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Answers
1/2
because it can fall or cannot fall total samplespace 2 for falling it's probability 1/2
Hey!!
Here is your answer -
Let
- the the total weight of the fan be 10kg .
- the external diameter of Down rod is 2cm .
- the internal diameter of Down rod is 1cm .
- the diameter of the mounting bracket’ bolt is 30mm .
Analysing mounting bracket:
The bolt of mounting bracket will experience a flexural stress.
Using the bending equations formula,
(M/I)=(f/y)
(0/(3.142∗(304)/64))=(f/15) ( M is zero since the hanging load acts at the point of supports on the bolt of the mounting bracket)
The bending stress experienced by the bolt comes out to be 0Pa .
Analysing down rod
The down rod experiences a normal vertical stress due to the load of the fan
Therefore, the normal stress experienced by the down rod is
f=(W/A)
=>f=((10∗9.81)/((3.142∗((202)−(102))/4)
Stress is 0.416MPa which is way less than the endurance limit of the mild steel.
Hence, the rod has zero (or theoretically negligible) probability to fail.