A-uniform-ladder-of-weight-W-and-length-2a-rest-in-limiting-equilibrium-with-one-end-on-a-rough-horizontal-ground-and-the-other-end-on-a-rough-vertical-wall-The-coefficient-of-friction-between-the-l Tinku Tara June 3, 2023 Others 0 Comments FacebookTweetPin Question Number 76579 by Rio Michael last updated on 28/Dec/19 AuniformladderofweightWandlength2arestinlimitingequilibriumwithoneendonaroughhorizontalgroundandtheotherendonaroughverticalwall.Thecoefficientoffrictionbetweentheladderandthegroundandbetweentheladderandthewallarerespectivelyμandλ.Iftheladdermakesanangleθwiththegroundwheretanθ=512,a)showthat5μ+6λμ−6=0.b)findthevalueofλandμgiventhatλμ=12. Answered by mr W last updated on 28/Dec/19 Commented by mr W last updated on 28/Dec/19 f1=μN1f2=λN2N1+f2=W⇒N1+λN2=W…(i)N2−f1=0⇒N2−μN1=0…(ii)L=lengthofladderW×L2cosθ+f1×Lsinθ−N1×Lcosθ=0Wcosθ+2(μsinθ−cosθ)N1=0…(iii)(i)−(ii)×λ:N1(1+μλ)=Wputthisinto(iii):N1(1+μλ)cosθ+2(μsinθ−cosθ)N1=0(1+μλ)cosθ+2(μsinθ−cosθ)=02μsinθ=(1−μλ)cosθ⇒tanθ=1−μλ2μ=512⇒5μ+6μλ−6=0ifμλ=125μ+6×12−6=0⇒μ=35⇒λ=12μ=56 Commented by Rio Michael last updated on 28/Dec/19 thankssir Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: simplify-A-n-x-1-ix-n-1-ix-n-x-from-C-Next Next post: how-many-divisors-does-180045-has- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.