
full answer please B. Indentation of a cell with an adhesive sphere. Consider the situation depicted...
B. Indentation of a cell with an adhesive sphere. Consider the situation depicted in Figure 2. A compressive force F is applied by an adhesive sphere on an elastic half-space representing the surface of a cell. Our goal is to estimate to if Hertz model could still be used to establish the relationship between the force F and the indentation d, or if a model taking into account adhesion is unavoidable. R a d Figure 2. Adhesive contact between a...
B. Indentation of a cell with an adhesive sphere. Consider the situation depicted in Figure 2. A compressive force F is applied by an adhesive sphere on an elastic half-space representing the surface of a cell. Our goal is to estimate to if Hertz model could still be used to establish the relationship between the force F and the indentation d, or if a model taking into account adhesion is unavoidable. R a d Figure 2. Adhesive contact between a...
full answer please
Dimitriadis et al. (Dimitriadis et al., Biophysical Journal 82(5) 2798–2810) have established a correction to the Hertz model for the indentation of a thin layer of thickness h and Young's modulus E, by a sphere R pressed with a force F. For an incompressible layer bonded to its substrate, the relationship between the compressive force Fand the indentation dis : ER1/2d3/2[1 + 1.133x + 1.283x2 +0.769x3 + 0.0975x4], Rd where x = aperta h Q10. Calculate the...
Dimitriadis et al. (Dimitriadis et al., Biophysical Journal 82(5) 2798–2810) have established a correction to the Hertz model for the indentation of a thin layer of thickness h and Young's modulus E, by a sphere R pressed with a force F. For an incompressible layer bonded to its substrate, the relationship between the compressive force Fand the indentation dis : ER1/2d3/2[1 + 1.133x + 1.283x2 +0.769x3 + 0.0975x4], Rd where x = aperta h Q10. Calculate the relative error e...
Problem 2 (10 pt.) A homogeneous sphere of mass m and radius b is rolling on an inclined plane with inclination angle ? in the gravitational field g. Follow the steps below to find the velocity V of the center of mass of the sphere as a function of time if the sphere is initially at rest. Bold font represents vectors. There exists a reaction force R at the point of contact between the sphere and the plane. The equations...
question (c), (d), (e), (f) please. Thanks.
1 Consider a cylinder of mass M and radius a rolling down a half-cylinder of radius R as shown in the diagram (a) Construct two equations for the constraints: i rolling without slipping (using the two angles and θ), and ii) staying in contact (using a, R and the distance between the axes of the cylinders r). (b) Construct the Lagrangian of the system in terms of θ1, θ2 and r and two...
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E. arctan(a/vr) 11. In what aituations, if ang, can force? body move in a eircular peth at coatant ped withoal eeatripetal A. None. 0) In certain special non-inertial frames C. In all non-inertial frames. ex, D. In all inertial frames. E Always 12. A loaded penguin sled weighing 80 N reeta on a plane inclined at angle 20 to the horieontal (ee Egure below) Between the sled and the plane, the coefficieet of static friction in 0.25, and...
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draw graph. Also label the answers thoroughly. Answer both for
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m2 6 Fig awre . 2. The magnitude of the force of attraction between the positively charged proton and the negatively charged electron in a Hydrogen aton is given by f(r) = ke2/r2 where e is the charge on the proton, k is Coulomb's constant, and r is the distance between the proton and the electron. Assume that the protorn can't move. The...
b. For the above to be true, the constant term e must be related HOW to the constants 0 and K ? (Write down an equation that includes all four constants.) (3 pts.) c. Show how v, the speed at which one pulse (or crest or trough, etc.) of the wave propagates, can be expressed in terms of your finding in (b). Show reasoning, not just a final answer (3 pts). w = angular frequency = number of cycles per...
answer all multiple choice please
1 12. A tiny spherical water drop has a charge of 3.00 X 10'15C. How many excess electrons are on the drop? b.2.25X10c. 1.6X 01 d. 1.87 X 10 13. A wire contains a steady eurrent of 0.75 A. The charge that passes a cross section in 3 s is: e. 3.35 C d, 225 С b, 6.4 x 10-1, С с.1.55 С a32x10", С 14. An electric field with a magnitude of 5 X...