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# It has recently become possible to weigh DNA molecules by

## Problem 15.89 Chapter 15

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Problem 15.89

It has recently become possible to weigh DNA molecules by measuring the influence of their mass on a nano-oscillator. FIGURE P15.54 shows a thin rectangular cantilever etched out of silicon (density 2300 kg/m3) with a small gold dot (not visible) at the end. If pulled down and released, the end of the cantilever vibrates with SHM, moving up and down like a diving board after a jump. When bathed with DNA molecules whose ends have been modified to bind with gold, one or more molecules may attach to the gold dot. The addition of their mass causes a very slightbut measurabledecrease in the oscillation frequency.A vibrating cantilever of mass M can be modeled as a block of mass 1 3 M attached to a spring. (The factor of 1 3 arises from the moment of inertia of a bar pivoted at one end.) Neither the mass nor the spring constant can be determined very accurately perhaps to only two significant figuresbut the oscillation frequency can be measured with very high precision simply by counting the oscillations. In one experiment, the cantilever was initially vibrating at exactly 12 MHz. Attachment of a DNA molecule caused the frequency to decrease by 50 Hz. What was the mass of the DNA?

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4/20/2016 Ch 11 HW Ch 11 HW Due: 11:59pm on Monday, April 4, 2016 To understand how points are awarded, read the Grading Policy for this assignment. ± All Work and No Play Learning Goal: To be able to calculate work done by a constant force directed at different angles relative to displacement If an object...

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##### ISBN: 9780134081496

This textbook survival guide was created for the textbook: Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36), edition: 4. The answer to “It has recently become possible to weigh DNA molecules by measuring the influence of their mass on a nano-oscillator. FIGURE P15.54 shows a thin rectangular cantilever etched out of silicon (density 2300 kg/m3) with a small gold dot (not visible) at the end. If pulled down and released, the end of the cantilever vibrates with SHM, moving up and down like a diving board after a jump. When bathed with DNA molecules whose ends have been modified to bind with gold, one or more molecules may attach to the gold dot. The addition of their mass causes a very slightbut measurabledecrease in the oscillation frequency.A vibrating cantilever of mass M can be modeled as a block of mass 1 3 M attached to a spring. (The factor of 1 3 arises from the moment of inertia of a bar pivoted at one end.) Neither the mass nor the spring constant can be determined very accurately perhaps to only two significant figuresbut the oscillation frequency can be measured with very high precision simply by counting the oscillations. In one experiment, the cantilever was initially vibrating at exactly 12 MHz. Attachment of a DNA molecule caused the frequency to decrease by 50 Hz. What was the mass of the DNA?” is broken down into a number of easy to follow steps, and 208 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 42 chapters, and 4463 solutions. The full step-by-step solution to problem: 15.89 from chapter: 15 was answered by Patricia, our top Physics solution expert on 12/28/17, 08:06PM. Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) was written by Patricia and is associated to the ISBN: 9780134081496. Since the solution to 15.89 from 15 chapter was answered, more than 235 students have viewed the full step-by-step answer.

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