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Category: Mechanics

Question-52814

Question Number 52814 by ajfour last updated on 13/Jan/19 Commented by ajfour last updated on 13/Jan/19 $${Initially}\:{rod}\:{whose}\:{one}\:{end}\:{is} \\ $$$${pivoted}\:{to}\:{centre}\:{of}\:{disc},\:{is}\:{kept} \\ $$$${vertical}\:{and}\:{released},\:{Find}\:{v}\left(\theta\right). \\ $$$${Friction}\:{is}\:{sufficient}\:{say},\: \\ $$$${coefficient}\:{is}\:\mu.…

Question-52787

Question Number 52787 by peter frank last updated on 13/Jan/19 Answered by tanmay.chaudhury50@gmail.com last updated on 13/Jan/19 $${flow}\:{of}\:{fluid}\:{in}\:{pipe}\:{formula} \\ $$$$\frac{{dV}}{{dt}}=\frac{\bigtriangleup{p}×\pi{r}^{\mathrm{4}} }{\mathrm{8}\eta{l}}=\frac{\bigtriangleup{p}}{\frac{\mathrm{8}\eta{l}}{\pi{r}^{\mathrm{4}} }} \\ $$$${compare}\:{it}\:{with}\:{flow}\:{of}\:{current}\:{in}\:{resistance}.. \\…

Question-52786

Question Number 52786 by peter frank last updated on 13/Jan/19 Commented by tanmay.chaudhury50@gmail.com last updated on 13/Jan/19 $${mw}^{\mathrm{2}} {r}=\frac{{GMm}}{{r}^{\mathrm{2}} }\:\left[\:{M}={mass}\:{of}\:{sun},\:\:{m}={mass}\:{of}\:{planet}\right] \\ $$$$\left(\frac{\mathrm{2}\pi}{{T}}\right)^{\mathrm{2}} =\frac{{GM}}{{r}^{\mathrm{3}} }\:\left[{r}={distance}\:{between}\:{planet}\:{and}\:{sun}\right] \\…

Question-52752

Question Number 52752 by afachri last updated on 12/Jan/19 Commented by afachri last updated on 12/Jan/19 $$\boldsymbol{\mathrm{Dear}}\:\boldsymbol{\mathrm{Sir}},\: \\ $$$$\boldsymbol{\mathrm{i}}'\boldsymbol{\mathrm{m}}\:\boldsymbol{\mathrm{just}}\:\boldsymbol{\mathrm{wondering}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{there}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{unique}}\:\boldsymbol{\mathrm{solution}} \\ $$$$\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{F}}_{\mathrm{2}} \:\boldsymbol{\mathrm{and}}\:\boldsymbol{\alpha}\:\boldsymbol{\mathrm{if}}\::\:\boldsymbol{{the}}\:\boldsymbol{{resultant}}\:\boldsymbol{{of}}\:\boldsymbol{\mathrm{F}}_{\mathrm{1}} \:\boldsymbol{\mathrm{and}} \\ $$$$\boldsymbol{\mathrm{F}}_{\mathrm{2}}…

Question-52611

Question Number 52611 by ajfour last updated on 10/Jan/19 Commented by ajfour last updated on 11/Jan/19 $${Find}\:{tensions}\:{in}\:{both}\:{strings}\:{if} \\ $$$$\left({i}\right)\:\bigtriangleup{ABC}\:{be}\:{equilateral}\:{of}\:{side}\:{a}. \\ $$$$\left({ii}\right)\:{it}\:{be}\:{of}\:{sides}\:{a},{b},{c}.\:\: \\ $$ Commented by…