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A thin uniform disk of mass M has outer radius 4r and inner radius 3r. The work required to take a unit mass from point P pn its axis to infinity is?

A thin uniform disk of mass M has outer radius 4r and inner radius 3r. The work required to take a unit mass from point P pn its axis to infinity is?

Grade:11

1 Answers

Himaja
40 Points
7 years ago
The gravitational potential at a point P in the gravitational field is defined as the work required to bring a unit mass from infinity to the point P in the field.
Hence the problem is solved if  potential at P is calculated.
Consider a coaxial and concentric ring of radius and thickness dy 
Find potential at P due ti this element 
Integrate within proper limits. For y the limits being 3r and 4r.
Required W = - (potential)
 

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