yeah right.. and what we do normally use is, Newtonian assumption (for dry friction): µk & fk doesnt depend upon surface area, or speed.. (µk doesnt depend upon even mass) ..but then it is just an assumption.. for we to be able to work easily, and possibly it matches agreeably (although not...
If I am not mistaken following are the findings which some standard text books have quoted:
µk, for rigid bodies, depends on the two materials in contact and is independent of mass, m. Therefore, in a given problem fk is proportional to normal reaction (as fk = µkN).
But also, some have quoted...
I think your statements have flaws.
Have you directly quoted the question or have you tried to put it up in your own words?
And, when you say, "i got the wrong answer" .. you should be knowing the correct answer?
Anyways, as far as classical Kinematics go:
Kinetic Energy = m*(v^2)/2...
Method I:
Ideal Fluid, by definition, can not tolerate any shear force. Use this fact.
Assume the centre of the water surface to be origin. Let P(x,y) be a point on the water surface. Consider forces on it. Impose the condition that tangential force will be zero.
I hope you can proceed now.
Okay, although not provided in the question, I am assuming that you are supposed to find coefficient of kintic friction. (Your attempt at the solution tells me that.)
You erred in this statement:
Note that, torque produced by F is not the one which is producing deceleration in the disc (It...
Consider a stick of length L. Where will its centre of mass be? Mid-point, right? This is at a distance of L/2 from either end.
Similarly in the given problem, we have water column of height, say h. So, centre of mass will be at a height of h/2 .. isnt it? {You have studied centre of mass...
Hmm.. gone to sleep? Hope, you will solve it in your dreams!
Anyways, if in case you are not able to, to make you start your day happily, here is the soltion: (Both methods are almost same.)
Method I:
Let bottom of the cylinders be our reference line for height. Let h1 = 1.56 m, h2 = 0.854 m...
Wait, I am a bit confused about the figure.
First thing, your wedge is a right-triangular prism, of some thickness, t.
The triangular face has sides L and h. (None of these are hypotenuse of the triangle.)
Now let us consider this triangular face on the plane of the paper (such that...
If that is the case, then don't you think, your following formula doesnt hold here: (Why?)
Simply because, it is a thin rod (of thickness dx) and length -- that can be obtained using similar triangles (or trigonometry). So, you should use moment of inertia for a thin rod (about its centre)...
No no, you dont need to go for Bernoulli.
Note that as liquid is enetring/leaving the cylinder, mass of the liquid in it doesnt remain constant. So, the formula you have used for change in potential energy is wrong.
Instead, use \DeltaPE = (mgh)final - (mgh)initial, for each of the cylinders.
It is not 1 - (V'/V) .. rather it is 1 - (V/V'). (Note that V/V' = 0.9259, see your second last post.)
Now 1 - (V/V') = (V' - V)/V'.
V' = Final Volume of the fish after inhaling (i.e., [i]expanded body volume)
V' - V = Final Volume of the fish (after inhaling) - Initial Volume of the fish...
Really?? If V' is total volume after inhalation, and V before it.. how come V'/V is less than 1?? After inhalation, volume of the fish should increase isnt it??
If you are trying to use some formula directly, it is the wrong formula.
If you have drawn free body diagram and then tried to get the formula, you have missed something. Show your attempt.
Okay one way could be:
Assume final volume (after expansion) be y, and the volume of air inhaled be x. You need to find x/y.
Set up relations from given data.
You can neglect those small triangles, isnt it? 1 integral should suffice. (Well, what is the width of the base of the wedge? And, is it a right-angled wedge?)
On the other hand, I believe, if you know that centre of mass of a circle is at its centre, you do NOT need to worry about integration: addition (or, 'subtraction' as the hint says) will suffice!
HINT: The portion that has been cut out, you can assume that a disc of negative mass was...