- #1
Woolyabyss
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Homework Statement
So I just sat an exam today and I'm not sure how I did in this question. I think I did bad in it.
http://www.examinations.ie/archive/exampapers/2014/LC020GLP000EV.pdf
Its question 8
Homework Equations
F = mv^2/r
v=ωr
t=2(pi)r/v
The Attempt at a Solution
Q9
(a)
T=2(pi)r/v ...... 0.4pi = 2pi(2)/v
solving for v ... 10 m/s
v = rω
10 = 2ω ...... ω = 5 rad/s
a =v^2/r
a = 10^2/2 = 50 m/s^2
(i) 5 rad/s
(ii) 10 m/s
(iii) 50 m/s^2(B)
(i) r = 1sin30 = 0.5m
(ii) splitting its weight into components perpendicular and parallel to string
parallel force = 2gcos30 = √3 g N
Tension = parallel force
Tension = √3 g N
(iii) F = mv^2/r
√3 g = 2v^2/.5
solving for v = 2.06 m/s
v = ωr
2.06 = .5ω
ω = 4.12 rad/s
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