A standing wave pattern on a string is described by
y(x,t) = 0.050 sin(9πx) cos(20πt),
where all lengths are in meters, and t is in seconds.
1.If there is a node at x = 0, what is x at the second node?
2.What is x at the third node?
3.What is the period of the oscillatory motion for any (nonnode) point on the string?
4.What is the speed of the two traveling waves that interfere to produce this wave?
5.What is the amplitude of the two traveling waves that interfere to produce this wave?
6.What is the earliest nonnegative time at which all the points on the string have zero transverse velocity?
7.What is the next time at which all the points on the string have zero transverse velocity?
8.What is the third time at which all the points on the string have zero transverse velocity?