Problem 7 Package BalanceTwo packages of mass 7m and 3m are suspended on the rampinclined at 30° as shown. A third unknown mass is suspendedfrom a pulley such that the system is in equilibrium. (a) Drawfree-body diagrams for each package/mass. (b) What is thevalue of the suspended mass? (c) Suppose we remove thesuspended mass. What is the resultant acceleration of eachpackage? What is the tension in the rope connecting them?7m3m

Name: Problem 7 Package BalanceTwo packages of mass 7m and 3m are suspended
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Description: Problem 7 Package BalanceTwo packages of mass 7m and 3m are suspended on the rampinclined at 30° as shown. A third unknown mass is suspendedfrom a pulley such that the system is in equilibrium. (a) Drawfree-body diagrams for each package/mass. (b) W

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College Physics

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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)...

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Problem 7 Package Balance
Two packages of mass 7m and 3m are suspended on the ramp
inclined at 30° as shown. A third unknown mass is suspended
from a pulley such that the system is in equilibrium. (a) Draw
free-body diagrams for each package/mass. (b) What is the
value of the suspended mass? (c) Suppose we remove the
suspended mass. What is the resultant acceleration of each
package? What is the tension in the rope connecting them?
7m
3m

Expert Solution

Step 1

Given:-

We have given that the two masses on an inclined plane are 7m and 3m

The angle of the inclined plane is $θ = 30^{°}$

The third unknown mass is suspended from the pulley in a way that the system is in equilibrium condition

Find:-

a) Draw a free body diagram for each package/mass

b) what is the value of the suspended mass

c) suppose we remove the suspended mass. what is the resultant acceleration of each package? what is the tension in the rope connecting them?

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