A 35N force makes an angle 140° with x
axis Determine its components along the lines
making angles of 300° and 240° with x axis.
A. -9.11N, 11.97N
B. -11.97 N, 6.07 N
C. 10.98 N , 7.06 N
D. 7.06N, 10.98N
Answers
Answer:
option b
Explanation:
The force component will be A) -9.11N and 11.97N.
step-by-step Explanation
In material science, force is an impact that can change the movement of an object. A force can make an item with mass change its speed (for example moving from a condition of rest), i.e., to accelerate. Force can likewise be depicted naturally as a push or a draw. Force has both size and bearing, making it a vector amount. It is estimated in the SI unit of newton (N).
A power f has a magnitude of 300 Newton and makes a point of 300 degrees with the positive x pivot. What is the part of the power along the x-axis; fx and along the y-axis; fy?
Given
The greatness of the force, F=300N
Point θ=300°
The above circumstance can be drawn as follows
Hence the part of power along the x-axis is
Fx=Fcos(360−θ)=Fcos(360-300)=Fcos(60)
( ∵cos is positive in forwarding quadrant)
Fx=300×12=150N
The part of power along the x-hub is
Fy=Fsin(360−θ)=Fsin(360-300)=F(−sin(60))
[ sin(360−θ)=−sinθ this is on the grounds that (360−θ) lies in the forward quadrant where sin is negative as per ASTC rule.]
Fy=300×(−0.866)=−259.8N
Thus, the force component will be A) -9.11N and 11.97N.
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