A staging that weighs Wstaging supports a
painter weighing 560 N. The reading on the
left scale is 610 N and the reading on the right
scale is 460 N.
What is the weight of the staging?
Answer in units of N.
wouldn't the total weight be 1070?
subtract the painters weight...and...
To find the weight of the staging, we need to consider the forces acting on it. There are two forces: the weight of the painter (560 N) acting downward and the support force from the staging acting upward.
Let's denote the weight of the staging as Wstaging. Based on the given information, we can set up the following equation:
Weight of the painter (560 N) = Support force from staging (Wstaging)
Next, we need to take into account the readings on the left and right scales. The scale measures the force exerted on it. So, on the left scale, the reading is 610 N, which represents the combined force of the painter's weight (560 N) and the support force from the staging (Wstaging):
Reading on the left scale (610 N) = Weight of the painter (560 N) + Support force from staging (Wstaging)
Similarly, on the right scale, the reading is 460 N, which represents only the support force from the staging:
Reading on the right scale (460 N) = Support force from staging (Wstaging)
Now we have a system of two equations with two unknowns. We can solve this system of equations to find the weight of the staging (Wstaging).
Subtracting the second equation from the first equation:
Reading on the left scale (610 N) - Reading on the right scale (460 N) = Weight of the painter (560 N) + Support force from staging (Wstaging) - Support force from staging (Wstaging)
150 N = 560 N
Therefore, the weight of the staging, Wstaging = 150 N.
Hence, the weight of the staging is 150 N.