# Angular momentum of time dependent particle motion

**1. The problem statement, all variables and given/known data**

A particle of mass m moves in a circle of

radius R at a constant speed v. Assume: The

motion begins from the point Q, which has

coordinates (R, 0).

Determine the angular momentum of the

particle about point P, which has coordinates

(−R, 0) as a function of time.

The answer choices can be found at: http://ift.tt/1jpDIBe

**2. Relevant equations**

v = Rω

L = R x p = Rpsin(θ_{r,p}) = Rmv(sinθ_{r,p})

θf = θi + (ω_{i}t)

θf = θi + (vt/R)

**3. The attempt at a solution**

L_{1} at position Q = R x p = Rpsin(θ_{r,p}) = Rmv(sinθ_{r,p})

L_{2} at position P = R x p

L_{2} at position P = Rpsin(-θ_{r,p})

L_{2} at position P = Rmv(-sinθ_{r,p})

L_{2} at position P = Rmv(sin((vt/R)+∏)))

However all answers have Rmv(____ + 1) factor. Which I do not have. Therefore I have reason to believe that my answer is incorrect.

My guess is that the answer is Rmv(sin((vt/R)+∏))+1)

http://ift.tt/1g0tRRT

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