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Question Number 54716 by Tawa1 last updated on 09/Feb/19

A light horizontal meter rule PQR has the end P fixed to vertical wall, while a weight of 5N is suspended from the end R. A light string QS of length 50cm fixed to the wall at S is used to maintain the meter rule in equilibrium. If PQ = 40 cm, the tension in the string is ?

$$\mathrm{A}\:\mathrm{light}\:\mathrm{horizontal}\:\mathrm{meter}\:\mathrm{rule}\:\:\mathrm{PQR}\:\:\mathrm{has}\:\mathrm{the}\:\mathrm{end}\:\:\mathrm{P}\:\mathrm{fixed}\:\mathrm{to}\: \\ $$$$\mathrm{vertical}\:\mathrm{wall},\:\mathrm{while}\:\mathrm{a}\:\mathrm{weight}\:\mathrm{of}\:\:\mathrm{5N}\:\mathrm{is}\:\mathrm{suspended}\:\mathrm{from}\:\mathrm{the}\:\mathrm{end} \\ $$$$\mathrm{R}.\:\mathrm{A}\:\mathrm{light}\:\mathrm{string}\:\mathrm{QS}\:\:\mathrm{of}\:\mathrm{length}\:\:\mathrm{50cm}\:\mathrm{fixed}\:\mathrm{to}\:\mathrm{the}\:\mathrm{wall}\:\mathrm{at}\:\mathrm{S}\:\mathrm{is}\: \\ $$$$\mathrm{used}\:\mathrm{to}\:\mathrm{maintain}\:\mathrm{the}\:\mathrm{meter}\:\mathrm{rule}\:\mathrm{in}\:\mathrm{equilibrium}. \\ $$$$\mathrm{If}\:\:\mathrm{PQ}\:=\:\mathrm{40}\:\mathrm{cm},\:\:\:\mathrm{the}\:\mathrm{tension}\:\mathrm{in}\:\mathrm{the}\:\mathrm{string}\:\mathrm{is}\:? \\ $$

Commented by Tawa1 last updated on 09/Feb/19

please help

$$\mathrm{please}\:\mathrm{help} \\ $$

Commented by tanmay.chaudhury50@gmail.com last updated on 10/Feb/19

Commented by tanmay.chaudhury50@gmail.com last updated on 10/Feb/19

tanθ=((30)/(40))=(3/4) Tsinθ×pQ=5×pR T=((5×100)/(40×(3/5)))→=((25×100)/(120))=((250)/(12))N

$${tan}\theta=\frac{\mathrm{30}}{\mathrm{40}}=\frac{\mathrm{3}}{\mathrm{4}} \\ $$$${Tsin}\theta×{pQ}=\mathrm{5}×{pR} \\ $$$${T}=\frac{\mathrm{5}×\mathrm{100}}{\mathrm{40}×\frac{\mathrm{3}}{\mathrm{5}}}\rightarrow=\frac{\mathrm{25}×\mathrm{100}}{\mathrm{120}}=\frac{\mathrm{250}}{\mathrm{12}}{N} \\ $$

Commented by Tawa1 last updated on 10/Feb/19

God bless you sir.

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

Commented by tanmay.chaudhury50@gmail.com last updated on 10/Feb/19

in hindu mythology GOD means Trinity G=gendrator=Brahmma O=organisor=Vishnu D=destroyer=Maheswar(lord shiva)

$${in}\:{hindu}\:{mythology}\:{GOD}\:{means}\:{Trinity} \\ $$$${G}={gendrator}={Brahmma} \\ $$$${O}={organisor}={Vishnu} \\ $$$${D}={destroyer}={Maheswar}\left({lord}\:{shiva}\right) \\ $$

Commented by Tawa1 last updated on 10/Feb/19

God is the one that created heaven and earth. He created you and i. He is only one God.

$$\mathrm{God}\:\mathrm{is}\:\mathrm{the}\:\mathrm{one}\:\mathrm{that}\:\mathrm{created}\:\mathrm{heaven}\:\mathrm{and}\:\mathrm{earth}.\:\mathrm{He}\:\mathrm{created} \\ $$$$\mathrm{you}\:\mathrm{and}\:\mathrm{i}.\:\:\mathrm{He}\:\mathrm{is}\:\mathrm{only}\:\mathrm{one}\:\mathrm{God}.\: \\ $$

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