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10 dollary doos says you fuckwits can't solve this 1st year

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Thread replies: 18
Thread images: 1

File: rolling_wheel.jpg (7KB, 272x190px)
rolling_wheel.jpg
7KB, 272x190px
"The wheel rolls without slipping. The centre of the wheel travels at a constant speed, Vo. Calculate the magnitude of the velocity vector at a point A on the rim of the wheel as shown."
>>
frame of referance?
>>
>>8247575
whatever makes it easiest to solve
>>
>>8247576
That's dumb
0 with respect to A
>>
>>8247570
>itt anon tries to bait people into doing his homework for him.

Nice try, but it's been done before.
>>
seems to me it's also v0
otherwise the wheel would kinda disintegrate wouldnt it
>>
>>8247589
>Tries to come up with excuses as to why he can't solve it
nice try faget, keep studying arts/philosphy
>>
>>8247595
Will do, enjoy failing out of university.
>>
>>8247590
yeah it's also v0 (if that vector also points to the left)
you could also decompose it in sin and cos because the v0=tan(velocity at A) so...
>>
>>8247570
[math] \omega = \frac{v_{0}}{r} [\math] ,

where [math]r[/math] is the radius of the wheel.
>>
>>8247603
fuuck
>>
>>8247601
sorry I meant to say (velocity at A) times tan(theta)
but im not sure
>>
>>8247590
Wrong.

Op do your own hw.
>>
>>8247603
Oh nevermind, it's meant to be a cycloid. Parametrically describe it and then get your velocity magnitude.
>>
Ill give you a hint, use
Va=Rw*i^ +Rw(-sin(theta)i^ +cos(theta)j^)
>>
>>8247570
it translates with v0 but also rotates around O.
Therefore its vectorial velocity is

v_A = v0 + w*r*(sin(theta), cos(theta)) = v0 + v0*(sin(theta), cos(theta))

frame of reference is the system in which the wheel has the constant velocity V0.
>>
>>8247581
>reference frame
>accelerating
back to high school for you
>>
[math]\bar{v}=V_0( (-\ sin (\theta)-1) \hat{e}_x +\cos {\theta} \hat{e}_y )[/math]
Thread posts: 18
Thread images: 1


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