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A vavriable speed motor is rigidly atached to a beam BC. Therotor is slightly un

ID: 1816192 • Letter: A

Question

A vavriable speed motor is rigidly atached to a beam BC. Therotor is slightly unblanenced ans causes the beam to vibrate with afrequency equal to the speed of the motor. When the speed ofthe motor is less then 600rpm or more then 1200 rpm, a small objectplaced at A is obserbed to reamin in contact with the beam. Forspeeds between 600 and 1200rpm the object is observed to danve andactually to lose contact with the beam. determine the amplitutudeof the motion of A when the speed of the motor is a)600 rpm, b01200 rpm give answers in both SI and US units

Explanation / Answer

= 600 rpm = 62.832 rad/s am=xm * 2 ----------> xm = g / (62.832)^2 SI: for g = 9.81 ----> xm = 2.485E-3 m or 2.48mm US: for g=32.2 -----> xm=0.008156 ft or 0.0979 in b) w=1200 rpm = 125.664 rad/s xm = g / (125.664)^2 SI: for g = 9.81 ----> xm = 621.2E-6 m or 0.621mm US: for g=32.2 -----> xm=0.002039 ft or 0.0245 in

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