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Effect of Acceleration of Moving Object During Collision with Stationary Object

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Machines, Mechanism and Robotics

Abstract

In an application where a robotic arm hits an object, the effect of impact is required to be assessed. A classical approach determines the effect of impact based on the velocities of the objects. Magnitudes of acceleration are ignored in the analysis. In the robotic application, velocity shall always be associated with acceleration as it is a start and stop type of motion. This paper demonstrates the need of accounting for the acceleration magnitudes also to determine the effect of impact.

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Abbreviations

m 1 :

Mass of moving ball (kg)

m 2 :

Mass of stationary ball (kg)

L :

Length of string (m)

θ 1 :

Initial angle of moving ball

θ :

Actual angle of oscillation of moving ball after impact

θ′:

Maximum angle of oscillation of moving ball after impact assuming COR = 1

θ″:

Maximum angle of oscillation of moving ball after impact using experimentally determined COR

α :

Actual maximum angle of oscillation of stationary ball after impact

α′:

Maximum angle of oscillation of stationary ball after impact assuming COR = 1

α″:

Maximum angle of oscillation of stationary ball after impact experimentally determined COR

β :

Angle of impact

References

  1. Hibbeler RC (2010) Dynamics engineering mechanics, 12th edn. Pearson Prentice Hall, New Jersey

    MATH  Google Scholar 

  2. Hessel R, Perinotto AC, Alfaro RAM (2006) Force-versus-time curves during collisions between two identical steel balls. Am J Phys 74(3):176–179

    Article  Google Scholar 

  3. Peraire J, Windnall S (2009) Linear impulse and momentum collision. Dynamics MIT Open Source, pp 1–12

    Google Scholar 

  4. Kuwabara G (1987) Restitution coefficient in a collision between two spheres. Jpn J Appl Phys 26(8):1230–1233

    Article  Google Scholar 

  5. Cross R (2013) The coefficient of restitution for collisions of happy balls, unhappy balls, and tennis balls. Am J Phys 68(11):1025–1031

    Article  Google Scholar 

  6. Dong H (2003) Measurement of impact behavior between balls and walls in grinding mills. Miner Eng 16:543–550

    Article  Google Scholar 

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Deosant, P.V., Thorat, H.T., Tatte, R.N. (2022). Effect of Acceleration of Moving Object During Collision with Stationary Object. In: Kumar, R., Chauhan, V.S., Talha, M., Pathak, H. (eds) Machines, Mechanism and Robotics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-0550-5_78

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  • DOI: https://doi.org/10.1007/978-981-16-0550-5_78

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-0549-9

  • Online ISBN: 978-981-16-0550-5

  • eBook Packages: EngineeringEngineering (R0)

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