A force 10N acts in the direction 060° and another force 6N acts in the direction 330°. Find the y component of their resultant force.
Question 1 Report
A force 10N acts in the direction 060° and another force 6N acts in the direction 330°. Find the y component of their resultant force.
Answer Details
We can use vector addition to find the resultant force, then take the y component of it.
First, we need to convert the forces into their x and y components.
For the force of 10N at 060°, the x component is 10 cos(60°) = 5 N and the y component is 10 sin(60°) = 5√3 N.
For the force of 6N at 330°, the x component is 6 cos(330°) = 3√3 N and the y component is 6 sin(330°) = -3 N.
To find the resultant force, we add the x components and the y components separately:
x component: 5 N + 3√3 N = 5 N + 5.2 N = 10.2 N
y component: 5√3 N - 3 N = 8.66 N
So the y component of the resultant force is 8.66 N.
Therefore, the answer is (B) \((-3 + 5\sqrt{3})N\).
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