In the above problem, we need to find mass of the second child, so that the Center of Mass remains at the origin( pivot).
CM= m1r1+m2r2/m1+m2
0= 20*-2+16*r2/20+16
r2= 40/16
r2= +2.5 m
Answer:
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Answer:
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Answer
given,
displacement wave function
s(x, t) = 2.00 cos (15.7 x + 858 t)
now, comparing the wave equation with general equation.
s(x, t) = A cos (k x + ω t)
where A is the amplitude of the wave in micrometer.
now,
a) Amplitude of the wave
A = 2 x 10⁻⁶ μ m
b) 
k = 15.7 m

λ = 0.4 m
c) wave speed


v = 54.65 m/s
d) For instantaneous displacement
Assuming the position and time is given as
x = 0.05 m and t = 3 m s
now,
s(x, t) = 2.00 cos (15.7 x 0.05 + 858 x 3 x 10⁻³ )
s(x, t) = 2.00 cos (3.359)
s(x,t) = -1.95 μ m