Your team is prototyping a simple braking system for your model car. The 3.4 kg wheel with a radius of r = rad 0.15 m is rotating at w 18. A servo motor can apply a variable force F, which in its first two seconds of operation is equal to F10t N and afterwards is equivalent to a constant force of F = 20 N . If the coefficient of kinetic friction between the braking arm and the wheel is 0.2, determine the time needed for the wheel to come to a full stop. The point of contact P between the wheel and the arm is a distance r = -0.2 + 0.26 m from point A. The force of the servo motor is applied at exactly half of the horizontal distance to A from the point of contact. Assume the wheel can be treated as a disk and that the braking arm is massless.

Your team is prototyping a simple braking system for your model car. The 3.4 kg wheel with a radius of r = rad 0.15 m is rotating at w 18. A servo motor can apply a variable force F, which in its first two seconds of operation is equal to F10t N and afterwards is equivalent to a constant force of F = 20 N . If the coefficient of kinetic friction between the braking arm and the wheel is 0.2, determine the time needed for the wheel to come to a full stop. The point of contact P between the wheel and the arm is a distance r = -0.2 + 0.26 m from point A. The force of the servo motor is applied at exactly half of the horizontal distance to A from the point of contact. Assume the wheel can be treated as a disk and that the braking arm is massless.

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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Concept explainers

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

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A
UBC Engineering
Your team is prototyping a simple braking system for your model car. The 3.4 kg wheel with a radius of r =
rad
0.15 m is rotating at w = 18 - .A servo motor can apply a variable force F, which in its first two
seconds of operation is equal to F = 10t N and afterwards is equivalent to a constant force of F = 20 N
. If the coefficient of kinetic friction between the braking arm and the wheel is μ= 0.2, determine the
time needed for the wheel to come to a full stop. The point of contact P between the wheel and the arm is
a distance r = -0.2 + 0.26 ĵ m from point A. The force of the servo motor is applied at exactly half
of the horizontal distance to A from the point of contact. Assume the wheel can be treated as a disk and
that the braking arm is massless.
t =

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Step 1: Given data and objective

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Step 2: Determining the Normal Force (N )

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Step 3: Calculating the Friction Force (f )

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Step 4: Moment of Inertia (I) of the Disk

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Step 5: Determination of Angular Deceleration (α) phase 1

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Step 6: Calculation of Angular Velocity after Two Seconds

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Step 7: Determination of Angular Deceleration (α) phase 2

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Step 8: Time to Stop

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