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November 01, 2025, 09:03:48 am

Author Topic: Circular motion question  (Read 1740 times)  Share 

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kaanonball

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Circular motion question
« on: March 28, 2009, 08:32:49 pm »
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A motor cyclist is going around a curve of radius 20.0m. the maximum sideways frictional force between the tyres and the track is 3000N.The total mass of the bike and rider is 400kg.As the motorcyclist travels around the curve she travels at a constant speed and leans her bike at an angle of 60 degrees to the horizontal.

what is the magnitude of the sideways frictional force acting on the bike?
« Last Edit: March 28, 2009, 08:47:57 pm by kaanonball »

methodsboy

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Re: Circular motion question
« Reply #1 on: March 28, 2009, 08:48:30 pm »
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is the answer approx. : 2886.75N  ?

kaanonball

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Re: Circular motion question
« Reply #2 on: March 28, 2009, 08:54:53 pm »
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is the answer approx. : 2886.75N  ?

nope, but its ok i just solved it =]

kaanonball

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Re: Circular motion question
« Reply #3 on: March 30, 2009, 10:00:09 pm »
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1) During a motorcycle grand prix one of the riders was seen to lean over 40 degrees to the horizontal around a curve of radius 15.0m. The mass of the rider plus bike is 500kg

i) calculate the magnitude of the reaction force between the tyres and the road


2) The following diagram (refer below) shows the trajectory of a baseball after it has been thrown with an initial speed of 10m/s from a height of 2.0m above the ground

i) what is the value of the angle theta that the initial velocity vector makes with the horizontal?


kamil9876

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Re: Circular motion question
« Reply #4 on: March 30, 2009, 10:15:35 pm »
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Refer to attatched daigram.

The net force has no vertical components, hence the vertical compnents must cancel out. So the vertical component of N is equal to mg.

What is the vertical component of N? you need to find the angle between N and the vertical component using geometry. It is in fact 40 degrees.

Hence Nsin(40)=500g

Solve for N.
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

kamil9876

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Re: Circular motion question
« Reply #5 on: March 30, 2009, 10:19:21 pm »
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Looking at vertical component:






Using the bad boy You get an equation which u then solve for
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

kaanonball

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Re: Circular motion question
« Reply #6 on: March 30, 2009, 10:27:00 pm »
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ahh i feel like an idiot was, using the incorrect numbers!

thanks kamil =]