A body of mass $$10$$ kg is acted upon by two perpendicular forces $$6$$ N and $$8$$ N. The resultant acceleration of the body is :(i) $$1ms-2$$ at an angle of $$tan$$−$$1$$⁡$$43$$ w.r.t. $$6$$ N $$force(ii)$$ $$0.2ms-2$$ at an angle of $$tan$$−$$1$$⁡$$43$$ w.r.t. $$6$$ N $$force(iii)$$ $$1ms-2$$ at an angle of $$tan$$−$$1$$⁡$$34$$ w.r.t. $$8N$$ $$force(iv)$$ $$0.2ms-2$$ at an angle of $$tan$$−$$1$$⁡$$34$$ w.r.t. $$8N$$ force

Question

A body of mass $$10$$ kg is acted upon by two perpendicular forces $$6$$ N and $$8$$ N. The resultant acceleration of the body is :(i) $$1ms-2$$ at an angle of $$tan$$−$$1$$⁡$$43$$ w.r.t. $$6$$ N $$force(ii)$$ $$0.2ms-2$$ at an angle of $$tan$$−$$1$$⁡$$43$$ w.r.t. $$6$$ N $$force(iii)$$ $$1ms-2$$ at an angle of $$tan$$−$$1$$⁡$$34$$ w.r.t. $$8N$$ $$force(iv)$$ $$0.2ms-2$$ at an angle of $$tan$$−$$1$$⁡$$34$$ w.r.t. $$8N$$ force

Infinity Learn · Accepted Answer

Resultant force $$82+62=10$$ $$NAcceleration=10N10$$ $$kg=1m/s2tan$$⁡θ$$1=86=43tan$$⁡θ$$2=68=34$$

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