- #1
diazdaiz
- 10
- 2
Homework Statement
find the period with only using L (for the long of the rope), R (for the radius), M (for the mass), and G (for the gravity)
Homework Equations
V=ωR
Fcentripetal = ##\frac {MV^2} {R}##
Fgravity = MG
phytagoras
basic trigonometry
The Attempt at a Solution
i have tried to do it this way
##x=\sqrt {L^2 - R^2}##
##F_1=F_2##
##MG Cos (θ) = \frac {MV^2} {R} Cos (90-θ) ##
##\frac {MGR} {L} = \frac{MV^2 \sqrt {L^2 - R^2}} {RL}##
##\frac {MGR} {L} = \frac{Mω^2 R^2 \sqrt {L^2 - R^2}} {RL}##
##\frac {MGR} {L} = \frac{M4π^2 R^2 \sqrt {L^2 - R^2}} {RLT^2}##
##T^2 = \frac{4π^2 \sqrt {L^2 - R^2}} {G}##
##T = \sqrt {\frac{4π^2 \sqrt {L^2 - R^2}} {G}}##
am i right?
some of my friend have i different answer from me, actually, i don't really know where is the centripetal force direction
can someone explain me what is centripetal force actually with answering this question
(sorry for bad english)