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Category: Mechanics

A-car-negotiates-a-bend-of-radius-20m-with-an-acceleration-of-12m-s-2-What-is-the-maximum-speed-the-car-can-attain-without-skidding-

Question Number 30612 by NECx last updated on 23/Feb/18 $${A}\:{car}\:{negotiates}\:{a}\:{bend}\:{of}\:{radius} \\ $$$$\mathrm{20}{m}\:{with}\:{an}\:{acceleration}\:{of}\: \\ $$$$\mathrm{12}{m}/{s}^{\mathrm{2}} .{What}\:{is}\:{the}\:{maximum} \\ $$$${speed}\:{the}\:{car}\:{can}\:{attain}\:{without} \\ $$$${skidding}? \\ $$ Terms of Service Privacy…

Question-30165

Question Number 30165 by rahul 19 last updated on 17/Feb/18 Commented by ajfour last updated on 19/Feb/18 $${let}\:{us}\:{first}\:{choose}\:{a}\:{fixed}\:{x}-{axis}. \\ $$$$\bar {\omega}\:=\:\omega\hat {{k}}\:\:\:{and}\:{at}\:{time}\:{t}\:\:\theta=\omega{t} \\ $$$$\bar {{r}}={r}\left(\mathrm{cos}\:\theta\hat…

Question-30129

Question Number 30129 by ajfour last updated on 16/Feb/18 Commented by ajfour last updated on 16/Feb/18 $${Determine}\:{eq}.\:{of}\:{trajectory}\:{of} \\ $$$${a}\:{solid}\:{rubber}\:{ball}\:{of}\:{radius}\:\boldsymbol{{r}},\:{until} \\ $$$${it}\:{rolls}\:{down}\:{without}\:{slipping}. \\ $$ Terms of…

TAKEN-FROM-REAL-LIFE-if-I-try-to-walk-into-a-shop-through-a-super-clean-closed-glass-door-and-get-myself-a-bloody-nose-then-what-s-the-value-of-the-brake-acceleration-when-we-assume-1-my-walking-spee

Question Number 161194 by MJS_new last updated on 14/Dec/21 $$\mathbb{TAKEN}\:\mathbb{FROM}\:\mathbb{REAL}\:\mathbb{LIFE} \\ $$$$\mathrm{if}\:\mathrm{I}\:\mathrm{try}\:\mathrm{to}\:\mathrm{walk}\:\mathrm{into}\:\mathrm{a}\:\mathrm{shop}\:\mathrm{through}\:\mathrm{a}\:\mathrm{super} \\ $$$$\mathrm{clean}\:\mathrm{closed}\:\mathrm{glass}\:\mathrm{door}\:\mathrm{and}\:\mathrm{get}\:\mathrm{myself}\:\mathrm{a} \\ $$$$\mathrm{bloody}\:\mathrm{nose}\:\mathrm{then}\:\mathrm{what}'\mathrm{s}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{brake}\:\mathrm{acceleration}\:\mathrm{when}\:\mathrm{we}\:\mathrm{assume} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{my}\:\mathrm{walking}\:\mathrm{speed}\:\mathrm{is}\:\mathrm{7km}/\mathrm{hr} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{the}\:\mathrm{crumple}\:\mathrm{zone}\:\mathrm{of}\:\mathrm{my}\:\mathrm{nose}\:\mathrm{is}\:\mathrm{1}/\mathrm{2}'' \\ $$$$\left.\mathrm{3}\right)\:\mathrm{the}\:\mathrm{brake}\:\mathrm{acceleration}\:\mathrm{is}\:\mathrm{constant} \\…

Question-29924

Question Number 29924 by ajfour last updated on 13/Feb/18 Commented by ajfour last updated on 13/Feb/18 $${On}\:{a}\:{plank}\:{a}\:{small}\:{block}\:{m}\:{is} \\ $$$${kept}.\:{The}\:{plank}\:{is}\:{free}\:{to}\:{rotate} \\ $$$${about}\:{a}\:{horizontal}\:{axis}\:{at}\:{its}\:{end}. \\ $$$${If}\:{released}\:{as}\:{shown},\:{find} \\ $$$${angle},\:{angular}\:{velocity}\:{of}\:{plank}…

Question-29907

Question Number 29907 by ajfour last updated on 13/Feb/18 Commented by ajfour last updated on 13/Feb/18 $${A}\:{boy}\:{swims}\:{at}\:{speed}\:\boldsymbol{{v}}\:{in}\:{still} \\ $$$${water}\:,\:{walks}\:{on}\:{ground}\:{with} \\ $$$${speed}\:\boldsymbol{\mathrm{w}}\:>\:\boldsymbol{{v}}\:.\:\:{If}\:{he}\:{needs}\:{to}\:{cross} \\ $$$${a}\:{river}\:{of}\:{width}\:\boldsymbol{{b}},\:{water}\:{flowing}\: \\ $$$${at}\:{speed}\:\boldsymbol{{u}},\:{find}\:{the}\:{minimum}…