Mechanical Engineering - Engineering Mechanics - Discussion

Here, What is the meaning of "m"? Please explain.

P=me+c.

How to find the c value? Please explain.

As max efficiency.

= mechanical advantage/velocity ratio.
Here mechanical advantage will be maximum = 1/m.

If the law machine is p = mw+c maximum then MA is?

Can anyone answer this?

m is a constant here.

The formula of maximum efficiency in % is this :

Max efficiency =100 * max M.A./V.R.

What is the meaning of "m"? Please explain.

What is m here? someone please explain.

Law of machine gives the relation between effort applied (P) and load lifted (W). By conducting experiments, effort-load graph can be plotted in a graph as effort(P) in y-axis and load(W) in y-axis. A straight inclined line is obtained and the slope this line is a constant called 'm'. m=tan θ\', where θ\' is the angle of line with respect to x-axis. (In some texts 'm' is also referred as the coefficient of friction.) The line touches a point on y-axis. This point is taken as 'C'. From the equation of the line we get,

P = mW+C
When efficiency is maximum (Ideal machines) slope passes through the origin.
That means C=0 or P= mW.
Then we have mechanical advantage, M.A = Velocity Ratio, V.R.
M.A = W/P=W/(mW) =1/m.
Mechanical Efficiency = (1/m)/V.R.
That is Mechanical Efficiency =1/(mV.R).

What is 'm' here?