Question

7. State the angular analogs of Newton’s laws of motion in words and using equations. Rearrange...

7. State the angular analogs of Newton’s laws of motion in words and using equations. Rearrange the 2nd law to reveal angular momentum and the angular impulse-momentum relationship and describe in words each step/rearrangement.

Homework Answers

Answer #1

F = m *a

angular analogs

τ=I* α

Force F = torque  τ

m ( mass) = I ( moment of inertia )

Linear acceleration (a) = Angular acceleration (α)


if we apply torque on a body, the applied torque is proportional to the multiplication of moment of inertia and angular acceleration

τ=I* α = I *dω /dt = d(Iω) /dt = dL/dt  

τ = dL/dt

compare it with

F = d( m*v) /dt =dp/dt  

so angular momentum = L = Iω

τ = dL/dt   

dL = τ dt = angular impulse-momentum = I

I = τ dt = dL

same as we did

F =dp /dt

dp = F.dt

I= F*dt = dp

Leave Ratings :)
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