Homework Statement
For any n \in \mathbb{N}, find \mathrm{gcd}(n!+1,(n+1)!+1). First come up with a conjecture, then prove it.
2. The attempt at a solution
By testing some values, it seems like \mathrm{gcd}(n!+1,(n+1)!+1) = 1
I'm trying to prove this by induction. I'll leave out the inductive...
Hm, I just tried the calculation again without any rounding and I got 2.48 m and the online system still rejected it. Thanks for taking a look at this, though!
It's from Sears & Zemansky's University Physics 13e.
Edit:
Somebody pointed out (on Facebook) that I shoudn't be using \frac{\ell}{2}...
That's embarrassing; nice catch! I tried it with this updated value and still got the wrong answer:
I_b=\frac{1}{12}m_b(\frac{\ell}{2})^2=14.3 kg \, m^2
I_1=m_1(\frac{\ell}{2})^2=107 kg \, m^2
I_2=m_2(\frac{\ell}{2})^2=109 kg \, m^2
I_t=\sum I = 230 kg \, m^2
Then, I found the...
This is my first post on here; I hope it will be worth it. I haven't been able to find an adequate solution to this elsewhere.
Homework Statement
A 5.30 kg ball is dropped from a height of 11.5 m above one end of a uniform bar that pivots at its center. The bar has mass 8.50 kg and is 9.00 m...