Circular Motion (1 Viewer)

3XD · May 19, 2013

Hi,

Can someone please help me with this question:

A car is driven in a flat circular curve of radius r m. The car’s engine supplies a constant tangential driving force. The car experiences a friction heading towards the centre of the circle.

By writing $\ddot{\theta }$ as $\frac{d}{d\theta }\left ( \frac{1}{2}\dot{\theta }^{2} \right )$ find an expression for $\dot{\theta }^{2}$ in terms of $\theta$ .

I know that the acceleration of the object tangentially is $a_{T}=r\ddot{\theta }=r\frac{d}{d\theta }\left ( \frac{1}{2}\dot{\theta }^{2} \right )$ but how will this help me answer the question?

Thank you!

braintic · May 19, 2013

The question has to state the nature of the friction force. Typically it is linearly dependent on the normal force, but that has to be stated.

3XD · May 20, 2013

braintic said:
The question has to state the nature of the friction force. Typically it is linearly dependent on the normal force, but that has to be stated.

I added the missing information, is that what you are looking for?
I did this: $\dot{\theta }^{2}=2\frac{F_{T}}{rm}\theta +C$
Is this correct? How do I find C?

Circular Motion (1 Viewer)

3XD

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braintic

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3XD

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