3. This is based on exercise 5.57 in Morin. A particle of mass m is located at the tip of a hollow cone (like an ice cream cone without the ice cream) with surface mass density o (mass/area). The slant height of the cone is L, and the half angle at the vertex is 0. A length < L is removed from the cone, as shown below: in M. Find the gravitational force on the particle, Is the result, finite as f → 0?
3. This is based on exercise 5.57 in Morin. A particle of mass m is located at the tip of a hollow cone (like an ice cream cone without the ice cream) with surface mass density o (mass/area). The slant height of the cone is L, and the half angle at the vertex is 0. A length < L is removed from the cone, as shown below: in M. Find the gravitational force on the particle, Is the result, finite as f → 0?
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Transcribed Image Text:3.
This is based on exercise 5.57 in Morin. A particle of mass m is located at
the tip of a hollow cone (like an ice cream cone without the ice cream) with surface mass
density o (mass/area). The slant height of the cone is L, and the half angle at the vertex is
0. A length <L is removed from the cone, as shown below:
Find the gravitational force on the particle. Is the result finite as l→ 0?
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