Physics - Center of Mass Question with Solution | TestHub

PhysicsCenter of MassMotion of centre of massMedium2 minQB
PhysicsMediummatching list

The centre of mass of given system is at a distance x from geometrical centre of bigger body.

List - I

List - II

(A) (Disk with one circular cavity)

(P)

(B) (Disk with two circular cavity)

(Q) Centre of mass lies outside the bigger body

(C) (Disk with one square cavity)

(R)

(D)

(Disk with one attached circular mass)

(S) Centre of mass lies within bigger body

 

(T) None of these

Options:

Answer:
A
Solution:

A: Treat the circular cavity as negative mass. The COM shifts away from it but stays inside, so 0 < x < R:

 

B: Treat the two circular cavities as negative masses. The resultant COM stays inside, so 0 < x < R

 

C: Treat the square cavity as negative mass. The COM shifts opposite the removed part but stays inside: R

 

D: Treat the attached circular body as positive mass. The COM shifts toward it but remains within the bigger body:

 

Therefore the matching code is option A.

 

Final mapping: A -> R,S; B -> R,S; C -> R,S; D -> R,S. Option A.

Stream:JEESubject:PhysicsTopic:Center of MassSubtopic:Motion of centre of mass
⏱ 2mℹ️ Source: QB

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