Q 34 In the figure shown find out the distance Of centre of mass of a system of a - Physics - Communication Systems

Question

Q 34 In the figure shown find out the distance Of centre of mass of
a system of a uniform circular plate of
radius 3 R from O in which a hole of radius R is cut whose centre
is at 2R distance from centre of large circular plate

(1) R/4
(2) R/5
(3) R/2
(4) none of these

Shobhit Mittal · Accepted Answer

Dear Student,

take the mass removed as -ve mass
CM  X=π3R2*0-πR22Rπ3R2-πR2=-2R9-1=-R4R/4  opposit to the hole 
REgards

Q.34. In the figure shown find out the distance Of centre of mass of a system of a uniform circular plate of radius 3 R from O in which a hole of radius R is cut whose centre is at 2R distance from centre of large circular plate. (1) R/4 (2) R/5 (3) R/2 (4) none of these

Q.34. In the figure shown find out the distance Of centre of mass of a system of a uniform circular plate of
radius 3 R from O in which a hole of radius R is cut whose centre is at 2R distance from centre of large circular plate.

(1) R/4
(2) R/5
(3) R/2
(4) none of these