Center of mass of a tank (military vehicle)

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Homework Help Overview

The problem involves determining the center of mass of a toy tank model, which consists of a platform and a cannon. The platform has specified dimensions and weight, while the cannon is positioned on top of the platform at a certain distance from the front. The discussion also explores how the center of mass changes when the cannon is rotated at different angles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the equations related to the center of mass for composite bodies and question how to apply them to the specific parts of the tank. There is uncertainty about identifying the center of mass for each part and how to use the provided masses in calculations.

Discussion Status

Some participants have offered equations for calculating the center of mass and have engaged in clarifying the variables involved. There is an ongoing exploration of how to apply these equations to the problem, with participants questioning their understanding of the concepts and seeking further clarification.

Contextual Notes

Participants express a lack of familiarity with the equations for center of mass and are in the early stages of learning about the topic. There is a focus on understanding the setup and the relationships between the components of the tank model.

fondrika
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Homework Statement


a toy which have a shape of tank (military vehicle) has a platform of 192mm long, 140mm wide, weight of 2075grams. The canon is 239mm long, 50mm wide, and weight of 400grams. the canon is on top of the platform and being assembled 58mm from the front side of platform.
where is the center of mass of it?
where is the center of mass if the canon rotate 90 degree?
where is the center of mass if the canon rotate 180 degree?

the canon is 58mm on top of the platform and the rest (239-58) 181mm is hanging in the air

The Attempt at a Solution


i really have no idea how to find it...
 
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welcome to pf!

hi fondrika! welcome to pf! :smile:

what equations do you know for the centre of mass of a body made up of two parts?
 
i don't know an equations for CoM of a body made up of two parts...
i had just start learning center of mass.. but somehow i want to learn finding a center of mass of a body like that... but seems i don't know how... haha
 
what equations do you know for centre of mass? :confused:
 
x = (x1 m1 * x2 m2) / (m1+m2)
 
fondrika said:
x = (x1 m1 * x2 m2) / (m1+m2)

no, x = (x1 m1 + x2 m2) / (m1+m2) :wink:

ok, now apply that to the problem …

what do you get? :smile:​
 
oh yeah.. a lil mistake on the equation.. haha
but which one is the x1 and x2? and there are no gap between each part...
 
(try using the X2 button just above the Reply box :wink:)

x1 and x2 are the centres of mass of the two parts

where are they? :smile:​

(and you're going to need y1 y2 z1 and z2 also)
 
logically i now where the center of mass of each part. its just half of the wide and length isn't it?
is there any equation for to find the center of mass from a single part? or just use the the equation of X=(x1 m1 + x2 m2) / m1+m2 ?
if it is then the m1 and m2 will be the same? and which one is the x1 and x2?

btw thanks a lot for helping me...
 
  • #10
fondrika said:
logically i now where the center of mass of each part. its just half of the wide and length isn't it?

yes :smile:
just use the the equation of X=(x1 m1 + x2 m2) / m1+m2 ?
if it is then the m1 and m2 will be the same? and which one is the x1 and x2?

yes, but each m is the mass (given in the question) of that particular part :wink:
 

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