A point on a string at `x=0` has an initial displacement of `(1)/(2)`. .If the wave travels to the right, then the corresponding equation is "

- A point on a string at x = 0 has an initial displacement A of 2 . If the wave travels to the right, then the corresponding equation is у A A2 X e

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Amplitude of simple harmonic motion of a point on the string that is located at x = 1.8 cm will be

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. If one end of the string is at x = 0 , positions of the nodes can be described as

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Figure 7.104( c) shows the standing wave pattern at t = 0 due to superposition of waves given by y_(1) and y_(2) in Figs.7.104(a) and (b) . In Fig. 7.104 (c ) , N is a node and A and antinode . At this instant say t = 0 , instantaneous velocity of points on the string

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Maximum value of the y - positions coordinate in the simple harmonic motion of an element of the string that is located at an antinode will be

The diagram below shows an instantaneous position of a string as a transverse progressive wave travels along it from left to right Which one of the following correctly shows the direction of the velocity of the points 1,2 and 3 on the string?

A series of pulses, each of amplitude 0.150 m , are sent on a string that is attached to a wall at one end. The pulses are reflected at the wall and travel back along the string without loss of amplitude. When two waves are present on the same string. The net displacement of a given point is the sum of the displacement of the individuals waves at the point. What is the net displacement at point on the spring where two pulses am crossing, (a) if the string is rigidly attached to the post? (b) if the end at which reflection occurs is free is slide up and down ?

A travelling wave is found to have the displacement by y= (1)/(1+x^2) at t = 0, after 3 sec the wave pulse is represented by equation y=(1)/(1+(1+x)^2) .The velocity of wave is:

A 200 Hz sinusoidal wave is travelling in the posotive x-direction along a string with a linear mass density of 3.5 xx10^(-3) kg//m and a tension of 35 N . At time t= 0 , the point x=0 , has maximum displacement in the positive y-direction. Next when this point has zero displacement, the slope of the string is pi//20 . Which of the following expression represent (s) the displacement of string as a function of x (in metre) and t (in second)