Question: The string in a yo-yo is wound around an axle of radius 0.500 cm. The yo-yo has both rotational and translational motion, like a rolling

The string in a yo-yo is wound around an axle of radius 0.500 cm. The yo-yo has both rotational and translational motion, like a rolling object, and has mass 0.200 kg and outer radius 2.00 cm. Starting from rest, it rotates and falls a distance of 1.00 m (the length of the string). Assume for simplicity that the yo-yo is a uniform circular disk and that the string is thin compared to the radius of the axle.
(a) What is the speed of the yo-yo when it reaches the distance of 1.00 m?
(b) How long does it take to fall? [The translational and rotational kinetic energies are related, but the yo-yo is not rolling on its outer radius.]

Step by Step Solution

★★★★★

3.35 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Let r 1 000500 m and r 2 00200 m The tangential speed of the ax... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

956-P-M-A-M (1070).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Droog Co. is a retailer dealing in a single product. Beginning inventory at January 1 of this year is zero, operating expenses for this same year are $5,000, and there are 2,000 common shares...

A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar (Fig. P10.77). Show that (a) The tension in...

A top is a toy that is made to spin on its pointed end by pulling on a string wrapped around the body of the top. The string has a length of 64 cm and is wound around the top at a spot where its...

A 15.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.44 kg m2, and its radius is 0.160 m. When the reel is turning, friction at the axle...

1. [-/2 Points] DETAILS SERCP11 8.4.P.044. A bicycle wheel has a diameter of 63.0 cm and a mass of 1.73 kg. Assume that the wheel is a n the outside radius. The bicycle is placed on a stationary...

Any part of the question complete would be helpful. I will give an amazing review, thanks!! Initials: Problem 1 - 25 points For gange - ABEDIaYHT Isband Vineet ham string central A yo-yo is made of...

Unit 5.3 Rotational Dynamics A skater on ice begins to spin in the camel position, as shown in the figure to the left below. As she continues to spin, she straightens up, pulls her arms to her chest,...

(revised 5/17/23 D REQUIRED SUPPLIES AND ANALYSIS TOOLS 0 Meter stick, a clamp with attached hanger to hang meter stick, washers and nuts to serve as weights (you may also use other small objects),...

1. The Moment of Inertia. The moment of inertia I for rotational motion is analogous to the mass m in translational motion. It is a measure of the resistance of a solid to perform rotational motion....

1. The moment of inertia of a long rod spun around an axis through one end perpendicular to its length is -2. Why is this moment of inertia greater than it would be if you spun a point mass M at the...

Refer to Sections 203 and 206 of SARBOX. How would these sections of the law have impacted the Waste Management audit? Do you believe that these sections are needed? Why or why not?

Find the arithmetic mean of each list of numbers in Problems 17- 20. 18. 7,9,9,2, and4 20. 100,62,95,91,82,87,70,75,87, and 82

Cute Camel Woodcraft Company's income statement reports data for its 1 st year of operation. The Firm's CEO would like sales to increase by 25% next year. Cute Camel is able to achieve this level of...

EVA Industries Inc. ' s chairman and CEO, Simon Cowell, has long been the organization's dominant force. While Mr . Cowell has been instrumental in the company generating aboveaverage returns, the...

List two common deductions which are allowed for regular tax purposes but are not deductible for AMT purposes....

Deitz Corporation is projecting a cash balance of $30,000 in its December 31, 2016, balance sheet. Deitzs schedule of expected collections from customers for the first quarter of 2017 shows total...

Mary and John are married and have AGI of $100,000 and two young children. John doesnt work, and they pay $6,000 a year to day care providers so he can shop, clean, and read a little bit in peace....

On the Brandex Inc. SFP as the year-end 2013 the share capital was $1,100,000, retained earnings were $3,000,000, accumulated other comprehensive income was $400,000, and total equity was $4,500,000....

Diane is a single taxpayer who qualifies for the earned income credit. Diane has two qualifying children who are 3 and 5 years old. During 2013, Diane's wages are $17,100 and she receives dividend...

Kentucky Derby 2007. The fastest horse in Kentucky Derby history was Secretariat in 1973. The scatterplot shows speed (in miles per hour) of the winning horses each year. What do you see? In most...

In Figure particle 1 of charge + 4e is above a floor by distance d1 = 2.00 mm and particle 2 of charge + 6e is on the floor, at distance d2 = 6.00 mm horizontally from particle 1. What is the -r...

A particle of charge Q is fixed at the origin of an xy coordinate system. At t = 0 a particle (m = 0.800g q = 4.00?C) is located on the x axis at x = 20.0 cm, moving with a speed of 50.0 m/s in the...

A charged non-conducting rod, with a length of 2.00 m and a cross-section al area of 4.00 cm2, lies along the positive side of an x axis with one end at the origin. The volume charge density p is...

Your bank is the trustee of a settlement, the deed of which does not contain any specific investment powers. Describe the powers available to you to invest in: Ordinary shares Land, both as an...

A 3D printer exclusively for producing dental molar crowns, complete with all the contouring and evaluation apparatus for matching the removed molar, is purchased for $48,000. It will be depreciated...

pla Nancy Jackson is interested in buying the stock of Blossom, Inc., which is increasing its dividends at a constant rate of 8.5 percent. Last year the firm paid a dividend of $2.65. The required...