Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

A cable with linear density $ p = kg/m $ is strung from the tops of two poles that are $ 200 m $ apart.(a) Use Exercise 52 to find the tension $ T $ so that cable is $ 60 m $ above the ground at its lowest point. How tall are the poles?(b) If the tension is doubled, what is the new low point of the cable? How tall are poles now?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

A. $f(100)=\frac{T}{\rho g} \cosh \left(\frac{\rho g \cdot 100}{T}\right)=60 \cosh \left(\frac{100}{60}\right) \approx 164.50 \mathrm{m}$B. $f(100)=\frac{2 T}{\rho g} \cosh \left(\frac{\rho g \cdot 100}{2 T}\right)=120 \cosh \left(\frac{100}{120}\right) \approx 164.13 \mathrm{m},$ just a slight decrease

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Harvey Mudd College

University of Nottingham

Idaho State University

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

44:57

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

03:29

A cable with linear densit…

03:57

The light cable supports a…

06:48

A $40-m$ cable is strung a…

04:06

A scaffold of mass 60 $\ma…

01:49

A uniform flexible steel c…

06:13

A piñata of mass $M=8.00 \…

03:24

A steel cable $3.00 \mathr…

05:21

A steel cable 3.00 $\mathr…

okay, Recalled. The minimum height is 60. Therefore, we have 60 equals. T over. PG plug in what we know. 60 equals cheese over two times 9.8. Therefore, t is 1176 men. Therefore, why have 100 is two times 9.8 times 100 over 1.176 co sign a tch Then we have 1176 over two times 9.8, which gives us the height of the polls is 164.5 meters. Part B. We know that the new lows tide of the cable is two times 60 Because it's doubled. This is the same thing as 120 meters. And then we know the new tension is again doubled two times 117 Sex, which is 235 to Newton's, Therefore plugging the send 2352 over two times 9.8 curse on age two times 9.8 times 100 over 2352 we get 164.13 meters is the new head of the pools

View More Answers From This Book

Find Another Textbook

Numerade Educator

00:55

What is the value of cos sin -1 (-0.845)) ?Enter your answer; rounded to…

01:05

8) Determine the area of the triangle.I/a909I6 in

03:12

6. Using tables to calculate probabilities from the normal distributionU…

01:31

Compute u*v if u and are unit vectors and the angle between them isuav (…

02:55

Find the area under the standard normal probability distribution between the…

00:24

Question 35 ptsThe correlation between X and Y is r = 0.35. If we do…

03:21

The average time spent by construction workers who work on weekends is 7.93 …

02:53

Look at the GB (Games back) column for each of the five teams in the table b…

05:32

Assume that the mean systolic blood pressure of normal adults is 120 millime…

01:26

Required informationThe amount of warpage in a type of wafer used in the…