Mechanics Question (1 Viewer)

[namburger]

http://i237.photobucket.com/albums/ff3/Namburger/Mechanics.jpg

i) I get v^2 = rg tan @ =[
ii) No idea

 

[lolokay]

r is the radius of the hemisphere, not the radius from the centre of the circle the particle is travelling in - the radius of the circle will therefore be r sin@ (assuming you made the mistake I did)
so tan@ = v²/rsin@g
v² = rg sin@tan@

 

[shaon0]

r is the radius of the hemisphere, not the radius from the centre of the circle the particle is travelling in - the radius of the circle will therefore be r sin@ (assuming you made the mistake I did)
so tan@ = v²/rsin@g
v² = rg sin@tan@

lolokay why don't you do accelerated 4unit or something?

 

[namburger]

yeh makes sense (y)

 

[lolokay]

ii)
the total force *sin@ will be the acceleration (v²/rsin@) *mass
N = mv²/sin²@
but it is also the vector sum of the accelerating force and the gravitational force (mg)
N² = m²v⁴/r²sin² + m²g²
subbing in for N gives
N² = mv²/r *N + m²g²
solving the quadratic, and taking the positive value, gives the required answer

lolokay why don't you do accelerated 4unit or something?

didn't have it at the school I was at
+ lol you have 666 posts

 

[shaon0]

ii)
the total force *sin@ will be the acceleration (v²/rsin@) *mass
N = mv²/sin²@
but it is also the vector sum of the accelerating force and the gravitational force (mg)
N² = m²v⁴/r²sin² + m²g²
subbing in for N gives
N² = mv²/r *N + m²g²
solving the quadratic, and taking the positive value, gives the required answer


didn't have it at the school I was at
+ lol you have 666 posts

I realised that so i posted again...what school do you go to?