A particle in equilibrium is subjected to four forces F _1 = -10 k , F _2 = u ( 4 13…

PHYSICS · Subjective · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A particle in equilibrium is subjected to four forces F⃗1=−10k^,F⃗2=u(413i^−1213j^+313k^)\vec{F}_1 = -10\hat{k}, \quad \vec{F}_2 = u\left(\frac{4}{13}\hat{i} - \frac{12}{13}\hat{j} + \frac{3}{13}\hat{k}\right) F⃗3=v(−413i^−1213j^+313k^)\vec{F}_3 = v\left(-\frac{4}{13}\hat{i} - \frac{12}{13}\hat{j} + \frac{3}{13}\hat{k}\right) and F⃗4=w(cos⁡θi^+sin⁡θj^)\vec{F}_4 = w(\cos\theta\hat{i} + \sin\theta\hat{j}) Find the values of u,vu, v and ww in terms of θ\theta .

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