a mass is moving towards the origin along the x axis with constant velocity its angular momentum with respect to the origin
Answers
Answered by
14
Answer :- Angular momentum with respect to the origin remains constant.
Explanation :-A body of mass m moves along x axis with constant velocity as shown in figure . It makes θ with the origin.
e.g., velocity vector = vi
Position vector , r = rcosθ i + rsinθ j
Now, angular momentum , L = m(r × v)
= m{(rcosθ i + rsinθj) × vi }
= -mvrsinθk
∵ rsinθ = h
So, L = -mvh k , it is constant.
Hence, angular momentum of body with respect to the origin remains constant.
Explanation :-A body of mass m moves along x axis with constant velocity as shown in figure . It makes θ with the origin.
e.g., velocity vector = vi
Position vector , r = rcosθ i + rsinθ j
Now, angular momentum , L = m(r × v)
= m{(rcosθ i + rsinθj) × vi }
= -mvrsinθk
∵ rsinθ = h
So, L = -mvh k , it is constant.
Hence, angular momentum of body with respect to the origin remains constant.
Attachments:
Answered by
1
Answer:
constant
Explanation:
Similar questions