The figure below shows a human arm that weighs 41.10 N. The arm is extended outward and is motionless. The gravitational force Fg on the arm acts at point A, a distance of 0.2900 m from the shoulder joint, which is represented by point O. The shoulder pushes down and to the right on the humerus bone of the arm with a force Fs at point O, at an angle ? as shown. The deltoid muscle pulls back on the arm toward the shoulder with a tension force Ft. This tension force acts at a point 0.08000 m to the right of point O, and it is directed up and to the left, at a 12.00° angle with respect to the horizontal. An arm is extending horizontally to the right with a cutout that shows muscles in the upper arm. A horizontal dashed line extends along the bottom of the muscles and another along the top. Point O is labeled at the left end of the arm on the lower horizontal line. An unlabeled point lies 0.080 m horizontally to the right of point O. Point A lies 0.290 m horizontally to the right of point O. Three forces are acting on the arm.
The figure below shows a human arm that weighs 41.10 N. The arm is extended outward and is motionless. The gravitational force Fg on the arm acts at point A, a distance of 0.2900 m from the shoulder joint, which is represented by point O. The shoulder pushes down and to the right on the humerus bone of the arm with a force Fs at point O, at an angle ? as shown. The deltoid muscle pulls back on the arm toward the shoulder with a tension force Ft. This tension force acts at a point 0.08000 m to the right of point O, and it is directed up and to the left, at a 12.00° angle with respect to the horizontal. An arm is extending horizontally to the right with a cutout that shows muscles in the upper arm. A horizontal dashed line extends along the bottom of the muscles and another along the top. Point O is labeled at the left end of the arm on the lower horizontal line. An unlabeled point lies 0.080 m horizontally to the right of point O. Point A lies 0.290 m horizontally to the right of point O. Three forces are acting on the arm.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 77P
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The figure below shows a human arm that weighs 41.10 N. The arm is extended outward and is motionless. The gravitational force Fg on the arm acts at point A, a distance of 0.2900 m from the shoulder joint, which is represented by point O. The shoulder pushes down and to the right on the humerus bone of the arm with a force Fs at point O, at an angle ? as shown. The deltoid muscle pulls back on the arm toward the shoulder with a tension force Ft. This tension force acts at a point 0.08000 m to the right of point O, and it is directed up and to the left, at a 12.00° angle with respect to the horizontal.
An arm is extending horizontally to the right with a cutout that shows muscles in the upper arm. A horizontal dashed line extends along the bottom of the muscles and another along the top. Point O is labeled at the left end of the arm on the lower horizontal line. An unlabeled point lies 0.080 m horizontally to the right of point O. Point A lies 0.290 m horizontally to the right of point O. Three forces are acting on the arm.
- A force vector Fs acts down and right on point O at an acute angle ? below the horizontal.
- A force vector Ft acts up and left on the unlabeled point at an angle 12.00° above the horizontal. Vector Ft is longer than vector Fs.
- A force vector Fg acts vertically down on point A. Vector Fg is shorter than vector Fs.
Find the magnitudes (in N) of the forces Ft and Fs.
(Enter your answers to the nearest tenth of a Newton. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
(Enter your answers to the nearest tenth of a Newton. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
a) Ft
b) Fs
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