The vibrations of a string length 60 cm fixed at both ends are represented by the equation –y = 4 sin (πx/15) cos (96 πt)Where x and y are in cm and t in seconds.(i) What is the maximum displacement of a point at x = 5 cm?(ii) Where are the nodes located along the string?(iii) What is the velocity of the particle at x = 7.5 cm at t = 0.25 sec.?(iv) Write down the equations of the component waves whose superposition gives the above wave.
The vibrations of a string length 60 cm fixed at both ends are represented by the equation –
y = 4 sin (πx/15) cos (96 πt)
Where x and y are in cm and t in seconds.
(i) What is the maximum displacement of a point at x = 5 cm?
(ii) Where are the nodes located along the string?
(iii) What is the velocity of the particle at x = 7.5 cm at t = 0.25 sec.?
(iv) Write down the equations of the component waves whose superposition gives the above wave.