Two masses , A and B, are attached to different springs. MassA vibrates with an

Question

Two masses , A and B, are attached to different springs. MassA vibrates with an amplitude of 8 cm at a frequency of 10Hz andmass B vibrates with an amplitude of 5cm at a frequency of 16Hz.How does the maximum speed of A compare to the maximum speed ofB? a) Mass A has the greater max speed b) Mass B has the greater max speed c) the are equal d) one needs to know the acutal masses and spring constants toanswer the question. Determine the best answer and explain your choce by invokingthe appropriate concept, principle, and/or mathematicalrelation. Two masses , A and B, are attached to different springs. MassA vibrates with an amplitude of 8 cm at a frequency of 10Hz andmass B vibrates with an amplitude of 5cm at a frequency of 16Hz.How does the maximum speed of A compare to the maximum speed ofB? a) Mass A has the greater max speed b) Mass B has the greater max speed c) the are equal d) one needs to know the acutal masses and spring constants toanswer the question. Determine the best answer and explain your choce by invokingthe appropriate concept, principle, and/or mathematicalrelation.

Explanation / Answer

Well we know that the maximum speed of an object on a springis given by vmax = -A. So, we need to apply thisequation to both masses to find the comparison of the maximumspeeds. Mass A: = 2f     = 2(10)     = 62.83 rad/s vmax = -A          =-0.08(62.83185)          = -5.0265m/s Mass B: = 2f     = 2(16)     = 100.53 rad/s vmax = -A          =-0.05(100.53096)          = -5.0265m/s So from this you can see that their maximum speeds areactually equal, so c) is the correct answer. = 2f     = 2(16)     = 100.53 rad/s vmax = -A          =-0.05(100.53096)          = -5.0265m/s So from this you can see that their maximum speeds areactually equal, so c) is the correct answer.

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