Physics....Center of Gravity and Rigid Objects in Equilibrium?

Question

A woman who weighs 5.04 x10^2 N is leaning against a smooth vertical wall, as the drawing shows.
Has a picture of a wall leaning against a wall at a right angle. The angle is 60 degrees. From her feet to her stomach the distance is 1.10m and .440 m above her stomach to her shoulders.
a) Find the force FN (directed perpendicular to the wall) exerted on her shoulder by the wall.
(b) Find the horizontal component of the force exerted on her shoes by the ground.
(c) Find the vertical component of the force exerted on her shoes by the ground.

does anyone know how to start this problem

Answer 1

Start by drawing a free body diagram of the forces involved. You have the woman making a triangle with the wall, angled at 60deg to the horizontal ground. Her weight, W, (assumed to act at her stomach) acts vertically. There is a horizontal force of her shoulder on the wall. At her feet is a vertical force of the ground holding her up and a horizontal force to keep her from sliding away from the wall.

To find the force on the wall (Fn), you need to sum the moments (the force * distance from the rotation point) about her feet:
W*1.10 cos 60 - Fn*1.54 sin 60 = 0, or
Fn = 504*0.55/1.33 = 208.4N, acting from the wall into her shoulder (assume left to right).

To find the other forces, you need to sum the vertical forces and the horizontal forces equaling 0.

There are two horizontal forces, her shoulder on the wall and her feet on the ground, so the horizontal force of her feet on the ground is equal to the force on the wall, 208.4N, acting opposite Fn, assuming right to left.

There are two vertical forces, her weight and the ground on her feet. So, the vertical force of the ground on her feet is equal to her weight, 504 N, acting upwards.

Hope this helps.

Answer 2

If 2 balanced forces act upon an merchandise, you could end that no action will take place. Ex a million: think of somebody putting a e book on a table. The table pushes up on the e book with the suitable comparable stress because of the fact the stress of gravity pulling the e book down. because of the fact of this the table would not give way from the e book and why the table doesnt elevate the e book up into the sky. Ex 2: 2 all of us is pushing on a field from opposite instructions. in the event that they push with the suitable comparable stress, the forces will cancel one yet another out and the field won't circulate in any respect.