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A disc of radius R , mass M lies on smooth horizontal surface. Two persons of equal mass m standing on diametrically opposite points. Both persons start moving in same sense, then find angle rotated by disc when both persons complete round trip?

A disc of radius R, mass M lies on smooth horizontal surface. Two persons of equal mass m standing on diametrically opposite points. Both persons start moving in same sense, then find angle rotated by disc when both persons complete round trip?

Grade:12th pass

1 Answers

Vikas TU
14149 Points
7 years ago
Reposting the answer for the qstn. posted twice:
ย 
In same sense as it has been mentioned in the qstn. assuming both v speed as clockwise (let),
the disc to be assumed as a rectangular piece of length 2*pi*R and width R (ct from the first person standing)
then from,ย 
m1 x1 = ย m2 ย x2 we get,
M * x = m * (2*pi*R โ€“ x)
x = 2M*PI*R/(M+m)
This is due to one person.
Due to two persons the total angle would be=>
x = 4M*PI*R/(M+m) radians.

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