Pendulum - maximum kinetic energy, maximum potential energy

In summary, a pendulum at equilibrium will have full kinetic energy, and at its maximum amplitude, it will have full potential energy. This energy is transferred to the bob, which initially has gravitational potential energy but no kinetic energy. The total energy of the bob remains unchanged, but there is a change in energy as it moves from its initial position to the bottom. To calculate this change in energy, the absolute change in height must be calculated. It is incorrect to calculate this change in the horizontal direction.
  • #1
jimmy42
51
0
Is it correct to think that a pendulum which is at equilibrium has full kinetic energy? Then at it's maximum amplitude it has full potential energy?

thanks.
 
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  • #2


Yeah. Thats correct.
 
  • #3


Is that energy transferred to the bob?
 
  • #4


When the bob starts off at its initial position, it has gravitational potential energy but no kinetic energy.

When it reaches the bottom ( i wouldn't say equilibrium) it will have max KE.
So yes, there is a CHANGE in the energy.

But the total energy that the bob initially had never changed.
 
  • #5


So, if a bob has a mass of 10kg and it moves 10m in the x direction is the energy to get it there = mgh= so 10kgx9.81ms^-2x10m = 981J?

Thanks.
 
  • #6


You will need to calculate the absolute change in height.

Usually we take the vertical axis as y direction, and horizontal as x direction.

So when you say in the x direction do you mean horizontal? Cause if that's what you mean, then it is incorrect. You will have to take the change in height.
 

What is a pendulum?

A pendulum is a weight suspended from a fixed point that is able to swing back and forth. It is often used to demonstrate the concept of periodic motion.

How does a pendulum reach maximum kinetic energy?

A pendulum reaches maximum kinetic energy at the bottom of its swing, when it is moving the fastest. This is because potential energy is converted into kinetic energy as the pendulum falls.

What causes a pendulum to have maximum potential energy?

A pendulum has maximum potential energy at the top of its swing, when it has the highest point above the ground. This is because potential energy is directly related to height - the higher the object, the more potential energy it has.

Can a pendulum have both maximum kinetic energy and maximum potential energy at the same time?

No, a pendulum can only have either maximum kinetic energy or maximum potential energy at a given moment. As the pendulum swings, the energy will continuously alternate between potential and kinetic.

How does the length of a pendulum affect its maximum kinetic and potential energy?

The length of a pendulum does not affect the maximum kinetic or potential energy. These energies only depend on the height and velocity of the pendulum, which are not affected by the length of the pendulum.

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