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A taut string having tension 100 N and l...

A taut string having tension 100 N and linear mass density `0.25 kg//m` is used inside a cart to generate a wave pulse starting at the left end, as shown. What should be the velocity of the cart so that pulse remains stationary w.r.t. ground.

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Velocity of pulse `= sqrt((T)/(mu)) = 20 m//s`
Now `overset(vec)(v)_(PG) = overset(vec)(v)_(PC) + overset(vec)(v)_(CG)`
`0 = 20 I + overset(vec)(v)_(CG)`
`overset(vec)(v)_(CG) = -20i m//s`
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RESONANCE-WAVE ON STRING -Exercise- 3 PART I
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  2. A transverse wave travelling in a string produce maximum transverse ve...

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  3. A 20 cm long string, having a mass of 1.0g, is fixed at both the ends....

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  4. When two progressive waves y(1) = 4 sin (2x - 6t) and y(2) = 3 sin (2x...

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  5. A massless rod BD is suspended by two identical massless strings AB an...

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  6. A transverse sinusoidal wave moves along a string in the positive x-di...

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  7. A horizontal stretched string, fixed at two ends, is vibrating in its ...

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  8. One end of a taut string of length 3m along the x-axis is fixed at x =...

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  9. A string that is stretched between fixed supports separted by 75.0 cm ...

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  10. A steel wire of length 50sqrt(3) cm is connected to an aluminium wire ...

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  11. An aluminium wire of cross-sectionbal area 1 xx 10^(-6)m^(2) is joined...

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  12. The fundatmental frequency of a sonometer wire increases by 6 Hz if it...

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  13. A metal wire with volume density rho and young's modulus Y is stretche...

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  14. Find velocity of wave is string A &B.

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  15. A string of length 50 cm is vibrating with a fundamental frequency of ...

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  16. A string fixed at both ends is vibrating in the lowest mode of vibrat...

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  17. A guitar string is 180 cm long and has a fundamental frequency of 90 H...

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  18. A piano wire weighting 4 g and having a length of 90.0 cm emits a fund...

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  19. Length of a sonometer wire is 1.21 m. Find the length of the three seg...

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  20. In the figure shown A and B are two ends of a string of length 100m. S...

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