1. (a) Figur1 shows the forces acting on a particle that falls from rest under gravity and is subject to a retarding force proportional to its velocity, bv Figure 1 mg (0) Show that the velocity, v,...
A particle falls under gravity from rest through a viscous medium such that the drag force is proportional to the square of the speed. Find the speed () at any time 0 and find the terminal speed v Velocity Forces by Newton's Second Law: dv dt dt ng
Problem 36 bclow presents a model describing the drag of a fluid medium that is released from rest at time t 0 (same initial conditions). Using Newton's Second Law, you build a model of the form particle moving through a (governing equation (initial velocity) mi mg-F drag '0 (0)(0)a (t) is the particle's position, m is the mass of the particle, g is the acceleration due to gravity, and Fa is the magnitude of the drag force. You account for...
1 In many fluids, the flow velocity is observed to vary linearly from zero at the bottom to u at the top. Moreover, the magnitude F of the force acting on the top plate is found to be proportional to the speed and the area A of eaclh plate, and inversely proportional to their distance separation y The proportionality factor μ is the viscosity of the fluid. Using the above equation find out the dimensions of (10 pts.) A car...