University Physics with Modern Physics, 14/e
Young/Freedman
Chapter 10 Key Equations
τ = Fl = rF sin φ = Ftan r (magnitude of torque)
τ =r×F
(10.2)
(definition of torque vector)
(10.3)
∑τ
= Iα z
(rotational analog of Newton’s second law for a rigid body)
(10.7)
K = 12 M υcm 2 + 12 I cmω 2
(rigid body with both translation and rotation)
(10.8)
υcm = Rω ( condition for rolling without slipping )
(10.11)
∑F
ext
∑τ
θ2
z
z
= M acm
(10.12)
= I cmα z
(10.13)
( work done by a torque )
W = ∫ τ z dθ
θ1
W = τ z (θ2 − θ1 ) = τ z Δθ
(10.20)
(work done by a constant torque)
ω2
Wtot = ∫ I ωz dωz = 12 I ω2 2 − 12 I ω12
(10.22)
ω1
P = τ zω z (power due to a torque)
L = r × p = r × mυ
L = Iω
(10.21)
(10.23)
(10.24)
(angular momentum of a particle)
(Angular momentum for a rigid body rotating around a symmetry axis) (10.28)
∑τ
=
dL
dt
Copyright © 2016 Pearson Education, Inc.
(for any system of particles)
(10.29)
Page 1 of 1