A pendulum impact hammer setting objects off on a frictionless surface.

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SUMMARY

The forum discussion centers on designing a pendulum impact device to measure initial velocities of objects on a frictionless surface. The user seeks to understand the principles of momentum and energy transfer during collisions, particularly when the mass of the pendulum is equal to or less than the mass of the object being impacted. Key calculations involve using the kinetic energy formula (1/2mv²) and analyzing potential energy changes during the pendulum's swing. The user concludes that for optimal energy transfer, the pendulum mass should match the target object's mass, and seeks theoretical validation of this concept.

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  • Understanding of kinetic energy calculations (1/2mv²)
  • Basic principles of momentum conservation
  • Knowledge of elastic and inelastic collisions
  • Familiarity with potential energy concepts
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adamxrt
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Hi,I want to design a crude pendulum impact device which i can use to measure initial velocities of objects on a frictionless surface. i.e measure energy at the start and end of the pendulums swing, to see how much has been absorbed into the impact.

Heres my question about momentum on frictionless surface. Picture the pendulum at its NORMAL position, potential energy is zero, kinetic is maximum, we calculate the velocity of the pendulums hammer using 1/2mv^2. At this point is also when it collides with the object on the flat frictionless surface.
EDIT(this is obviously after the pendulum has been let go from rest at an angle, an dhas just reached the normal position)
If the mass of pendulum is equal to the mass of the object on the surface, we would simply have a situation where the pendulum exchanges its velocity into the object on the frictionless surface, and then is at rest.

Is this true?

if so then what happens when the mass of the pendulum is LOWER than the mass of the object on the frictionless surface? Does it bounce back in the opposite direction?

lets say the distance from the center of the pendulum is 0.2m from its pivot.
The method i am using to calculate the difference in energy from the pendulums wing, is measuring the angle of fall and the angle of rise, to calculate initial potential energy, and final potential energy, to find the amount of energy transferred to kinetic energy in the collision.

This relies on a "trailblazer" needle that rests at normal, but follows the angle of the pendulum on its motion in the angle of rise.

I don't want a situation where the pendulum mass bounces back in the direction of its swing. Theroretically this shouldn't happen?

I always want the mass to swing though a decent angle into the rise tho that it can be measured by the "trailblazer" allowing the person conducting the experiment to calculate energy transfer properly.Lets say the lowest mass of the object on the frictionless surface will be 0.3kg. What sort of minimum mass should i have as my pendulum hammer?
 
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Right, if the pendulum mass is less than the target, then it will bounce back, assuming an elastic collision. To most efficiently transfer the energy, the pendulum mass should be equal to the target.
 
Ok, thanks for that. How do i show this by theory though? May sound stupid but I've always been dodgy with my understanding of the momentum equations.
 

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