Consider two objects, A and B, both undergoing SHM, but with different frequencies, as described by the equations xsuba= 2.0msin(2.0t) and xsubB = 5.0msin(3.0t), where t is in seconds.

Question

After t = 0, find the next three times t at which both objects simultaneously pass through the origin.

Help, please? Someone?

Answer 1

2 t = n pi and 3 t = m pi

t = (n/2)pi and t = (m/3)pi
true if n = 2 and m = 3
then t = pi

true if n = 4 and m = 6
then t = 2 pi

true if n = 6 and m = 9
then t = 3 pi

see a pattern?