Question

A block on a rough inclined plane.....
Question attached.

Answer 1

@Mashy

Answer 2

@shubhamsrg @DLS

Answer 3

Its easy.

Answer 4

What the heck is that ?
Sry i only understand english

Answer 5

Ignore the hindi part. Its just the translation of the question.

Answer 6

I ve got d ans.

Answer 7

For the first question?

Answer 8

yes

Answer 9

Its a. Might me some minor mistake.

Answer 10

Here

Suppose the block has moved a distance x

Answer 11

then at position x balance the forces i.e.
mgsin(-) - umgcos(-) = 0
Integrate this from 0 to x

Answer 12

u get the answer on simplification.

Answer 13

Reply when done

Answer 14

Well i get this sin(-)=mu*x^2/2*cos(-)
Doesnt give me the required answer? @lordcyborg

Answer 15

there is no m term on RHS

Answer 16

and u missed an 'x' term on LHS

Answer 17

There is. You see the coefficient of friction given is mu=mu(not)*x.
Ah, so we are not balancing forces, we are conserving the work. I get it.
But that still doesnt give me a ?

Answer 18

hey man/woman.................
on integrating u get mgsin(theta)*x=u.mgcos(theta)*(x^2)/2
Cut mg and 'x' on both sides..........
U get the answer........now try it fast

Answer 19

Oh. But you cant balance forces for the body to stop right? You have to conserve the work done?

Answer 20

When you balance forces, it means there is no acceleration. It doesnt necessarily mean that the body is at rest?
And a man.

Answer 21

lol.........Dont go too deep...........i'm balancing forces when body is at rest

Answer 22

I dont think you can balance force for the body to be at rest.

Answer 23

ya we cannot all times.........bt we can

Answer 24

Why doesnt conservation of energy give me the answer?

Answer 25

coz u can apply dt when there are conservative forces.......in this case friction is not acting as a conservative force..........Now dont make me bore

Answer 26

You can leave if you are getting bored. You chose to answer my question. I didnt tell you to come here and help me. Thank you.

Answer 27

C'mon man............I gave u the perfect(i suppose) reasons.........now go and sleep it 2:15 a.m.

Answer 28

Yeah you did. Thank you.

Answer 29

a = gsin@ - u0 x gcos@
vdv = (gsin@ - u0 xgcos@)dx

=> 0 = gsin@ x - u0 gcos@ x^2/2

x=0 and x = 2tan@/u0