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 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?

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

The figure below shows a countershaft (20 cm diameter) with 2 V-belt pulleys with all elementsseparated equidistant at a spacing of 100 – 0.5Z cm. A motor powers pulley C (200 cm diameter)through a belt, with the tension at the tighter side being 3 + (Z/20) kN while the loose side is 2 kN.The power is transmitted through the shaft and delivered to the belt on pulley B (100 cm diameter).For pulley B, assume that the belt tension on the loose side at B is 30 percent of the tension on thetight side. Assume the shaft runs at a constant speed and the bearings act as simple supports. Z is 50. a) Determine the unknown tensions in the belt on pulley B.b) Find the reaction forces at the bearings.c) Draw shear force and bending moment diagrams on the x-y plane.

A moment M is slowly increased as it is applied to the disk shown in Fig. tential energy of the system with respect to a reference at e = 0° as the disk is rotated to the position 0 = 45°. The spring (k = 10 lb/in.) is unstretched at e = 0°. Determine the change in po- W = 50lb 16 in. M 8 in. www A

Two steel wires support a moveable overheadcamera weighing W = 28 lb (see fgure part a) usedfor close-up viewing of field action at sporting events.At some instant, wire 1 is at an angle α = 22° to thehorizontal and wire 2 is at angle β = 40°. Wires 1and 2 have diameters of 30 and 35 mils, respectively.(Wire diameters are often expressed in mils; one milequals 0.001 in.)(a) Determine the tensile stresses σ1 and σ2 in thetwo wires.(b) If the stresses in wires 1 and 2 must be the same,what is the required diameter of wire 1? (c) To stabilize the camera for windy outdoor conditions,a third wire is added (see figure part b).Assume the three wires meet at a common pointcoordinates (0, 0, 0) above the camera at theinstant shown in figure part b. Wire 1 is attachedto a support at coordinates (75 ft, 48 ft, 70 ft).Wire 2 is supported at (270 ft, 55 ft, 80 ft).Wire 3 is supported at (210 ft, 285 ft, 75 ft).Assume that all three wires have a diameter of30 mils. Find the tensile stresses in all…

In the graph the force versus displacement of a spring is given (the spring is shown in a separate figure--see below). The x-axis range is ±2 cm. The y-axis range is tFs, where Fs = 220 N. How much work does the spring do on the block (the mass "m") when the block moves from x₁ = 7.6 cm to 4.3 cm? W J y F. X -1.5 -0.5 0 10.5 1 1.5 -F How much work does the spring do on the block (the mass "m") when the block moves from x; = 7.6 cm to -7.6 cm? W = Question Help: Read Submit Question m

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FBD: The mass of a pendulum is connected to a spring with a spring constant Kas shown in the figure. The spring stays vertical all the time with the help of a massless follower. The vertical distance between the fixed point O and the path of the massless follower is 2L. Use Newton's second law and find the equation of motion of the system in terms of 0. 762 mgbi Img 2L L bil Nig K 777777 P EMO = Jaz ->0₂ ?