A yo-yo consists of two uniform discs, each of mass M and radius R, connected by...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A yo-yo consists of two uniform discs, each of mass M and radius R, connected by a short light axle of radius a around which a portion of a thin string is wound. One end of the string is attached to the axle and the other to a fixed point P. The yo-yo is held with its centre of mass vertically below P and then released. (a) Assuming that the unwound part of the string remains approximately vertical, use the principle of conservation of energy to find the equation of motion of the centre of mass of the yo-yo. (b) Find the tension in the string as the yoyo falls. (c) If the string has length L, what is the speed of the yoyo just before it reaches the end? Explain what happens next. What is the change in momentum (i.e. the so called impulse) due to the tension in the string at this time? A yo-yo consists of two uniform discs, each of mass M and radius R, connected by a short light axle of radius a around which a portion of a thin string is wound. One end of the string is attached to the axle and the other to a fixed point P. The yo-yo is held with its centre of mass vertically below P and then released. (a) Assuming that the unwound part of the string remains approximately vertical, use the principle of conservation of energy to find the equation of motion of the centre of mass of the yo-yo. (b) Find the tension in the string as the yoyo falls. (c) If the string has length L, what is the speed of the yoyo just before it reaches the end? Explain what happens next. What is the change in momentum (i.e. the so called impulse) due to the tension in the string at this time?
Expert Answer:
Answer rating: 100% (QA)
The image contains a physics problem involving a yoyo consisting of two uniform discs connected by a light axle with a string wound around it Lets tackle each part of the problem step by step a Equati... View the full answer
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
Posted Date:
Students also viewed these physics questions
-
The Yo-yo A yo-yo is made from two uniform disks, each with mass m and radius R, connected by a light axle of radius b. A light, thin string is wound several times around the axle and then held...
-
All answers to problem set questions must be typed so they can be reviewed by Turnitin. Please submit your completed problem set through Canvas using the instructions found on the syllabus. Problem 1...
-
Write a version of Gambler that uses two nested while loops or two nested for loops instead of a while loop inside a for loop.
-
Excalibur Corporation sells video games for personal computers. The unadjusted trial balance as of December 31, 2018, appears below. December 31 is the company's fiscal year-end. The company uses the...
-
The comparative consolidated income statements of a parent and its 75%-owned subsidiary were prepared incorrectly as at December 31 and are shown in the following table. The following items were...
-
An investigator receives a sample of a short-lived isotope that was created using a cyclotron. Explain why it is not possible to tell the age of an individual nucleus, but it is possible to determine...
-
Complete the balance sheet and sales information in the table that follows for Hoffmeister Industries using the following financial data: Debt ratio: 50% Quick ratio: 0.80 Total assets turnover: 1.5...
-
Why is it important for a risk indicator to not be costly to collect?
-
A small rock with mass 0.10 kg is released from rest at point. A, which is at the top edge of a large, hemispherical bowl with radius R=0.60 m (the figure (Figure 1)). Assume that the size of the...
-
Toys "R" Us had net sales of $82.5 million in fiscal year 2019 and $94.5 million in fiscal year 2020. The increase of $12 million is due to the sales of Org-Art and an increase in the average...
-
Justify your recommendation regarding the client's daughter having an ownership interest . Provide details supporting the recommendation taking into consideration the jargon and mechanics of the...
-
According to the logic of supply side economics, how does it benefit the average person if we allow wealthy people to accumulate as much wealth as they would like.
-
With your knowledge of Income taxation, research how is this different from transfer and business tax? Contrasting points that can be discussed Scope Impact - who will pay? Nature and rationale ...
-
Within the thematic discourse of sustainable development, what innovative methodologies can be employed to mitigate the adverse impacts of climate change on vulnerable communities in developing...
-
Nick provided the following complete information on his business asset purchases over a three year period: 2019 On September 20th, purchased a used computer system (5 year life) for $6,000,...
-
In your original post, discuss the following: What does VLSM stand for? Why is it used and what shortcomings does it help resolve on a network? Provide an example of VLSM, make sure to include IP...
-
A stock has had returns of 8 percent, 26 percent, 14 percent, 17 percent, 31 percent, and 1 percent over the last six years. What are the arithmetic and geometric average returns for the stock?
-
For the beam shown, determine (a) The magnitude P for which the maximum value of the bending moment is as small as possible, (b) The corresponding value of M max. |1500 N 2P B. 1.2 m' 1.25 m 1.25 m'...
-
The first moment of the shaded area with respect to the x axis is denoted by Qx. (a) Express Qx in terms of r and θ. (b) For what value of θ is Qx maximum, and what is the maximum value?
-
For the beam and loading shown, (a) Draw the shear and bending-moment diagrams, (b) Determine the maximum absolute values of the shear and bending moment. 2 kips/ft I kip/it Mepe CDE 33 kips 9 ft 3...
-
Consider a two-level system, with basis \(|1angle,|2angle\), and in this basis, a Hamiltonian with elements \(\left(\begin{array}{ll}1 & 1 \\ 1 & 1\end{array} ight)\). Use the first form of the...
-
Use the practical variational method for the same harmonic oscillator ground state energy, with trial wave function \(\psi_{a}(x)=e^{-a y^{2}}\).
-
Use the Ritz variational method for the harmonic oscillator, with trial wave functions \(\psi_{1}(x)=\) \(e^{-y^{2} / 2}, \psi_{2}(x)=e^{-y^{2}}, \psi_{3}(x)=e^{-2 y^{2}}\), where \(y=x \sqrt{m...
Study smarter with the SolutionInn App