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the classical block problem

Posted: Thu Jun 05, 2014 8:52 am
by azoroth
hi , i have been preparing for the physics GRE and i m following the Yoni khan book of conquering the physics GRE, and i m kind of stuck in the very first problem..

A block opf mass 5 kg is positioned on an elclined plane at an angle 45 degree. A force of 10 N is applied to the block parallel to the ground, if the coefficient of kinetic friction is 0.5, what is the acceleration of the block?

i solved out the problem first for motion without kinetic friction. so
mg*sinx-F sinx = 20*sqrt 2............(1) net downward motion


the considering friction,
mu*mg*cos x= 25sqrt 2........(2) net upward motion
so the accelearion should be sqrt2 upward, but the solution says it should be sqrt up, where am i getting it wrong ?
please help

Re: the classical block problem

Posted: Thu Jun 05, 2014 12:38 pm
by bfollinprm
....friction can never cause acceleration, bro.

Re: the classical block problem

Posted: Thu Jun 05, 2014 2:25 pm
by YF17A
Hi, one of the authors here. Remember that the frictional force is always proportional to the normal force, which receives an additional contribution from the applied force in this problem. Also it looks like you forgot a factor of 1/2 in your calculation of the frictional force: cos x = sqrt(2)/2, not sqrt(2). The combination of those two should get you the correct answer.

(And of course friction can cause acceleration! That's how a train works.)

Re: the classical block problem

Posted: Thu Jun 05, 2014 7:11 pm
by bfollinprm
sorry, yes.

Re: the classical block problem

Posted: Fri Jun 06, 2014 1:05 am
by azoroth
that helps, thanks

Re: the classical block problem

Posted: Fri Jun 06, 2014 6:19 pm
by kangaroo
I must say it's alarming that you are struggling with this. Classical mechanics is a basic tenet when studying physics, and if this is still not ingrained by now...well it's time to go through undergrad again.

Re: the classical block problem

Posted: Fri Jun 06, 2014 10:20 pm
by SSM
I must say it's alarming you're still as arrogant and egotistical as when you started graduate school several years ago, kangaroo.