i i calculuated the magnittude for p with x decreasing from 750 mm to 0 the seco

Question

i i calculuated the magnittude for p with x decreasing from 750 mm to 0 the second part part says ing appropriate smaller increments determine the maximum calue of P and corresponding value of x i need help with this and also i want you to do the work and tell me what X and P will be

the position of the 10 kg rod AB is controlled by the block shown which is slowly moved to the left by the force P. neglecting the effect of friction, write a computer program that can be used to calculate the magnitude P of the forece for values of x decreasong from 750 mm to 0 isng 50 mm increments using appropriate smaller increments determine the maximum value of P and the corresponding calue of X i i calculuated the magnittude for p with x decreasing from 750 mm to 0 the second part part says ing appropriate smaller increments determine the maximum calue of P and corresponding value of x i need help with this and also i want you to do the work and tell me what X and P will be

Explanation / Answer

the force on the block due to AB = F which is at D and perpendicular to AB
let AD = L, and angle = tan-1(0.4/x), we have L = (0.42 + x2)

for the block, Fx = Fsin - P = 0, or F*(0.4/L) = P, F = PL/0.4

for the rod AB, MA = F*L - mg*0.5*cos = 0, FL = 0.5mg*x/L, FL2 = 0.5mgx

so PL3/0.4 = 0.5mgx = 0.5*10*9.8x = 49x

P = 19.2x/(0.42 + x2)3/2

use dP/dx = 0 to find Pmax = 46.2 N at x = 0.4/2 = 0.283 m

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