A house address sign is hung from a post with a light wieght rod. If the sign weighs 4.5 N, what is force in the chain?
There is a 40 degrees.
To determine the force in the chain, we first need to understand the forces acting on the sign. In this situation, there are two forces involved: the weight of the sign and the tension force in the chain.
The weight of the sign is given as 4.5 N, which means it exerts a downward force of 4.5 N due to the force of gravity.
The tension force in the chain can be determined by considering the equilibrium of forces acting on the sign. In equilibrium, the sum of the forces in both the vertical and horizontal direction is zero.
First, let's consider the vertical forces. The weight of the sign acts vertically downward, while the tension force in the chain acts vertically upward. These two forces must balance each other in equilibrium.
Now, we can find the tension force in the chain by using trigonometry. Since we know the angle between the chain and the horizontal direction (40 degrees), we can decompose the weight of the sign into its vertical and horizontal components. The vertical component of the weight is given by:
Vertical component = Weight * sin(angle)
= 4.5 N * sin(40 degrees)
The tension force in the chain is equal to the magnitude of this vertical component, as it must exactly balance the weight of the sign:
Tension force = Vertical component
= 4.5 N * sin(40 degrees)
Calculating the above expression will give you the force in the chain.