# Question Solved1 AnswerIn the figure below, the pipe carrying feed-water to a boiler in a thermal power plant "the pipe can be modeled as spring-mass system" has been found to vibrate violently at a pump speed of 427 rpm. If the operating speed range of the pump is between 360 rpm to 900 rpm. In order to reduce the vibration, an absorber consisting of a spring of stiffness k, and a trial mass of 10 kg is attached to the pipe and tuned to the 640.5 rpm speed, 1.c. tuning ratio of 1.5 This arrangement is found to give natural frequencies of the system at 342 rpm and 800 rpm Design the absorber to be attached to the pipe, le calculating its mass m and stiffness k, to satisfy the above-mentioned requirement (to keep the natural frequencies of the system outside the operating range) Pump hp Boiler 11 pipe

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Transcribed Image Text: In the figure below, the pipe carrying feed-water to a boiler in a thermal power plant "the pipe can be modeled as spring-mass system" has been found to vibrate violently at a pump speed of 427 rpm. If the operating speed range of the pump is between 360 rpm to 900 rpm. In order to reduce the vibration, an absorber consisting of a spring of stiffness k, and a trial mass of 10 kg is attached to the pipe and tuned to the 640.5 rpm speed, 1.c. tuning ratio of 1.5 This arrangement is found to give natural frequencies of the system at 342 rpm and 800 rpm Design the absorber to be attached to the pipe, le calculating its mass m and stiffness k, to satisfy the above-mentioned requirement (to keep the natural frequencies of the system outside the operating range) Pump hp Boiler 11 pipe
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Transcribed Image Text: In the figure below, the pipe carrying feed-water to a boiler in a thermal power plant "the pipe can be modeled as spring-mass system" has been found to vibrate violently at a pump speed of 427 rpm. If the operating speed range of the pump is between 360 rpm to 900 rpm. In order to reduce the vibration, an absorber consisting of a spring of stiffness k, and a trial mass of 10 kg is attached to the pipe and tuned to the 640.5 rpm speed, 1.c. tuning ratio of 1.5 This arrangement is found to give natural frequencies of the system at 342 rpm and 800 rpm Design the absorber to be attached to the pipe, le calculating its mass m and stiffness k, to satisfy the above-mentioned requirement (to keep the natural frequencies of the system outside the operating range) Pump hp Boiler 11 pipe