LIVE Course for free

Rated by 1 million+ students
Get app now
Class 8 Foundation Course
Class 9 Foundation Course
Class 10 Foundation Course
Class 11 Foundation Course
Class 12 Foundation Course
JEE COURSE
NEET COURSE
0 votes
18 views
in Physics by (54.3k points)
closed by
A system of particles has its centre of mass at the origin. Then the x co-ordinates of the particle-
1. is positive for all particles
2. is negative for all particles
3. is positive for some particles and negative for some other particles
4. none of the above

1 Answer

0 votes
by (30.0k points)
selected by
 
Best answer
Correct Answer - Option 3 : is positive for some particles and negative for some other particles

The correct answer is option 3) i.e. is positive for some particles and negative for some other particles

CONCEPT:

  • Center of mass: Center of the mass of a body is the weighted average position of all the parts of the body with respect to mass.
    • The centre of mass is used in representing irregular objects as point masses for ease of calculation.
    • For simple-shaped objects, its centre of mass lies at the centroid.
    • For irregular shapes, the centre of mass is found by the vector addition of the weighted position vectors.
  • The position coordinates for the centre of mass can be found by:
    \(C_x = \frac{m_1x_1 +m_2x_2 + ... m_nx_n}{m_1 + m_2 +... m_n}\)   \(C_y = \frac{m_1y_1 +m_2y_2 + ... m_ny_n}{m_1 + m_2 +... m_n}\)


EXPLANATION:

  • The centre of mass is the algebraic sum of the products of mass of particles and their respective distances from a point of reference.
  • The mass of a particle cannot take a negative value.
  • Thus, the distances or coordinates of the particles should have negative and positive values for the centre of mass to be zero.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...