A vector of magnitude 10 N acting in XY-plane has components 8 N and 6 N along positive X-axis and positive Y-axis, respectively. The coordinate system is rotated about Z-axis through angle 90o in anti-clockwise direction. Find x-component and y-component in new coordinate system.
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a
Fx=8N,Fy=6N
b
Fx=6N,Fy=8N
c
Fx=6N,Fy=−8N
d
Fx=8N,Fy=−8N
answer is C.
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Detailed Solution
In new coordinate system,Fsin37∘=6NFcos37∘=8Nx-component Fx=Fsin37∘=10×35=6Ny-component Fy=−Fcos37∘=−10×45=−8N