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The Equation for the vibration of a stri...

The Equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by `y = 2 sin (0.6x) cos (500 pi t)` (x, y are in cm t is in sec). The length of the string is

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5.7 cm
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The equation for the vibration of a string fixed at both ends, vibrating in its its third harmonic is given by y=0.4"sin" (pix)/(10) cos 600 pi t where x and y are in cm (1) What is the frequency of vibration ? (2) What are the positions of nodes? (3) What is the length of string? (4) What is the wavelength and speed of transverse waves that can interfer to give this vibration ?

The transverse displacement of a string ( clamped at its both ends ) is givenby y ( x,t) = 0.06 sin((2pi)/(3) x) cos ( 120 pi t ) where x and y are in m and t in s. The length of the string is 1.5m and its mass is 3.0 xx 10^(-2) kg Answer the following : (a) Does the function represent a travelling wave or a stationary wave ? (b) Interpret the wave as a superposition of two waves travelling in opposite directios. What is the wavelength, frequency,and speed of each wave ? (c ) Determine the tension in the string.

The vibrations of a string fixed at both ends are represented by y = 16 sin 15 pi x cos 96 pi t where x and y are in cm and t in seconds. Then the phase difference between the points at x = 13 cm and X = 16 cm in radian is

The vibrations of a string of length 60 cm fixed at both ends are represented by the equation. y=4 sin [(pi x)/(15)] cos(96 pi t) where x and y are in cm and t in sec. (a) What is the maximum displacement al r = 5 cm? (b) What are the nodes located along the string ? (c) What is the velocity of the particle at x=7.5 and t=0.25 s ? (d) Write down the equations of component waves whose superposition gives the above wave.

The equation of a standing wave produced on a string fixed at both ends is y=0.4 "sin"(pix)/(10) cos 600 pi t where y' is measured in om 10 What could be the smallest length of string?

AAKASH SERIES-WAVE MOTION AND SOUND-PROBLEMS (LEVEL - I)
  1. Two progressive transverse waves given by y(1) =0.007 sinpi ( 12x- 500...

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  2. A wave of length 2m is superposed on its reflected wave to form a stat...

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  3. The Equation for the vibration of a string fixed at both ends vibratin...

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  4. Two wires are kept tight between the same pair of supports. The tensio...

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  5. A one metre long streched string having a mass of 40 g is attached to ...

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  6. A streched wire resonates with a given tuning fork forming standing wa...

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  7. A guitar string is 90 cm long and has a fundamental frequency of 124 H...

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  8. The frequency of a sonometer wire is 100Hz. When the weights producing...

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  9. When the tension in a string is increased by 44%. the frequency increa...

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  10. A steel wire of length im, mass 0.1kg and uniform cross sectional area...

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  11. A metallic wire with tension T and at temperature 30 ^0 C vibrates wit...

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  12. Three resonant frequencies of a string are 90, 150 and 210 Hz. Find ...

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  13. Three resonant frequencies of a string are 90, 150 and 210 Hz. Which...

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  14. Three resonant frequencies of a string are 90, 150 and 210 Hz. Which...

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  15. Three resonant frequencies of a string are 90, 150 and 210 Hz. If th...

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  16. The equation of a travelling sound wave is y = 6.0 sin (600 t - 1.8 x)...

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  17. The equation of a travelling sound wave is y = 6.0 sin (600 t - 1.8 x)...

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  18. The height of a cloud above the earth is 100 m. If an observer hears t...

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  19. In a liquid with density 900 kg//m^3, longitudinal waves with frequen...

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  20. The speed of sound as measured by a student in the laboratory on a win...

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