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- Find the natural frequency (in Hertz) of the system illustrated in the following figure. Consider the length of the rigid bar as 2L and assume K1=4,659 N/m, K2=5,977 N/m, M=0.6 kg, L=0.5 m and g=9.81 m/s2.The astronomical object 4U014 + 61 has the distinction of creating the most powerful magnetic field ever observed.This object is referred to as a “magnetar” (a subclass of pulsars),and its magnetic field is 1.3 * 1015 times greater than the Earth’smagnetic field. (a) Suppose a 2.5-m straight wire carrying a currentof 1.1 A is placed in this magnetic field at an angle of 65° to the field lines. What force does this wire experience? (b) A field thisstrong can significantly change the behavior of an atom. To seethis, consider an electron moving with a speed of 2.2 * 106m>s.Compare the maximum magnetic force exerted on the electronto the electric force a proton exerts on an electron in a hydrogenatom. The radius of the hydrogen atom is 5.29 * 10-11 mWhether this function satisfies Laplace equations are harmonic U=x²-y²-2xy-2x
- (a) Find E(R,t), the electromotive force (EMF) around a loop that is at distance R from the z axis, where R is restricted to the region outside the iron rod as shown. Take the direction shown in the figure as positive. (b) Due to the cylindrical symmetry of this problem, the induced electric field E→(R,t) can depend only on the distance R from the z axis, where R is restricted to the region outside the iron rod. Find this field.Find the natural frequency (in Hertz) of the system illustrated in the following figure. K1=731 N/m, K2=496 N/m, K3=775 N/m M=0.2 kg, and L=2 m.Assume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed × pulse duration = 50.0 m/s × 0.0020 s = 0.10 m). In the resting state, the outer surface of the axon wall is charged positively with k* ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in the figure below. Model the axon as a parallel-plate capacitor and take C = KEA/d and Q = CAV to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.4 x 10-8 m, axon radius r = 1.4 x 101 um, and cell-wall dielectric constant k = 2.2.
- 1) A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(πZ/2L)where Jo is a constant.The boundary conditions are dΦ(o)/dz =0 AND Φ(L)=0 Find Φ(z) and graph (1/GJo)Φ(Z), and (1/GJo)(dΦ(Z)/dz) ?In certain area in the ocean, its density is 1000 kg/m3, the tidal wavelength of 700 km,wave height of 150m, water depth of 275m and wave period of 8 s. Find the following: d. Wave power over a width 300m.Find the coefficient of volume expansion of argon at 150 C? A) 0.0077 B) 1 C) not sufficient information D) 0.0067 E) 0.0023
- Find the coefficient of volume expansion of argon at 150 C? 2 points a)1 b)0.0023 c)0.0077 d)0.0067 e)not sufficient informationMechanical vibrations problem: Find the product of the complex numbers z1 = (1 + 2i) and z2 = (3 — 4i) and express the result in the form Aeiθ.A single square loop of wire is placed in the center of a large solenoid as shown. The solenoid has a radius 5.00 cm and the square loop is 3.0 cm on a side. The solenoid is 0.20 cm long and wound with 200 turns of wire. If the current in the solenoid is 3.00 A, what is the flux through the square loop? If the current in the solenoid drops to zero in 0.500 seconds, what is the magnitude of the average induced emf in the square loop?