You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F→AL at an angle phi relative to the horizontal. See the diagram below. The ladder has a length L and makes an angle of theta with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Part One: Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,theta,phi. Then use the following values to get a number for the magnitude of F→AL. theta = 29.5 degrees phi = 23.305 degrees x= 2.204 meters L = 7.6 meters m_Y= 82 kg m_L = 34.44kg
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F→AL at an angle phi relative to the horizontal. See the diagram below.
The ladder has a length L and makes an angle of theta with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible.
Part One:
Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,theta,phi. Then use the following values to get a number for the magnitude of F→AL.
theta = 29.5 degrees
phi = 23.305 degrees
x= 2.204 meters
L = 7.6 meters
m_Y= 82 kg
m_L = 34.44kg
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
