A current carrying loop is formed of four small metal rods, with lengths as shown, cross sectional radiusr = 4.82 mm, and uniform density p = 7540 kg/m³. The loop is oriented so that the normal vector of the loop, Ñ, points vertically (opposite the direction of gravity) and the loop is able to pivot freely about the axle. A 60.0 g weight is attached to one side as shown. The magnetic field is directed to the right and has strength 64.1 mT. %3D (a) What is the necessary current flowing through the loop in order for it to remain balanced at rest? Give the magnitude and direction of this current. (b) If the current and field strength remained the same but the weight was suddenly cut off, what would be the instantaneous angular acceleration of the loop at the moment that the weight is cut. (c) If following the cutting of the weight the loop was allowed to rotate through an angle of 75.0°, and the normal vector of the loop was now 15.0° above the horizontal, then what 5.0 cm 10.0 cm B would be the tangential translational acceleration of a segment of the rod 60 g

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A current carrying loop is formed of four small metal rods, with lengths as shown, cross
sectional radius r = 4.82 mm, and uniform density p = 7540 kg/m³. The loop is oriented so that
the normal vector of the loop, Ñ, points vertically (opposite the direction of gravity) and the loop
is able to pivot freely about the axle. A 60.0 g weight is attached to one side as shown. The
magnetic field is directed to the right and has strength 64.1 mT.
(a) What is the necessary current flowing through the loop in order for it to remain balanced
at rest? Give the magnitude and direction of this current.
(b) If the current and field strength remained the same but the weight was suddenly cut off,
what would be the instantaneous
angular acceleration of the loop at the
moment that the weight is cut.
(c) If following the cutting of the weight
the loop was allowed to rotate
through an angle of 75.0°, and the
normal vector of the loop was now
15.0° above the horizontal, then what
would be the tangential translational
acceleration of a segment of the rod
that is 1.0 cm from the axel?
5.0 cm
10.0 cm
B
60 g
Axle
Transcribed Image Text:A current carrying loop is formed of four small metal rods, with lengths as shown, cross sectional radius r = 4.82 mm, and uniform density p = 7540 kg/m³. The loop is oriented so that the normal vector of the loop, Ñ, points vertically (opposite the direction of gravity) and the loop is able to pivot freely about the axle. A 60.0 g weight is attached to one side as shown. The magnetic field is directed to the right and has strength 64.1 mT. (a) What is the necessary current flowing through the loop in order for it to remain balanced at rest? Give the magnitude and direction of this current. (b) If the current and field strength remained the same but the weight was suddenly cut off, what would be the instantaneous angular acceleration of the loop at the moment that the weight is cut. (c) If following the cutting of the weight the loop was allowed to rotate through an angle of 75.0°, and the normal vector of the loop was now 15.0° above the horizontal, then what would be the tangential translational acceleration of a segment of the rod that is 1.0 cm from the axel? 5.0 cm 10.0 cm B 60 g Axle
1.
Answer part (b) of the problem. Show your work.
2.
If the axel is moved from the middle to the right side of the loop so that the axel
runs through the segment that has the attached weight, then what current is necessary in
order to prevent the loop from rotating? The magnetic field is unchanged.
3.
Consider part (c) of the problem. Is the tangential translational acceleration
of a point on the loop constant or nonconstant? Justify your answer.
Transcribed Image Text:1. Answer part (b) of the problem. Show your work. 2. If the axel is moved from the middle to the right side of the loop so that the axel runs through the segment that has the attached weight, then what current is necessary in order to prevent the loop from rotating? The magnetic field is unchanged. 3. Consider part (c) of the problem. Is the tangential translational acceleration of a point on the loop constant or nonconstant? Justify your answer.
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