d) Calculate the time it takes for each disk to roll. e) What is the total kinetic energy for each disk at the end of the slope? f) At the end of the slope, a fly on the very edge of disk A walks towards the center of the disk at a speed of 1cm/s. What Coriolis acceleration is felt by the fly as it sets off?
Only answer part d, e and f. Answers to a, b and c are given.
I have two disks. I know that disk A has a mass per unit area σ given by σ = 5r2 and disk B has σ = 3r3.
Each disk has radius 10cm.
I have a slope at angle 45 degrees to the horizontal that is 2 m long.
I time with a stop watch how long it takes the disks to roll down the slope without slipping.
(Assuming that the disk’s are let go with zero velocity at the top of the slope).
a) Calculate the mass of each disk.
Answer:
Ma=7.85×10-4kg
Mb=3.76×10-5kg
b) Calculate the moment of inertia each disk.
Answer:
Ia= 5.23×10-6kgm2
Ib= 2.69×10-7kgm2
c) Calculate the acceleration down the slope for both disks.
Answer: aA=4.16 aB=4.04
d) Calculate the time it takes for each disk to roll.
e) What is the total kinetic energy for each disk at the end of the slope?
f) At the end of the slope, a fly on the very edge of disk A walks towards the center of the disk at a speed of 1cm/s. What Coriolis acceleration is felt by the fly as it sets off?
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