Problem 7: A small ball bearing is released from rest in a tank of oil at t = 0. The downward acceleration of the ball bearing is g-kv, where g is the constant acceleration due to gravity, k is a constant that depends on the viscosity of the oil, and vis the downward velocity of the object. Derive expressions for the velocity and the displacement y as function of the time t after the ball bearing's release. Ans (partial): v= g(1 - e-kt)/k

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 7: A small ball bearing is released from rest in a tank of oil at t = 0. The downward
acceleration of the ball bearing is g - kv, where g is the constant acceleration due to gravity,
k is a constant that depends on the viscosity of the oil, and is the downward velocity of the
object. Derive expressions for the velocity and the displacement y as function of the time t
after the ball bearing's release.
Ans (partial): v = g(1 - e-kt)/k
Transcribed Image Text:Problem 7: A small ball bearing is released from rest in a tank of oil at t = 0. The downward acceleration of the ball bearing is g - kv, where g is the constant acceleration due to gravity, k is a constant that depends on the viscosity of the oil, and is the downward velocity of the object. Derive expressions for the velocity and the displacement y as function of the time t after the ball bearing's release. Ans (partial): v = g(1 - e-kt)/k
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