Question icon
Grade 12th PassMechanics

A uniform metal disc of radius R is taken and out of it,a disc of diameter R is cut off from the end.the center of mass of the remaining part will be

a.R/4 from the center

b.R/3 from the center

c.R/5 from the center

d.R/6 from the center

Profile image of Menka Malguri
15 Years agoGrade 12th Pass
Answers icon

2 Answers

Profile image of KARAN ACHARYA
ApprovedApproved Tutor Answer15 Years ago

let origin be the centre of metal disc

0 = [M1X1 +M2X2] / [M1 + M2]

mass of disc of diameter R = M/4

0 = [3m/4 X + (M/4)(R/2)] / [3M/4 + M/4]

X=[-R/6]

 

Ans d.R/6

Profile image of ankit singh
5 Years ago

 

Let origin be the centre of metal disc
0=M1​+M2​M1​X1​+M2​X2​​
Mass of disc of diameter R = M/4
0=[3M/4+M/4]3M/4X+(M/4)(R/2)​
X=−[6R​]