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131.EqSheet1.2.Knight - v(9.3 Angular momentum L = I(13.55...

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Physics 131 – Equation Sheet – Fall 2005 [Version 1.2 – 11.25/05] Kinematics – Keeping Track of Position, Velocity, and Acceleration instantaneous velocity v s = ds/dt (2.24) instantaneous acceleration a s = dv s /dt (2.26) Table 2.3 – PSS 2.1 (p56-p57) Table 13.1 (p373) v fs = v is + a s D t (2.18) w f = w i + a D t s f = s i + v is D t + (1/2) a s (D t) 2 (2.20) q f = q i + w i D t + (1/2) a (D t) 2 v fs 2 = v is 2 + 2 a s D s (2.22) w f 2 = w i 2 + 2 aDq s f = s i + (1/2)( v is + v fs ) t s f = s i + v fs t –(1/2) at 2 Dynamics (See table 13.2 for relation between linear and rotational dynamics) Force F Torque t = rF sin f (13.14) Mass m Moment of inertia I = m i r i 2 i (13.25) Newton’s 2 nd Law: r F = m r a = d r p dt (4.4, 9.4) t = I a (13.26) Conservation Laws (Energy and Momentum) Momentum
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Unformatted text preview: v (9.3) Angular momentum L = I (13.55) Impulse p x = J x (9.8) Kinetic Energy K = (1/2) mv 2 (10.11) Rotational kinetic energy K = 1 2 I 2 (13.33) Work W = F s ds s i s f (11.8) Power P = r F • r v = dW dt (11.38) Frictional Force Spring Force Gravitational Force f s max = m s n (5.12) ( F sp ) s = -k s (10.26) U g = mgy (10.12) f k = k n (5.13) U s = (1/2) k ( s ) 2 (10.36) F 1 on 2 = F 2 on 1 = Gm 1 m 2 /r 2 (12.2) U g = -Gm 1 m 2 /r (12.15) Circular Motion Parallel Axis Theorem a r =-v 2 r (7.14) v t = r (13.2) I = I cm + Md 2 (13.29) a t = r (13.5)...
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