Q11 A ball-bearing is dropped in oil and travels downwards with an initial velocity of 10 ms The drag force due to the oil is dependant on velocity and is given as FD = 4v and the mass of the ball-bearing is 50 grams. - a) Draw a free-body diagram showing both forces present on the ball-bearing. The motion of the ball-bearing can be modelled as a differential equation: du + av = B β b) Find the values of a and ß (5) c) Find a general solution to the differential equation.
Q11 A ball-bearing is dropped in oil and travels downwards with an initial velocity of 10 ms The drag force due to the oil is dependant on velocity and is given as FD = 4v and the mass of the ball-bearing is 50 grams. - a) Draw a free-body diagram showing both forces present on the ball-bearing. The motion of the ball-bearing can be modelled as a differential equation: du + av = B β b) Find the values of a and ß (5) c) Find a general solution to the differential equation.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Q11
A ball-bearing is dropped in oil and travels downwards with an initial velocity of 10ms ¹.
The drag force due to the oil is dependant on velocity and is given as FD = 4v and the
mass of the ball-bearing is 50 grams.
a) Draw a free-body diagram showing both forces present on the ball-bearing.
The motion of the ball-bearing can be modelled as a differential equation:
du +
+ αυ = β
b) Find the values of a and ß (5)
c) Find a general solution to the differential equation.
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