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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-mai




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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