October 2014

Angle between two chords

Problem
Chords AB and AC are drawn on a circle of radius 10 inches. Find the angle between the chords if the arc BAC is 28 inches long.
 

009-chords-and-arc.gif

 

Deflections Determined by Three-Moment Equation

Problem 859
Determine the value of EIδ under P in Fig. P-859. What is the result if P is replaced by a clockwise couple M?
 

859-overhang-with-concentrated-load.gif

 

01 Minimum length of cables linking to one point

Problem 01
A 5-m line AD intersect at 90° to line BC at D so that BD is 2 m and DC = 3 m. Point P is located somewhere on AD. The total length of the cables linking P to points A, B, and C is minimized. How far is P from A?
 

01-lines-minimum-length.gif

 

Rate of change of surface area of sphere

Problem
Gas is escaping from a spherical balloon at the rate of 2 cm3/min. Find the rate at which the surface area is decreasing, in cm2/min, when the radius is 8 cm..