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An object of mass M is used to provide tension in a 4.5-m-long string that has...

An object of mass M is used to provide tension in a 4.5-m-long string that has a mass of 0.272 kg, as shown in the figure below. A standing wave that has a wavelength equal to 1.5 m is produced by a source that vibrates at 30 Hz. 1) Calculate the value of M. (Express your answer to two significant figures.)

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Answer #1

Velocity V = √(MgL/m)

Also V = wavelength×frequency = 1.5×30 = 45m/s

=) 45 = √(MgL/m)

=) M = 45^2 × m/gL = 2025×0.272×/9.8×4.5 = 12.49kg

=) M = 12.5kg

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