Question
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?
The first force is 124 N at an angle of
and the second is 187 N at an angle of
What is the
total force acting on the block?
Ask by Bryant Macdonald. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The
-component of the total force acting on the block is approximately 16.1 N.
Solution
-
Write the
-components of the forces: -
Compute each component:
- For the first force:
where . - For the second force, note that
Therefore,
- For the first force:
-
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.
-
For the first force (124 N at
): -
For the second force (187 N at
): -
Now, add the
-components together to find the total:
Thus, the
-component of the total force acting on the block is: