Let the mass of the ball m₁ and the disk m₂
m₁vrsinθ = I₁ω + Ι₂ω
I₁ = m₁r² and I₂ = ½m₂r², r=3m, rsinθ = 2m.
Is this a correct approach? if not, what is? Can this be solved using energy conservation?
The solution to the question is attached herewith. I approached in the exact same way and got |c| = 2. Then I thought like this:
the angle between a and a×b is 90°, and the angle between c and a×b is 30° (given). So one of the possibilities is, the angle between a and c is 90-30=60° degree. |a|...
Mark said- "One of the functions represents the y values above the x-axis and the other represents the y values below the x-axis. It's the latter of these that you want to use in the integral." But the latter one also contains some positive values of y. Anyways, I now understand using the latter...
Thanks for your reply. I actually tried this method but unfortunately this gives me two functions which are the upper half and the lower half of the circle. I get y = 4±√(-x²+6x+51). Could you tell me where I was making a mistake?
.
Mentor note: Moved from a math technical section, so template is not present.
I was asked to calculate the area of the smaller section enclosed by the circle x²+y²-6x-8y-35=0 and the x axis. I've tried to solve it with geometry, using the x-intercepts and the centre of the circle I drew a...