Solution Found!

Engineering and Tech / System Dynamics 3 / Chapter 4 / Problem 4.31

System Dynamics | 3rd Edition | ISBN: 9780073398068 | Authors: William J Palm III

Change Question

For Figure P4.31, the equilibrium position corresponds to

Chapter , Problem 4.31

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

For Figure P4.31, the equilibrium position corresponds to x = 0. Neglect the masses of the pulleys and assume that the cable is inextensible, and use conservation of energy to derive the equation of motion in terms of x.

Questions & Answers

QUESTION:

For Figure P4.31, the equilibrium position corresponds to x = 0. Neglect the masses of the pulleys and assume that the cable is inextensible, and use conservation of energy to derive the equation of motion in terms of x.

ANSWER:

Problem 4.31

For Figure P4.31, the equilibrium position corresponds to x = 0. Neglect the masses of the pulleys and assume that the cable is inextensible, and use conservation of energy to derive the equation of motion in terms of x.

Step by Step Solution

Step 1 of 3

Due to the arrangement of the pulley,if mass moves by distance ,the mass moves by distance

Thus,the velocity of mass is

The velocity of mass is

The total kinetic energy is

Substituting the values of velocities,we get

Study Tools You Might Need

Chapter: 2 Problem: 1.25

Chemistry: The Central Science 12
Problem 25E Make the following conversions: (a) 72 F to C, (b) 216.7 C to F, (c) 233 C to K, (d) 315 K to F, (e) 2500 F to K, (f) 0 K to F.

Chapter: 4 Problem: 29P

Introductory Chemistry 5
Problem 29P Which statements are inconsistent with Rutherford's nuclear theory as it was originally stated? Explain your answers. (a) Helium atoms have two protons in the nucleus and two electrons outside the nucleus. (b) Most of the volume of hydrogen atoms is due to the nucleus. (c) Aluminum atoms

Chapter: 10 Problem: 70P

Introductory Chemistry 5
Determine the electron and molecular geometries of each molecule. (Hint: Determine the geometry around each of the two central atoms.) (a) \(\mathrm{C}_{2} \mathrm{H}_{2}\) (skeletal structure HCCH) (b) \(C_{2} H_{4}\) (skeletal structure \(\mathrm{H}_{2} \mathrm{CCH}_{2}\)) (c) \(C_{2} H

Chapter: 4 Problem: 43E

Conceptual Physics 12
Problem 43E A stone is shown at rest on the ground. (a) The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. (b) What is the conventional name of the vector you have drawn?

Chapter: 9 Problem: 9.39

Chemistry 11
Classify the following bonds as ionic, polar covalent, or covalent, and give your reasons: (a) the CC bond in \(\mathrm{H}_{3} \mathrm{CCH}_{3}\), (b) the KI bond in KI, (c) the NB bond in \(\mathrm{H}_{3} \mathrm{NBCl}_{3}\), (d) the CF bond in \(\mathrm{CF}_{4}\).

Chapter: 6 Problem: 6.4-3

Probability and Statistical Inference 9
A random sample X1, X2, ... , Xn of size n is taken from a Poisson distribution with a mean of , 0 << . (a) Show that the maximum likelihood estimator for is 6 = X. (b) Let X equal the number of flaws per 100 feet of a used computer tape. Assume that X has a Poisson distribution with a mean of . If

Chapter: 6 Problem: 6

Essentials of Statistics for the Behavioral Sciences 10
Draw a vertical line through a normal distribution for each of the following z-score locations. Determine whether the tail is on the right or left side of the line and find the proportion in the tail. a. z = +1.00 b. z = +0.33 c. z = -0.10 d. z = -0.67

Chapter: 2 Problem: 4

Essentials of Understanding Psychology 11
Maria saw a young boy run into the street and get hit by a car. When she got to the fallen child, she was in a state of panic. She was sweating, and her heart was racing. Her biological state resulted from the activation of what division of the nervous system? a. parasympathetic b. central c. sympath

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account