Calculating Gravitational Force on a Point Mass in the Presence of a Cavity

AI Thread Summary
The discussion focuses on calculating the gravitational force on a point mass located in the presence of a cavity within a larger mass. The lack of specific values for the cavity's radius and the mass complicates the calculation. A proposed approach involves using the center of mass and considering the gravitational effects from both the larger sphere and the cavity as a negative contribution. The conversation suggests that if the cavity were absent, the problem could be simpler, indicating a potential modeling strategy. Overall, the challenge lies in accurately determining the gravitational force with the given uncertainties.
maurice2705
Messages
6
Reaction score
0

Homework Statement


The question is presented as picture.


Homework Equations


We do not have the radius of the cavity and the position of the m. How can we find the force acted on it?


The Attempt at a Solution


r=1/(M-m)*Ʃmr=1/(M-m)*4/3ρR'^3*r where m is the mass of cavity ,R' is the radius of the cavity and r is the position of center of mass. But I can't find R'.
 

Attachments

  • Gravitation force.jpg
    Gravitation force.jpg
    22.5 KB · Views: 472
Physics news on Phys.org
Can you solve this problem if there was no cavity? If so, perhaps you can think of a way to model the problem so that the force on the point mass is the sum of two contributions, one from the big sphere and a "negative" from the small sphere?
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »

Similar threads

Gravitational Force on Mass in Cavity of Planet
Replies
8
Views
5K
Find the force of attraction for a particle outside sphere
Replies
7
Views
2K
Center of mass of a sphere with cavity removed
Replies
4
Views
7K
Gravitational Forces between two masses
Replies
5
Views
2K
A gravitation problem with two masses
Replies
16
Views
10K
Why is the thrust equation same under gravitational force?
Replies
10
Views
2K
Non-conductve sphere with cavity -- find Electric field
Replies
7
Views
2K
Rotating simple harmonic oscillator
Replies
11
Views
1K
How Does Angular Momentum Conservation Affect Asteroid Collision Dynamics?
7
Replies
335
Views
13K
Inverse square law of gravitation and force between two spheres
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top