[a] For Example 10.13 (Calculating the Torque in a Kick) in Section 10.5, replace "2000-N force" with "X-N force" where X is the number you computed on the first page of this study guide. Then solve part (a) of the example. There is no need to solve part (b). X = 883

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
The person whose leg is shown in Figure 10.22 kicks his leg by exerting a 2000-N force with his upper leg
muscle. The effective perpendicular lever arm is 2.20 cm. Given the moment of inertia of the lower leg is
1.25 kg - m2, (a) find the angular acceleration of the leg. (b) Neglecting the gravitational force, what is the
rotational kinetic energy of the leg after it has rotated through 57.3° (1.00 rad)?
F
r. = 2.20 cm
Femur
+\= 1.25 kg • m2
Figure 10.22 The muscle in the upper leg
gives the lower leg an angular acceleration
and imparts rotational kinetic energy to it by
exerting a torque about the knee. Fis a vector
that is perpendicular to r. This example
examines the situation.
Solution to (a)
From the rotational analog to Newton's second law, the angular acceleration a is
net T
a =
10.101
Because the force and the perpendicular lever arm are given and the leg is vertical so that its weight does
not create a torque, the net torque is thus
net T
(0.0220 m)(2000 N)
= 44.0 N · m.
10.102
Substituting this value for the torque and the given value for the moment of inertia into the expression for
a gives
44.0 N · m
1.25 kg · m2
= 35.2 rad/s².
a =
10.103
Transcribed Image Text:The person whose leg is shown in Figure 10.22 kicks his leg by exerting a 2000-N force with his upper leg muscle. The effective perpendicular lever arm is 2.20 cm. Given the moment of inertia of the lower leg is 1.25 kg - m2, (a) find the angular acceleration of the leg. (b) Neglecting the gravitational force, what is the rotational kinetic energy of the leg after it has rotated through 57.3° (1.00 rad)? F r. = 2.20 cm Femur +\= 1.25 kg • m2 Figure 10.22 The muscle in the upper leg gives the lower leg an angular acceleration and imparts rotational kinetic energy to it by exerting a torque about the knee. Fis a vector that is perpendicular to r. This example examines the situation. Solution to (a) From the rotational analog to Newton's second law, the angular acceleration a is net T a = 10.101 Because the force and the perpendicular lever arm are given and the leg is vertical so that its weight does not create a torque, the net torque is thus net T (0.0220 m)(2000 N) = 44.0 N · m. 10.102 Substituting this value for the torque and the given value for the moment of inertia into the expression for a gives 44.0 N · m 1.25 kg · m2 = 35.2 rad/s². a = 10.103
3.3. In the OpenStax College Physics textbook, read the Chapter 10 sections 10.1 (Angular
Acceleration), 10.3 (Dynamics of Rotational Motion: Rotational Inertia) and 10.5 (Angular
Momentum and Its Conservation). Then write answers to [a] and [b] below.
For all your answers, please write down your calculations and explain your reasoning. Draw
sketches whenever helpful, and please use your units correctly. If you are using any online
resources (such as unit conversion tools) give their URL and webpage title in your answers.
[a] For Example 10.13 (Calculating the Torque in a Kick) in Section 10.5, replace “2000-N force"
with "X-N force" where X is the number you computed on the first page of this study guide.
Then solve part (a) of the example. There is no need to solve part (b).
X = 883
%3D
Transcribed Image Text:3.3. In the OpenStax College Physics textbook, read the Chapter 10 sections 10.1 (Angular Acceleration), 10.3 (Dynamics of Rotational Motion: Rotational Inertia) and 10.5 (Angular Momentum and Its Conservation). Then write answers to [a] and [b] below. For all your answers, please write down your calculations and explain your reasoning. Draw sketches whenever helpful, and please use your units correctly. If you are using any online resources (such as unit conversion tools) give their URL and webpage title in your answers. [a] For Example 10.13 (Calculating the Torque in a Kick) in Section 10.5, replace “2000-N force" with "X-N force" where X is the number you computed on the first page of this study guide. Then solve part (a) of the example. There is no need to solve part (b). X = 883 %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Torque
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON