Pregunta
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A block is pulled by two horizontal forces.
The first force is 124 N at an angle of
and the second is 187 N at an angle of .
What is the -component of the
total force acting on the block?

Ask by Bryant Macdonald. in the United States
Mar 22,2025

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Responder

The -component of the total force acting on the block is approximately 16.1 N.

Solución

  1. Write the -components of the forces:
  2. Compute each component:
    • For the first force: where .
    • For the second force, note that Therefore,
  3. Sum the -components:
Thus, the -component of the total force acting on the block is

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Extra Insights

To find the -component of the total force acting on the block, we can break down each force into its -components using trigonometric functions.
  1. For the first force (124 N at ):
  2. For the second force (187 N at ):
  3. Now, add the -components together to find the total:
Thus, the -component of the total force acting on the block is:

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