TL-2 A single rectangular uniform wire loop swings from a hinge on the side that lies along the x axis shown in the figure below. There is a current I around the loop as shown in the figure. In the region of the loop there is a uniform magnetic field B-0.175T that points straight up. The interaction of the loop's dipole moment with the magnetic field causes the loop to be held at rest in the position shown in the figure 25.0° from the vertical. The lengths and masses of the sides of the loop are: L₁-L,-0.900m, masses m, m, 0.0450kg, L-L-0.300m and masses m₂ m -0.0150kg a) Where is the center of mass of the loop? Draw the free body diagram for the loop on the figure below. 25.00 y B-0.175T 0.900m 1 0.300m

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TL-2 A single rectangular uniform wire loop swings from a hinge on the side that lies along the x axis shown
in the figure below. There is a current I around the loop as shown in the figure. In the region of the loop
there is a uniform magnetic field B-0.175T that points straight up. The interaction of the loop's dipole
moment with the magnetic field causes the loop to be held at rest in the position shown in the figure
25.0° from the vertical. The lengths and masses of the sides of the loop are: L₁-Ly 0.900m, masses
m₁ m, 0.0450kg, L-L-0.300m and masses m₂ m 0.0150kg
a) Where is the center of mass of the loop?
Draw the free body diagram for the loop
on the figure below.
25.0⁰
y
B-0.175T
Z
0.900m 1
0.300m
Transcribed Image Text:TL-2 A single rectangular uniform wire loop swings from a hinge on the side that lies along the x axis shown in the figure below. There is a current I around the loop as shown in the figure. In the region of the loop there is a uniform magnetic field B-0.175T that points straight up. The interaction of the loop's dipole moment with the magnetic field causes the loop to be held at rest in the position shown in the figure 25.0° from the vertical. The lengths and masses of the sides of the loop are: L₁-Ly 0.900m, masses m₁ m, 0.0450kg, L-L-0.300m and masses m₂ m 0.0150kg a) Where is the center of mass of the loop? Draw the free body diagram for the loop on the figure below. 25.0⁰ y B-0.175T Z 0.900m 1 0.300m
TL-2 (Cont.)
b) Find the magnitude of the torque about the origin on the current loop due to the total weight of the
loop (which acts thru the center of mass of the loop).
c) Describe symbolically the magnetic torque on the loop using 7 = μxB.
d) Apply Newton's second law of rotation Thet-la to find the current needed to hold the loop at rest in
the position shown.
Transcribed Image Text:TL-2 (Cont.) b) Find the magnitude of the torque about the origin on the current loop due to the total weight of the loop (which acts thru the center of mass of the loop). c) Describe symbolically the magnetic torque on the loop using 7 = μxB. d) Apply Newton's second law of rotation Thet-la to find the current needed to hold the loop at rest in the position shown.
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