Dynamics Exam 2 Formula Sheet

Dynamics Exam 2 Formula Sheet - Work of a Force...

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Unformatted text preview: Work of a Force : dU=F*ds*cosθ dU = F · dr Work of a Variable Force U 1-2 = ∫F·dr=∫F cosθds Work Constant F along Straight Line U 1-2 = F c * cosθ (s 2-s 1 ) Work of a Weight : U 1-2 =-WΔy Work of Spring Force : F=ks U 1-2 =-(½ *ks 2 ^2-½ *ks 1 ^2) Principle of Work & Energy T=½ *m*v^2 ∑ U 1-2 = -WΔy+½ *k(s 2 ^2-s 1 ^2) T1 + ∑ U 1-2 = T2 Work of Friction caused by Sliding ½mv1^2 + P*s – μk*N*s = ½mv2^2 ½mv1^2– μk*N*s = ½mv2^2 (No P) ½mv^2 – μk*m*g=0 Power & Efficiency P = dU/dt = F·dr/dt = F·v P=T*v P=F*v cosθ ε=output/input (applies to both power & energy) Conservative Forces & PE V(g)=Wy V(g)>0 if y is above the datum V(g)<0 is y is below the datum Elastic PE V(e)= ½ks^2 V(potential function) =V(g)+V(e) Conservation of Energy T1 + V1 = T2 + V2 = constant Linear Momentum & Impulse L = mv I = ∫Fdt = F(t2-t1) Principle of Linear Impulse & Momentum mv1 + ∑Fdt = mv2 mvx1 + ∑Fxdt = mvx2, same for y&z PLIM for System of Particles ∑mi(vi)1 + ∑Fi*dt = ∑mi(vi)2...
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