Download the App!

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

One-fourth of a rope of length $l$ is hanging down over the edge of a frictionless table. The rope has a uniform, linear density (mass per unit length) $\lambda$ (Greek lambda), and the end already on the table is held by a person. How much work does the person do when she pulls on the rope to raise he rest of the rope slowly onto the table? Do the problem in two ways as follows. (a) Find the force that the person must exert to raise the rope and from this the work done. Note that this force is variable because at different times, different amounts of rope are hanging over the edge. (b) Suppose the segment of the rope initially hanging over the edge of the table has all of its mass concentrated at its center of mass. Find the work necessary to raise this to table height. You will probably find this approach simpler than that of part (a). How do the answers compare, and why is this so?

Get the answer to your homework problem.

Try Numerade free for 7 days

Input your name and email to request the answer

Like

Report

$\frac{\lambda g l^{2}}{32}$

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

Cornell University

University of Sheffield

University of Winnipeg

McMaster University

Lectures

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

03:30

In physics, impulse is the integral of a force, F, over the time interval, t, for which it acts. Given a force, F, applied for a time, t, the resulting change in momentum, p, is equal to the impulse, I. Impulse applied to a mass, m, is also equal to the change in the object's kinetic energy, T, as a result of the force acting on it.

05:50

A uniform rope of length $…

01:02

A rope with mass $m_{1}$ i…

04:28

Predict/Calculate A unifor…

02:56

A uniform beam of length $…

05:32

A rope with mass $m_{r}$ i…

07:14

A small mass $m$ hangs at …

05:14

05:42

In the system shown in Fig…

No transcript available

View More Answers From This Book

Find Another Textbook

01:39

how do mendel's experiments show that the traits may be dominant or rec…

02:12

give reason why physical property of all the isotope of an element are diff…

01:26

give example of parasitic plant how insectivorous plant obtain their nutriti…

02:30

A stone is dropped from the roof of a building . It takes 4 sec to reach the…

02:26

If we will increase the amplitude of a musical sound then what will happen <…

01:40

in what way is the word ambulance printed in front of the hospital vans? why…

02:35

Indicate : (i) polarity of each end. (ii) direction of magnetic field inside…

02:28

If the ground state energy of electron of an atom is -13.6ev.what is kinetic…

01:11

There are 20 divisions between 0v and 1v on the scale of a volt meter .The l…

02:04

if Shyam teaches a boy 10 hrs and ram teaches a boy 6hrs ?so whose work don…