Question: These two waves travel along the same string: y1(x, t) = (4.60 mm) sin (2x 400t) y2(x, t) = (5.60 mm) sin (2x

These two waves travel along the same string: y1(x, t) = (4.60 mm) sin (2πx – 400πt) y2(x, t) = (5.60 mm) sin (2πx – 400πt + 0.80π rad). 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 5.00 mm is also to be sent along the string in the same direction as the flrst two waves, what should be its phase angle in order to maxrmrzethe amplitude of the new resultant wave?

Step by Step Solution

★★★★★

3.40 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Using the phasor technique we think of these as two vectors the first of length 46 mm and ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

2-P-M-W-M (125).docx

120 KBs Word File

Students Have Also Explored These Related Oscillations Mechanical Waves Questions!

A wave traveling along a string is given by y(x, t) = 2 sin (4t + 10x) (cm) where x is the distance along the string in meters and y is the vertical displacement. Determine: (a) Te direction of wave...

A sinusoidal wave is sent along a string with a linear density of 2.0g/m. As it travels, the kinetic energies of the mass elements along the string vary. Figure a gives the rate dK/dt at which...

Two coherent plane waves travel at angle q 0 toward a photographic plate. Show that the distance between fringes of constructive interference on the plate is given by d = Î»...

These two waves travel along the same string: y 1 = (4.30 mm) sin(1.92 x - 470 t ) y 2 = (5.58 mm) sin(1.92 x - 470 t + 0.893 rad). What are (a) the amplitude and (b) the phase angle (relative to...

These two waves travel along the same string: y 1 = ( 3 . 7 0 mm ) sin ( 2 . 4 3 x - 3 6 0 t ) y 2 = ( 5 . 9 4 mm ) sin ( 2 . 4 3 x - 3 6 0 t + 0 . 8 4 2 rad ) What are ( a ) the amplitude and ( b )...

These two waves travel along the same string: y 1 = ( 3 . 7 0 m m ) s i n ( 2 . 4 3 x - 3 6 0 t ) y 2 = ( 5 . 9 4 m m ) s i n ( 2 . 4 3 x - 3 6 0 t + 0 . 8 4 2 r a d ) What are ( a ) the amplitude...

These two waves travel along the same string: y 1 = ( 4 . 0 9 m m ) s i n ( 1 . 6 0 x - 4 2 0 t ) y 2 = ( 5 . 7 5 m m ) s i n ( 1 . 6 0 x - 4 2 0 t + 0 . 7 4 1 r a d ) What are ( a ) the amplitude...

These two waves travel along the same string: Y 1 ( 3 . 5 3 mm ) sin ( 2 . 0 2 x - 3 0 0 t ) Y 2 = ( 5 . 1 9 mm ) sin ( 2 . 0 2 x - 3 0 0 t + 0 . 7 5 8 rad ) . What are ( a ) the amplitude and ( b )...

Two sinusoidal waves are identical except for their phase. When these two waves travel along the same string, for which phase difference will the amplitude of the resultant wave be the smallest? 5 3...

Two waves travel along a stretched string have the same frequency but one transports 4 . 4

"When I have time, I don't have money. When I have money, I don't have time," says Glenn Kelman, Redfin CEO. He's not alone. While many workers find themselves faced with 60-, 70-, or 80-hour weeks...

5. Evaluate the following integrals f x* + 6x + 7x +1 3 + 6 + 7 (a) sin? x cos x dx (c) x tan? x dx (e) 1/2 dx (b) |(a nx) dx dt (d) 2e2t + 5et +2

On January 1 , 2 0 1 3 , Point Corporation acquired an 8 0 % interest in Sharp Company for $ 1 , 9 6 3 , 0 0 0 . At that time Sharp Company had common stock of $ 1 , 4 7 0 , 0 0 0 and retained...

3. Which of the following are not included in the word count? i. Footnotes ii. Cover Sheet ii. Reference List iv. Appendices Ans: O i and ii only Oi, i and i O i, ii and iv O i, ii, i and iv

1Do examples 8.1 and 8.2 without referring to the answers. 2Calculate the position of the centT0id or centre of gravity of each of the following figures. Assume angles of 900 where applicable, unless...

6. Consider an infinite straight wire carrying current I. Find the magnetic vector potential (A) at a distance d from the wire. Also find V. A and V x . If the wire has radius a, what will be A...

Wheels of Fortune is a bicycle manufacturing company based in Florida, USA. Summarized below are selling price, variable costs and expenses per unit and fixed costs (manufacturing overhead and...

Construct the titration curve for the titration of 12.0 ml of 0.060 M HCN (k, - 4.9 x10 10 with 0.120 M KOH solution. (Hint: you need to upload your graph on the exam document to get any points. Make...

Determine the output level in Figure 3-24 for A = B = C = 1 and D = 0. Figure 3-24 D 0 A C+D 1 0 x = AB(C + D)

An 80.0-kg astronaut is working on the engines of his ship, which is drifting through space with a constant velocity. The astronaut, wishing to get a better view of the Universe, pushes against the...

A bullet of mass m is fired into a block of mass M initially at rest at the edge of a frictionless table of height h (Fig. P9.58). The bullet remains in the block, and after impact the block lands a...

A 0.500-kg sphere moving with a velocity (2.00i 3.00j + 1.00k) m/s strikes another sphere of mass 1.50 kg moving with a velocity (1.00i + 2.00j 3.00k) m/s. (a) If the velocity of the 0.500-kg sphere...

A firm is considering two mutually exclusive projects, X and Y, with the following cash flows: 0 1 2 Project X -$1,000 $100 $300 5430 $750 Project Y $1,000 $1,100 $100 545 $45 The projects are...

A stock that is currently selling for $47 has the following six-month options outstanding: Strike Price Market Price Call Option $45 $4 Call Option $50 $1 a. Which option(s) is (are) in the money? b....

Consider the following multifactor (APT) model of security returns for a particular stock. Factor Factor Beta Factor Risk Premium Inflation 1.0 9 % Industrial production 0.5 10 Oil prices 0.2 8 a. If...