that...my mistake,

I am actually pushing rather pulling the pendulum with 3.5 kgf force. i have a spring gauge which i am using for measurement. I lift the pendulum weighing 10 kg's to about 20 degrees. the spring gauge reads 3.5 kg. then i release the pendulum.

The time for one oscillation is about 1.4 seconds. the pendulum comes to rest in about 30 oscillations. the total time taken for it to come to rest is say around 40 seconds.

i am interested in find the amount of force that must be supplied to pendulum to keep it in motion.
 
can some one please help?
 

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