The drawing shows a thin, uniform rod, which has a length of 0.37 m and a mass o

Question

The drawing shows a thin, uniform rod, which has a length of 0.37 m and a mass of 0.153 kg. This rod is attached to the floor by a hinge at point P. A uniform magnetic field of 0.28 T is directed perpendicular to the rod, as shown. There is a current I = 4.0 A in the rod, which does not rotate clockwise or counterclockwise. Find the angle ?. (Hint: The magnetic force may be taken to act at the center of gravity.)

The drawing shows a thin, uniform rod, which has a length of 0.37 m and a mass of 0.153 kg. This rod is attached to the floor by a hinge at point P. A uniform magnetic field of 0.28 T is directed perpendicular to the rod, as shown. There is a current I = 4.0 A in the rod, which does not rotate clockwise or counterclockwise. Find the angle ?. (Hint: The magnetic force may be taken to act at the center of gravity.)

Explanation / Answer

apply magnetic force = gravitational force

mg cos theta   = iLB sin theta

where i is current

L is length

B is magnetic field

m is mass

and

g is accleration due to gravity

so

tan theta = 0.153 * 9.8/(4* 0.37 * 0.28)

tan theta = 3.618

theta = 74.55 deg

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.