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Category: Mechanics

Question-214248

Question Number 214248 by mr W last updated on 03/Dec/24 Commented by mr W last updated on 02/Dec/24 $${a}\:{man}\:{with}\:{mass}\:{M}\:{is}\:{standing}\:{on} \\ $$$${the}\:{top}\:{of}\:{a}\:{twin}\:{step}\:{ladder}.\:{each} \\ $$$${ladder}\:{with}\:{length}\:{l}\:{has}\:{a}\:{mass}\:{m}. \\ $$$${both}\:{ladders}\:{form}\:{an}\:{angle}\:{of}\:\mathrm{45}°.…

Question-214132

Question Number 214132 by ajfour last updated on 29/Nov/24 Answered by MathematicalUser2357 last updated on 29/Nov/24 $${b}^{\mathrm{2}} ={a}^{\mathrm{2}} +{c}^{\mathrm{2}} −\mathrm{2}{ac}\:\mathrm{cos}\:\theta \\ $$$$\mathrm{cos}\:\theta=\frac{{a}^{\mathrm{2}} −{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }{\mathrm{2}{ac}}…

Question-214093

Question Number 214093 by ajfour last updated on 27/Nov/24 Commented by ajfour last updated on 27/Nov/24 $${If}\:{A},\:{B},\:{C}\:{in}\:{some}\:{time}\:{come}\:{in}\:{eql}. \\ $$$$\bigtriangleup\:{position}\:{then}\:{how}\:{are}\:{v}\:{and}\:{u} \\ $$$${related}?\:{After}\:{what}\:{time}\:{this} \\ $$$${happens}.\:{At}\:{t}=\mathrm{0},\:{all}\:{are}\:\:{at}\:{the}\:{origin}. \\ $$…

Question-214047

Question Number 214047 by ajfour last updated on 25/Nov/24 Commented by ajfour last updated on 25/Nov/24 $$\:{The}\:{L}\:{shaped}\:{rigid}\:{scale}\:{can}\:{turn}\: \\ $$$${about}\:{the}\:{pivot}\:{on}\:{a}\:{frictionless}\:{table}. \\ $$$$\:{The}\:{small}\:{mass}\:{m}\:{hits}\:{and}\:{after}\: \\ $$$${rebounding}\:{happens}\:{to}\:{find}\:{the} \\ $$$$\:{other}\:{end}.\:{Find}\:\theta,\:{if}\:\alpha\:{is}\:{measured}.…

Question-213920

Question Number 213920 by ajfour last updated on 21/Nov/24 Commented by ajfour last updated on 21/Nov/24 $${Can}\:{we}\:{find}\:{at}\:{what}\:{speed}\:{does}\:{point} \\ $$$${P}\:{approach}\:{the}\:{ground}\:{just}\:{before} \\ $$$${hitting}\:{the}\:{ground}\:{if}\:{released}\:{at}\:{say} \\ $$$${the}\:{lower}\:{edge}\:{at}\:\mathrm{45}°\:{to}\:{horizontal}. \\ $$$${The}\:{radius}\:{of}\:{semi}-{disc}\:{is}\:{r},\:{mass}\:{m}.…

Question-213838

Question Number 213838 by ajfour last updated on 18/Nov/24 Commented by ajfour last updated on 18/Nov/24 $${A}\:{solid}\:{ball}\:{is}\:{released}\:{over}\:{a}\:{fixed} \\ $$$${cylindrical}\:{wedge}\:{as}\:{shown}.\:{Friction} \\ $$$${is}\:{sufficient}.\:{If}\:{just}\:{after}\:{the}\:{ball} \\ $$$${leaves}\:{the}\:{curved}\:{surface}\:{due}\:{to} \\ $$$${Normal}\:{reaction}\:{vanishing},\:{it}\:…

Question-213614

Question Number 213614 by Spillover last updated on 10/Nov/24 Commented by Frix last updated on 10/Nov/24 $$\mathrm{A}\:\mathrm{photon}\:\mathrm{is}\:\mathrm{a}\:\mathrm{quantum}\:\mathrm{particle}. \\ $$$$\mathrm{We}\:\mathrm{cannot}\:\mathrm{measure}\:\mathrm{its}\:\mathrm{location}\:\mathrm{because} \\ $$$$\mathrm{we}\:\mathrm{exactly}\:\mathrm{know}\:\left(\mathrm{measured}\right)\:\mathrm{its}\:\mathrm{speed}. \\ $$$$\mathrm{Its}\:\mathrm{speed}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same}\:\mathrm{in}\:\mathrm{every}\:\mathrm{reference} \\ $$$$\mathrm{frame}.\:\mathrm{You}\:\mathrm{cannot}\:\mathrm{stop}\:\mathrm{it}\:\mathrm{and}\:\mathrm{say}\:“\mathrm{here}…

Question-213613

Question Number 213613 by Spillover last updated on 10/Nov/24 Answered by Frix last updated on 10/Nov/24 $$\mathrm{The}\:\mathrm{universe}\:\mathrm{is}\:\mathrm{all}\:\mathrm{that}\:\mathrm{there}\:\mathrm{is},\:\mathrm{it}'\mathrm{s}\:\mathrm{simply} \\ $$$$\mathrm{expanding}\:\mathrm{into}\:\mathrm{itself}. \\ $$$$\mathrm{We}\:\mathrm{cannot}\:\mathrm{find}\:\mathrm{analogies}\:\mathrm{to}\:\mathrm{this},\:\mathrm{the}\:\mathrm{picture} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{balloon}\:\mathrm{isn}'\mathrm{t}\:\mathrm{accurate}. \\ $$…