Finding Multiple Images in a Convex Spherical Mirror

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AI Thread Summary
A convex spherical mirror with a focal length of 24.0 cm is positioned 18.0 cm to the left of a plane mirror, creating multiple images of a 0.350 cm tall object placed midway between them. To solve for the locations of the two closest images formed by the spherical mirror, a diagram is recommended for clarity. Participants are encouraged to break the problem into two parts and utilize optics equations. There is a mention of previous attempts yielding incorrect answers, indicating the complexity of the problem. The discussion emphasizes the importance of visual aids and methodical approaches in solving optics problems.
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Homework Statement



A convex spherical mirror with a focal length of magnitude 24.0 is placed 18.0 to the left of a plane mirror. An object 0.350 tall is placed midway between the surface of the plane mirror and the vertex of the spherical mirror. The spherical mirror forms multiple images of the object.
Find
a) Where are the two images of the object formed by the spherical mirror that are closest to the spherical mirror?
( , ) = ...... , ......... cm
b) How tall is each image?
( , ) = ....... , ....... cm


Homework Equations





The Attempt at a Solution

 
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You have to try by yourself first.
 
I suggest drawing a diagram with labels first and breaking it into two separate parts.
 
This Tool Will help you draw a diagram quickly.

Set up the optics and sources, then take a screencap to post.
 
I tried but my answers were wrong.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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