Analysis of Equations of Motion in a solid plate - Lamb waves

Please see problem attached. I have included the text with which i am struggling. I have a loose grip of Vector maths and think this is what's letting me down. Thus, i'd like to know in detail (no assumptions) how equations (7) and (8) arrive from equations (3) and (4). --- Consider a thin plate from a lossless isotropic ...continues

Wave propagation in a string of varying densities.

(See attached file for full problem description with symbols and diagrams) --- Consider a string of total length , made up of three segments of equal length. The mass per unit length of the first segment is , that of the second is , and that of the third . The third segment is tied to a wall, and the string is stretched by ...continues

Electrostatics: Ootential energy and conservation laws

Two particles each have a mass of 5.4 x 10-2 kg. One has a charge of +4.8 x 10-6 C, and the other has a charge of -4.8 x 10-6 C. They are initially held at rest at a distance of 1.1 m apart. Both are then released and accelerate toward each other. How fast is each particle moving when the separation between them is one-half its ...continues

Model of dielectric with frequency dependent dielectric constant

(See attached file for full problem description) --- Frequency dependent dielectric constant The polarization of a dielectricum P(r,t) is given by calculating the mean of the induced dipole moment of the bound charge in a small volume V(r) in the neighbourhood of r, i.e P(r,t) = (1/V(r))j pj(t) In a simple model fo ...continues

Three problems on electrostatics

(See attached file for full problem description) --- 4 a) Sketch arrows on the diagram (see attachment) to indicate the direction of the electric field, if any, at each of the points A, B, C, and D. A positively charged test particle is observed to move as described below. For each motion, tell whether the work done by ...continues

Dipole moment of a non-uniform surface charge distribution on a sphere

See attached file for full problem description.

Current and Resistance

1.) A person notices a mild shock if the current along a path through the thumb and index finger exceeds 70 µA. Compare the maximum possible voltage without shock across the thumb and index finger with a dry-skin resistance of 5.0e5Ω and a wet-skin resistance of 1500Ω. Dry skin = __________V Wet skin = _________ ...continues

Review Sheet Help

Location A is 4 m to the LEFT of a point charge of 0.3 μC. Location B lies on the same line and is to the RIGHT of the charge. The potential difference VB - VA = 100 V. How far is Location B from the point charge? A uniform electric field has a magnitude of 2 x 103 N/C. In a vacuum, a proton begins with a speed of 4 x ...continues

2 physics questions

Location A is 4 m to the LEFT of a point charge of 0.3 μC. Location B lies on the same line and is to the RIGHT of the charge. The potential difference VB - VA = 100 V. How far is Location B from the point charge? A uniform electric field has a magnitude of 2 x 103 N/C. In a vacuum, a proton begins with a speed of 4 x ...continues

Several conceptual questions pertaining to a group of point charges and its Electric field, Electric potential and Coulomb force.

1. The diagram shows the electric field due to a point charge. Determine if the point charge is positive or negative. Find the location of the charge. Draw it on the diagram. (See diagram) 2. Can you assign charges for the following four cases, so that these forces are correct? (See diagram) 3. Figure below shows three poi ...continues