form.antibot { display: none !important; } You must have JavaScript enabled to use this form.

July 2014

Problem 05 | Elimination of Arbitrary Constants

Problem 5
Eliminate A and B from x = A sin (ωt + B). ω being a parameter not to be eliminated.

Problem 6
Eliminate the c₁ and c₂ from x = c₁ cos ωt + c₂ sin ωt. ω being a parameter not to be eliminated.

Let F be a function of several variables, say x, y, and z. In symbols,

$F = f(x, \, y, \, z)$.

The partial derivative of F with respect to x is denoted by

$\dfrac{\partial F}{\partial x}$

and can be found by differentiating f(x, y, z) in terms of x and treating the variables y and z as constants.

Problem 1
Show that the largest triangle of given perimeter is equilateral.

Problem 821
Find the moment of inertia about the indicated x-axis for the shaded area shown in Fig. P-821.

Problem
A circle of radius r rolls along a horizontal line without skidding.