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Q.

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 900 in anti-clockwise direction. Find x-component and y-component in new coordinate system.

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a

Fx= 8N,  Fy = 6 N

b

Fx= 6N,  Fy = 8 N

c

Fx = 6 N, Fy = -8 N

d

Fx = -6 N, Fy = 8 N

answer is C.

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Detailed Solution

In new coordinate system,Fsin370= 6NFsin370= 6 NFcos 370 = 8 Nx-component Fx = F sin370 = 10×35 = 6Ny-component Fy = -Fcos370                                 = -10×45 =- 8 N
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