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.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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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.
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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