Question

A yo-yo has a rotational inertia of 813 g·cm2 and a mass of 95.9 g. Its...

A yo-yo has a rotational inertia of 813 g·cm2 and a mass of 95.9 g. Its axle radius is 1.91 mm, and its string is 113 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy, (e) rotational kinetic energy, and (f) angular speed?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A yo-yo has a rotational inertia of 1250 g·cm2 and a mass of 137 g. Its...
A yo-yo has a rotational inertia of 1250 g·cm2 and a mass of 137 g. Its axle radius is 1.61 mm, and its string is 91.2 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy,...
A yo-yo has a rotational inertia of 1100 g·cm2 and a mass of 118 g. Its...
A yo-yo has a rotational inertia of 1100 g·cm2 and a mass of 118 g. Its axle radius is 1.99 mm, and its string is 133 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy,...
A yo-yo has a rotational inertia of 1000 g·cm2 and a mass of 127 g. Its...
A yo-yo has a rotational inertia of 1000 g·cm2 and a mass of 127 g. Its axle radius is 2.46 mm, and its string is 123 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy,...
A yo-yo has a rotational inertia of 960 g·cm2 and a mass of 130 g. Its...
A yo-yo has a rotational inertia of 960 g·cm2 and a mass of 130 g. Its axle radius is 3.4 mm and its string is 100 cm long. The yo-yo is thrown so that its initial speed down the string is 1.1 m/s. As the yo-yo reaches the end of the string, what are the following values? (a) its total kinetic energy (b) its linear speed (c) its translational kinetic energy (d) its angular speed (e) its rotational kinetic energy...
1. Read Section 11-3: we will consider the motion of a yo-yo moving downward on its...
1. Read Section 11-3: we will consider the motion of a yo-yo moving downward on its string. (a) In terms of the yo-yo’s mass m, its moment of inertia about the center-of-mass I, and the length of the string l, what is the angular speed ? of a “sleeping” yo-yo that started from rest and just finished rolling all the way down its string? You may assume that kinetic friction between the yo-yo and the string has not yet significantly...
1. A yo-yo consists of two solid disks, each of mass M and radius 3R. The...
1. A yo-yo consists of two solid disks, each of mass M and radius 3R. The two disks are connected by a rod of radius R and negligible mass. a.) The moment of inertia of the yo-yo about its axis of symmetry is of the form ???^2 where ? is a number. What is ?? b.) Draw the extended free body diagram for the yo-yo and use it to write Newton's 2nd law in terms of the magnitude of the...
A homemade yo-yo has been fashioned from two identical disks connected by a central axle; the...
A homemade yo-yo has been fashioned from two identical disks connected by a central axle; the axle has a radius much less than that of the disks. A light, thin string is wound several times around the axle. This question is about pulling the yo-yo along the floor, rather than using the yo-yo in the usual way. The coefficient of static friction between the yo-yo and the floor is 0.850, and the coefficient of kinetic friction is 0.780. The mass...
A yo-yo is made of two solid cylindrical disks, each of mass 4.7×10−2 kg and diameter...
A yo-yo is made of two solid cylindrical disks, each of mass 4.7×10−2 kg and diameter 7.0×10−2 m, joined by a (concentric) thin solid cylindrical hub of mass 5.0×10−3 kg and diameter 1.2×10−2 m. Part A: Use conservation of energy to calculate the linear speed of the yo-yo just before it reaches the end of its 1.1-m-long string if it is released from rest. (Express your answer using two significant figures.) The answer is V = 1.1 m/s Part B:...
A yo-yo is made of two solid cylindrical disks, each of mass 4.7×10−2 kg and diameter...
A yo-yo is made of two solid cylindrical disks, each of mass 4.7×10−2 kg and diameter 7.0×10−2 m, joined by a (concentric) thin solid cylindrical hub of mass 5.0×10−3 kg and diameter 1.2×10−2 m. Part A: Use conservation of energy to calculate the linear speed of the yo-yo just before it reaches the end of its 1.1-m-long string if it is released from rest. (Express your answer using two significant figures.) The answer is V = 1.1 m/s Part B:...
A sphere of radius r0 = 23.0 cm and mass m = 1.20kg starts from rest...
A sphere of radius r0 = 23.0 cm and mass m = 1.20kg starts from rest and rolls without slipping down a 35.0 ∘ incline that is 13.0 m long. A. Calculate its translational speed when it reaches the bottom. B. Calculate its rotational speed when it reaches the bottom. C. What is the ratio of translational to rotational kinetic energy at the bottom?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT