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17 Cards in this Set
- Front
- Back
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Drag Force |
f(v) = f_lin + f_quad f_line = bv = beta*D*v f_quad = cv^2 = gamma*D^2*v^2 |
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Center of Mass of Several Particles |
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Angular momentum |
l = r x p |
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Total angular momentum for several particles |
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Change in total angular momentum (L dot) |
L_dot = net external torque |
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Change in total linear momentum |
P_dot = external force |
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External Force (momentum form) |
F_ext = MR_ddot |
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Change in angular momentum for single particle !relative to origin! |
l_dot = r x F == T (net torque) |
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When is l_dot == 0 |
l_dot = r x F ==0 for single particle when torque=0 at origin And F is parallel to position vector r |
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Angular momentum (in terms of mass and angular velocity) |
l = m*r^2*w Because l = r x p p = mv w = v/r |
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Change in KE |
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Conservative potential energy |
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Potential energy for hookes law |
U = 0.5 * kx^2 |
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SHM |
For x_ddot = -w^2 * x Where w^2 = k/m |
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Damped osc |
Damping force -bv
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Driven damped osc |
x_ddot + 2beta*x_dot + omega_0^2*x = f(t) Where f(t) is F(t)/m General solution for sinusoidal driving force: X(t) = A*cos(wt - d) + C*e^(r_1*t) + D*e^(r_2*t) |
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Weakly damped driving osc: general sol w/ transient specifications |
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