Question

Question 4 5 pts The following scenario shows a woman military pressing a lever that is supporting a man. The man's mass is 90 kg and he is located 2.1 meters away from the pivot point. Answer the following questions below Force of Woman 2.1 m a) What is the approximate moment (or torque) due to the weight of the man? b) The woman is capable of holding 60 kg above her head. If she pushes at an angle of 45 degrees below the horizontal how far away would she have to stand to support the level from falling? un

Answer 1

here,

mass of man , m1 = 90 kg

x = 2.1 m

a)

the approximate moment of torque due to the weight of man , T1 = m1 * g * x

T1 = 90 * 9.81 * 2.1 N.m = 1854.1 N.m

b)

let the distance of Woman from the pivot point be s

equating the torques

T1 = T2

T1 = m2 * g * s * sin(45)

1854.1 = 60 * 9.81 * s * sin(45)

solving for s

s = 4.45 m

the distance of woman is 4.45 m