Two-horses-pull-horizontally-on-ropes-attached-to-a-stump-The-two-forces-F-and-T-that-they-applied-to-the-stump-are-such-that-the-resultant-R-has-a-magnitude-equal-to-F-and-makes-an-angle-of-90-with-

Question Number 16015 by chux last updated on 16/Jun/17

$$\mathrm{Two}\:\mathrm{horses}\:\mathrm{pull}\:\mathrm{horizontally}\:\mathrm{on} \\ $$$$\mathrm{ropes}\:\mathrm{attached}\:\mathrm{to}\:\mathrm{a}\:\mathrm{stump}.\mathrm{The} \\ $$$$\mathrm{two}\:\mathrm{forces}\:\mathrm{F}\:\mathrm{and}\:\mathrm{T}\:\mathrm{that}\:\mathrm{they} \\ $$$$\mathrm{applied}\:\mathrm{to}\:\mathrm{the}\:\mathrm{stump}\:\mathrm{are}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{the}\:\mathrm{resultant}\:\mathrm{R}\:\mathrm{has}\:\mathrm{a}\:\mathrm{magnitude} \\ $$$$\mathrm{equal}\:\mathrm{to}\:\mathrm{F}\:\mathrm{and}\:\mathrm{makes}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of} \\ $$$$\mathrm{90}°\:\mathrm{with}\:\mathrm{F}.\mathrm{Let}\:\mathrm{F}=\mathrm{1300N}\:\mathrm{and}\: \\ $$$$\mathrm{R}=\mathrm{1300N}.\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{T}. \\ $$

Commented by chux last updated on 17/Jun/17

$$\mathrm{please}\:\mathrm{help}…\:\mathrm{its}\:\mathrm{urgent}. \\ $$

Answered by mrW1 last updated on 17/Jun/17

$$\mathrm{T}=\mathrm{1300}×\sqrt{\mathrm{2}} \\ $$$$ \\ $$$$\mathrm{as}\:\mathrm{vector} \\ $$$$\boldsymbol{\mathrm{R}}=\boldsymbol{\mathrm{F}}+\boldsymbol{\mathrm{T}} \\ $$$$\mathrm{1300j}=\mathrm{1300i}+\boldsymbol{\mathrm{T}} \\ $$$$\Rightarrow\boldsymbol{\mathrm{T}}=−\mathrm{1300i}+\mathrm{1300j} \\ $$$$\mathrm{T}=\mathrm{1300}\sqrt{\mathrm{2}} \\ $$

Commented by chux last updated on 18/Jun/17

$$\mathrm{thanks}\:\mathrm{so}\:\mathrm{much}… \\ $$

Terms of Service
Privacy Policy
Contact: info@tinkutara.com