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13.Oscillations
hard
Two masses, both equal to $100\, g$, are suspended at the ends of identical light strings of length $\lambda = 1.0\, m$, attached to the same point on the ceiling (see figure). At time $t = 0$, they are simultaneously released from rest, one at angle $\theta_1 = 1^o$, the other at angle $\theta_2 = 2^o$ from the vertical. The masses will collide
A
at $\theta= 0.0^o, 0.50\, s$ later.
B
at $\theta = 5.0^o$ to the right of the vertical,$0.16\, s$ later
C
at $\theta = 0.0^o, 0.13\, s$ later.
D
at $\theta = 5.0^o$ to the right of the vertical,$0.10\, s$ later
Solution
$\mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}}}=2 \pi \sqrt{\frac{1}{10}}=2 \mathrm{sec}$
$t=\frac{T}{4}=\frac{2}{4}=0.5 \mathrm{sec}$
Standard 11
Physics
