Systems of objects connected with pulleys Exercise 7.0 Warm-up Consider a 2-body problem in which 2 known masses are hung over a low-friction pulley by a very light string. a) When the masses are released, in what direction will m1 travel?. what direction will m2 travel? in 2.25 kg b) How will the acceleration of m1 compare to the acceleration of m2? Explain 2.10 kg 111 2 c) How does the net force on m1 compare to the net force on m2? Explain d) Why are "very-light string" and "low friction pulley" important elements of this problem? e) Using your understanding of 2-body system, see if you can determine the accelerations of m1 and m2.

Systems of objects connected with pulleys Exercise 7.0 Warm-up Consider a 2-body problem in which 2 known masses are hung over a low-friction pulley by a very light string. a) When the masses are released, in what direction will m1 travel?. what direction will m2 travel? in 2.25 kg b) How will the acceleration of m1 compare to the acceleration of m2? Explain 2.10 kg 111 2 c) How does the net force on m1 compare to the net force on m2? Explain d) Why are "very-light string" and "low friction pulley" important elements of this problem? e) Using your understanding of 2-body system, see if you can determine the accelerations of m1 and m2.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 61PQ

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

How do you approach solving pulley problems with multiple objects, like the one in the attached pictures

Systems of objects connected with pulleys
Exercise 7.0 Warm-up
Consider a 2-body problem in which 2 known masses are hung over a
low-friction pulley by a very light string.
a) When the masses are released, in what direction will m1 travel?.
what direction will m2 travel?
in
2.25 kg
b) How will the acceleration of m1 compare to the acceleration of m2?
Explain
2.10 kg
111 2
c) How does the net force on m1 compare to the net force on m2? Explain
d) Why are "very-light string" and "low friction pulley" important elements of this problem?
e) Using your understanding of 2-body system, see if you can determine the accelerations of m1 and m2.

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