The figure shows a rod of length L = 11.8 cm that is forced to move at constant speed v = = 4.02 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance 0.318 Q2; the rest of the loop has negligible resistance. A current i = 86.1 A through the long straight wire at distance a = 8.88 mm from the loop sets up a (nonuniform) magnetic field throughout loop. Find the (a) magnitude of the emf and (b) current induced in the loop. (c) At what rate is thermal energy generated in the rod? (d) What is the magnitude of the force that must be applied to the rod to make it move at constant speed? (e) At what rate does this force do work on the rod? • •

The current through a 0.2-H inductor is shown in the figure. Assume the passive sign convention, and find v at t equal to: (a) 0; (b) 2 ms; (c) 6 ms. i̟ (mA) 4 →t (ms) 7 -3 -2 -1 1 2 3 4 -2 -4 -96 17

The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ = 32.0 degrees. There is a resistor at the top of the ramp that connects the two conducting rails (R = 1.5 ohms). The mass of the rod is 0.43 kg. The rod starts from rest at the top of the ramp at time t = 0. The rails have negligible resistance and friction, and are separated by a distance L = 15.3 m. There is a constant, vertically directed magnetic field of magnitude B = 1.40 T. What is the rod's terminal speed?

inika MCE102 istesi The Force shown in the figure is F = 30i + 40j-120k N 4 m 2 m 1- 15m 2.5 m 2 m 0.5 m What is the moment of force F about point A?

The circuit in the figure below contains two resistors, R₁ = 1.80 kQ and R₂ = 2.60 kn, and two capacitors, C₁ = 2.50 μF and C₂ = 3.50 μF, connected to a battery with emf Ɛ = 105 V. There are no charges on the capacitors before switch S is closed. R₁ C₁ ++ R₂ S E (a) Determine the charge on capacitor C₁ as a function of time (in ms), after the switch is closed. (Use the following as necessary: t.) 91 = нс (b) Determine the charge on capacitor C2 as a function of time (in ms), after the switch is closed. (Use the following as necessary: t.) 92' Need Help? Read It ис

In the system given in Figure 2, find the tensile strength force on the cable when =60o, (mP = 1kg, no reaction force occurs on the ground.)

2.) Please help with problem

Do this in paper, plz

The two springs (AB) and (AC) are shown, in figure (a) below, in their original unstretched position. After the application of a force F, the stretched position is shown in figure (b). The stiffness of spring (AC) is k(A) = 200 /ft The stiffness of the spring (AB), k(AB). is unknown. What would be the stretched length in spring (AC)? 3 ft KAB 3 ft F A KAC 200 4 2f+ 2f+ -2 ft (a) b) 4 ww ww.

1. A 100lb weight is suspended by three cables as shown in the figure. The ratios of the stiffness of the cables are: AP:BP:CP = 2k:k:3k, i.e. cable AP and CP are respectively 2x and 3x the stiffness of cable BP. Before the load is applied, all three cables are unloaded and the geometry is as shown. B 45° 60⁰ V 60" P you 45° C 461 Assuming the cables are very stiff and the displacements are therefore small, determine the forces in the three cables in terms of stiffness value k and the weight W(= 100). Assuming the springs are not stiff, and therefore the displacements are not necessarily small, develop a set of equations for the displacement of the mass and the forces in the cables.