Centre of mass of three particles of masses 1
kg, 2 kg and 3 kg lies at the point (1, 2, 3) and centre of mass of another system of particles 3 kg and 2 kg lies at the point (-1, 3, -2). Where should we put a particle of mass 5 kg so that the centre of mass of entire system lies at the centre of mass of first system?
Text Solution
Verified by ExpertsThe correct answer is:
D
According to the definition of centre of mass, we can imagine one particle of mass 
at 
; another particle of mass 
at 
.
Let the third particle of mass 5 kg put at 
i.e.,
Given, 
Using 
Similarly, 
and 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Two uniform solid spheres are placed at some distance. The centre of mass of system –
Where will be the centre of mass on combining two masses m and M(M > m) :
In the HCl molecule, the separation between the nuclei of the two atoms is about 1.27 Å (1 Å = 10 –…
The distance between the carbon atom and the oxygen atom in a carbon monoxide molecule is 1.1 Å. Gi…
Three identical metal balls each of radius r are placed touching each other on a horizontal surface…
Centre of mass is a point