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A particle of mass m is moving anticlock...

A particle of mass `m` is moving anticlockwise, in a circle of radius `R` in `x-y` plane with centre at `(R,0)` with a constant speed `v_(2)`. If is located at point `(2R,0)` at time `t=0`. A man starts moving with a velocity `v_(1)` along the positive `y`-axis from origin at `t=0`. Calculate the linear momentum of the particle w.r.t. man as a function of time.

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To solve the problem, we need to calculate the linear momentum of a particle moving in a circular path with respect to a man moving along the positive y-axis. Let's break down the solution step by step. ### Step 1: Understand the Initial Conditions At time \( t = 0 \): - The particle is at point \( (2R, 0) \). - The man starts at the origin \( (0, 0) \) and moves with velocity \( v_1 \) along the positive y-axis. ### Step 2: Determine the Position of the Particle Over Time ...
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