Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

determine the force p exerted on the twig g. note that there is a horiz…

Question

determine the force p exerted on the twig g. note that there is a horizontal line of symmetry for the handles, but no line of symmetry for the jaws. ans: 127.8 n

Explanation:

Step1: Take moment about point E

Sum of moments about point E, $\sum M_E=0$. The force at A and B create clock - wise and counter - clockwise moments respectively. Let's consider the distances from the points of application of forces to point E.
$20\times(88 + 21)-20\times21 - P\times(36 + 25)=0$

Step2: Simplify the moment equation

First, expand the left - hand side of the equation:
$20\times88+20\times21 - 20\times21- P\times61 = 0$
$20\times88=P\times61$

Step3: Solve for P

$P=\frac{20\times88}{61}$
$P = 127.87\approx127.8$ N

Answer:

127.8 N