plzzzz solve it....
Attachments:
Answers
Answered by
79
GIVEN:-
The masses of four particles are
First particle (m₁) = m
Second particle (m₂) = 2m
Third particle (m₃) = 3m
Fourth particle (m₄) = 4m
TO FIND:-
The centre of mass of the system about the mass m placed at the origin.
The co-ordinated in which the particles are lying are,
→ (0,0) ; (1,0) ; (1,1) ; (0,1)
Now,
- Applying for the formula for the X-component of the centre of mass,
- Putting the respective values of, we get,
Both numerator and denominator can be divided by 2.
Applying for the formula for the Y-component of the centre of mass,
- Putting the respective values of, we get,
Hence,
- The coordinates for the centre of mass should be written as,
Attachments:
Answered by
19
Answer:
Let co-ordinates of centre of mass is M (x,y)
x = m₁x₁ + m₂x₂ + m₃x₃ + m₄x₄
m₁ + m₂+ m₃ + m₄
= m × 0 + ( 4× 0 + 3 × a + 2 × a ) m
m + 4m + 3m + 2m
= 5am . = 1 a
10 m. 2
y = m × 0 + 4m × a + 3 m × a + 2 m × 0
10 m
= 7am. = 7 a
10 m. 10
m( 1/2 a, 7/10 a)
hope this helps you
Attachments:
Similar questions