**ALL NECESSARY INFORMATION IS GIVEN,    A spool rests on a horizontal, frictionless surface and you are looking at it from the top view (appears as a circle). In the following questions, the spool is pulled by tension forces that are applied at various locations, directions, and radii. To solve each problem, draw the spool as a circle on a piece of paper and then draw the given tension vectors. REMEMBER that the direction UPWARD points to the TOP of the page and DOWNWARD points to the BOTTOM of the page. The resulting TORQUE will be either OUT OF the page (CCW motion, POSITIVE torque) or INTO the page (CW motion, NEGATIVE torque). A rope of tension 2T applies a force at radius 3R on the spool. It is located at 12 o'clock and pulls to the left. What is the resulting torque in terms of rT? Remember to check whether the torque is positive (results in CCW motion) or negative (results in CW motion). A rope of tension 1T applies a force at radius 4R on the spool. It is located at 12 o'clock and pulls to the right. What is the resulting torque in terms of rT? Rope #1 of tension 1T applies a force at radius 2R on the spool. It is located at 6 o'clock and pulls to the left. Rope #2 of tension 2T applies a force at radius 4R on the spool. It is located at 12 o'clock and pulls to the left. What is the resulting torque due to both ropes in terms of rT?

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)...
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**ALL NECESSARY INFORMATION IS GIVEN, 

 

spool rests on a horizontal, frictionless surface and you are looking at it from the top view (appears as a circle).
In the following questions, the spool is pulled by tension forces that are applied at various locations, directions, and radii.
To solve each problem, draw the spool as a circle on a piece of paper and then draw the given tension vectors.

REMEMBER that the direction UPWARD points to the TOP of the page and DOWNWARD points to the BOTTOM of the page.
The resulting TORQUE will be either OUT OF the page (CCW motion, POSITIVE torque) or INTO the page (CW motion, NEGATIVE torque).

A rope of tension 2T applies a force at radius 3R on the spool. It is located at 12 o'clock and pulls to the left.
What is the resulting torque in terms of rT? Remember to check whether the torque is positive (results in CCW motion) or negative (results in CW motion).

A rope of tension 1T applies a force at radius 4R on the spool. It is located at 12 o'clock and pulls to the right.
What is the resulting torque in terms of rT?

Rope #1 of tension 1T applies a force at radius 2R on the spool. It is located at 6 o'clock and pulls to the left.
Rope #2 of tension 2T applies a force at radius 4R on the spool. It is located at 12 o'clock and pulls to the left.
What is the resulting torque due to both ropes in terms of rT?

 

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