These two waves travel along the same string: Y1 = (3.80 mm) sin(2.45tx - 340xt) Y2 = (6.00 mm) sin(2.45tx - 340nt + 0.868rad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.12 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave? (a) Number Units mm (b) Number Units rad (c) Number Units rad

The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds.  Determine:  b.  the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection!

A sinusoidal wave is given by:  y= 8 sin (2x - 5t) cm determine the  transverse velocity vy of a point on this wave in cm/s at point x =8 cm for t=3 s.

Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(21.0 mm)sin(6.70πt - 1.16πx) and y2=(39.0 mm)sin(3.70πt + 0.211πx). Note that the phase angles (6.70πt - 1.16πx) and (3.70πt + 0.211πx) are in radians, t is in seconds, and x is in meters. At t = 2.10 s, what is the net displacement (in mm) of the string at (a) x = 2.25 m and (b) x = 2.54 m? Be sure to include the algebraic sign (+ or -) with your answers.

A sinusoidal wave is given by:  y= 2.0 sin (3.0x - 2.0t) cm determine the velocity of this wave in cm/s with two decimal places please.

a° y(z,t) 1 d*y(x,t) Which of the following wave functions satisfies the wave equation? A.) y(x, t) = A cos(kæ + wt) B.) y(x, t) = A sin(kx +wt) C.) y(x, t) = A[cos(kæ) + cos(wt)] For any of the equations above that satisfy the wave equation what are the transverse velocity and acceleration of a particle at point x?

A sinusoidal wave is given by:  y= 10 sin (7x - 6t) cm,determine the  transverse velocity vy of a point on this wave in cm/s at point x =9 cm for t=10 s.