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Problem 62 Hard Difficulty

A $1.00-\mathrm{g}$ cork ball having a positive charge of 2.00 $\mathrm{mC}$ is suspended vertically on a $0.500-\mathrm{m}$ -long light string in the presence of a uniform downward-directed electric field of magnitude $E=1.00 \times 10^{5} \mathrm{N} / \mathrm{C}$ as in Figure $\mathrm{P} 15.62$
If the ball is displaced slightly from the vertical, it oscillates like a simple pendulum. (a) Determine the period of the ball's oscillation. (b) Should gravity be included in the calculation for part (a)? Explain.

Answer

Yes, the force of gravity is will show a significant change in time period.

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Video Transcript

Hello, Historians. Let's start our discussion. Supposed a good is hanging by a string and the mass off the court case. One gram, that is jiggle point deal Judo one G and the charge on the court is two medical. Um, that is to instruct and rest by minus three cooler. And the land of the string ist joe 0.5 meter. Okay. The electric field is applied in the downward direction on the magnitude off electrics really is one in 10 dress part five, new Denver. Now, if I slightly displaced this cook, okay, that it starts off salute. Oscillating like this. No, we have to find out the time period off this course elation. Basically, in general, the time period is Dubai under root Alba. Gee, Okay, so in this case, Vitor Gravitational force MGI that is forced to toe gravity and another force that it electrostatic force by the presence off this electric feel will also act on this court. So instead, off g, we will use G effective and the value off g effective is al by G plus Q E by i m. Now, by putting old values doing to treat more 14 and Joe 0.5 meter, 9.8 meters per second square plus two into dangerous by minus T Coolum in tow. One in into one. Inter tennis par five New turnpike Willem Electric Field Ah, Born Jiro Born General Jiro one Gigi must after soul really is I will get a value off. Jiro Point Geo Geo nine General, nine seconds. This is the time, Peter, off the oscillation off the cork under this condition now in the formula is it? It is as that gravity is used or not. So basically, if we have the formula TZ goes toe Dubai Alba Gee, no hair g effective. So it will be cheap. Les que bebe? I am Yes, g definitely concluding this and used in the process of calculation. Well, this is all for me for this period. I hope you will like the video. Thank you.

Other Schools
Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Farnaz M.

Other Schools

Jared E.

University of Winnipeg

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp