Three identical spheres each of radius R are placed such that their centres lie on a straight line. What is the location of their centre of mass from the centre of the first sphere?

Category: QuestionsThree identical spheres each of radius R are placed such that their centres lie on a straight line. What is the location of their centre of mass from the centre of the first sphere?
Editor">Editor Staff asked 1 year ago

Three identical spheres each of radius R are placed such that their centres lie on a straight line. What is the location of their centre of mass from the centre of the first sphere?
 
(a) R
 
(b) 2R
 
(c) 3R
 
(d) 4R
 
I got this question at a job interview.
 
The doubt is from System of Particles topic in section System of Particles and Rotational Motion of Physics – Class 11
Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 1 year ago

The correct answer is (b) 2R
 
To elaborate: Distance between first and last sphere = R + 2R + R = 4R
 
Since the spheres are identical and lie in a straight line, the centre of mass will lie exactly in the middle.
 
Hence the centre of mass lies at a distance of 2R from the centre of the first sphere.