PhysicsLAB CP Workbook
Tensions and Equilibrium

Refer to the following information for the next question.

The rock hangs at rest from a single string. Only two forces act on it, the upward tension T of the string, and the downward pull of gravity W.
 
The forces are equal in magnitude and opposite in direction. Net force on the rock is
 
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Here the rock is suspended by 2 strings. Tension in each string acts in a direction along the string. We'll show tension of the left string by vector A, and tension of the right string by vector B. 
The resultant of A and B is found by the parallelogram rule, and is shown by the dashed vector. Note it has the same magnitude as W, so the net force on the rock is
 
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Consider strings at unequal angles. The resultant A + B is still equal and opposite to W, and is shown by the dashed vector. Construct the appropriate parallelogram to produce this resultant. Show the relative magnitudes of A and B
 
Tension in A is ____  the tension in B.
 
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Repeat the procedure for the arrangement shown below.
 
Here tension is greater in rope
 
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Construct vectors A and B for the cases below. First draw a vector W, then the parallelogram that has equal and opposite vector A + B as the diagonal. Then write an equation relating the approximate magnitudes of A and B.
 
 

 
 

 
 





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