Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 4.2, Problem 2cT
Consider the following discussion between three students.
Student 1: “The string exerts a force that is tangent to the rim of spool A. This force has no component that points toward the center of the spool, so this force does not affect the acceleration of the center of mass."
Student 2: "I disagree. The acceleration of the center of mass of the spool is affected by the string. Any of the force not used up in rotational acceleration will be given to translation acceleration. This is why the acceleration of the center of mass of spool A is less than g."
Student 3: "The net force on spool A is the gravitational force minus the tension force. By Newton's second law, the acceleration of the center of mas is the net force divided by the mass. A force will have the same effect on the motion of the center of mass regardless of whether the force causes rotational motion or not."
With which student(s), if any, do you agree? Explain your reasoning.
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Students have asked these similar questions
Consider a bar, of length 5.5 m, shown in the figure, being acted on by three forces. The magnitudes of the first two forces are 23 N and 28 N, and the first force is acting on the end of the bar at an angle of 54° as shown.
a)What is the torque, in newton-meters, due to F1 on this bar relative to the left end? Use a coordinate system with positive directed out of the screen.
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c)What is the magnitude of the force F3, in newtons, if the force is a distance 0.65 m from the left end and the bar is not rotating?
For this problem, refer to the figure on the right.
Which force will cause the smallest torque? The axis of rotation is located on the left end as shown in the diagram. Assume all forces have equal magnitude.
Consider the solid disk of mass 13 kg in the diagram below. What is the net torque on the disk about its center? What is the resulting angular acceleration? Assume the radii shown in the figure are 10 cm and 20 cm, and that FA = 25 N and FB = 15 N.
Chapter 4 Solutions
Tutorials in Introductory Physics
Ch. 4.1 - Draw arrows on the diagram to represent the...Ch. 4.1 - Mark the position of each of the labeled points at...Ch. 4.1 - Suppose the wheel makes one complete revolution in...Ch. 4.1 - Would two observers on either side of a rotating...Ch. 4.1 - The diagrams at right show top and side views of...Ch. 4.1 - In the space at right sketch the position vectors...Ch. 4.1 - Let | in terms of |o| . 1. The wheel is made to...Ch. 4.1 - Suppose the wheel slows down uniformly, so that ||...Ch. 4.1 - A force of magnitude Fo is applied to point M as...Ch. 4.1 - Compare the magnitude of the net torque about the...
Ch. 4.2 - A ruler is placed on a pivot and held at an angle...Ch. 4.2 - Draw a free-body diagram for the ruler (after it...Ch. 4.2 - How would your free-body diagram change if the...Ch. 4.2 - Predict: which spool will reach the floor first....Ch. 4.2 - Obtain two spools and a ring stand. Use the...Ch. 4.2 - Consider the following discussion between three...Ch. 4.2 - Write down Newton’s second law for each spool....Ch. 4.3 - A T-shaped board of uniform mass density has two...Ch. 4.3 - Prob. 1bTCh. 4.3 - Attach day to the bottom left side of the board so...Ch. 4.3 - Prob. 2bTCh. 4.3 - C. Imagine that the T-shaped board (with no clay...
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