Beware of mirrors
A point object is kept at rest at point O as shown in the figure. Both the hanging masses are released at . The strings are inextensible and light. Mirrors are attached to both the upper blocks as shown. Find the acceleration of one image with respect to the other image. If your answer is of the form where A and B are co-prime to each other, then submit your answer as
Details and Assumptions:
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Take acceleration due to gravity as .
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Mass of each block is as shown
The answer is 151.
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1 solution
Left side:
T1 = m a1
4mg - T1 = 4m a1
a1 = 4g / 5
Repeating for right side results to: a2 = 6g / 7
acceleration of left image is twice the acceleration of left mirror
acceleration of right image is twice the acceleration of right mirror
relative acceleration of images is: 2 a1 + 2 a2 = 116g / 35