5c. Express the acceleration of the rod a as a function of vy by going through these steps: i. Using Newton's 2nd Law, write a relationship between FB, m, g and a: ii. Substituting the results of part 5b, find a in terms of B, L, vy, m, R and g ONLY:
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Consider a thin rod of resistance R = 12.0 Ohm, mass m = 60.0 g and length L = 20.0 cm. It is free to slide without friction on a vertical U-shaped wire. There is a uniform magnetic field of magnitude B = 1.20 T directed into the page, and the rod is stationary at t = 0 s.
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- A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d = 12.0 cm apart and L = 45.0 cm long. The rod carries a current of I = 70.0 A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.260 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.) m/s L teaThe figure shows a bar of mass m= 0.250 kg that can slide without friction on a pair of rails separated by a distance1 = 1.20 m and located on an inclined plane that makes an angle 0 = 34.5° with the ground. The resistance of the resistor is R = 1.20 N, and a uniform magnetic field of magnitude B respect to 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails ?A current of 5.0 A is maintained in a single circular loop having a circumference of 90 cm. An external magnetic field of 2.5 T is directed so that the angle between the field and the plane of the loop is 20°. Determine the magnitude of the torque exerted on the loop by the magnetic forces acting upon it.
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- A wire in the shape of an "M" lies in the plane of the paper as shown in the figure. It carries a current of 1.76A, flowing from points A to B, to C, to D, then to E. It is placed in a uniform magnetic field of 0.81T in the same plane, directed as shown in the figure. The dimensions of the wire is given AB= DE = 11.4m; BC = CD= 6.35m; and 0-40.0°. Find the magnitude of the force acting on the entire wire. Question 9 The figure shows the orientation of a flat circular loop on xy plane consisting of 55 closely wrapped turns each carrying a current I (count-clockwise as shown). The magnetic field in the region is directed in an angle of 0=25.5° with the positive z direction and has a magnitude of 0.806T. The loop has an area of A=2.06 m², and I = 2.42A. Calculate is the magnitude of the torque exerted on the current loop (unit in Nm). X B N 0 100 TRO B E yAt a particular point on Earth, the magnitude of the Earth's magnetic field is 2.50 ✕ 10−5 T. At this point, the field through a small square loop is essentially uniform. The area of the loop is 40.0 cm2. What is the magnitude of the magnetic flux (in T · m2) through the loop when the loop is at the following orientations? (a) the magnetic field is perpendicular to the plane of the loop (b)the magnetic field and the normal to the plane of the loop are at a 23.0° angle (c) the magnetic field and the normal to the plane of the loop are at a 90.0° angleThe figure below shows a bar of mass m = 0.270 kg that can slide without friction on a pair of rails separated by a distance ℓ = 1.20 m and located on an inclined plane that makes an angle ? = 29.5° with respect to the ground. The resistance of the resistor is R = 3.30 Ω, and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails? m/s