Using Hooke's Law Equation, k = F / displacement,
k = 720N / 0.15m
k = 4800N/m
When a 60kg mass is hung on it,
F = ma = 60kg x 9.98m/s^2
F = 598.8N
Again, using Hooke's,
displacement = F / k
displacement = 598.8N / 4800N/m
displacement = .12475m
displacement = 12.475cm
Step 1
Write out the information you already know:
Fapp= 60 N [right] (or whichever direction the force applied is), therefore
Fx= -60 N [right]
x= 1.5 m
Step 2
Use the equation:
Fx= -kx
-60= -k(1.5)
k= 40 N/m
6.3
The spring constant is 263.6363... repeating Newtons per metre.
Spring constant of an elastic material is the force applied per unit extension.
Just divide the force by the amount of stretch.
the relation between force (F) and elongation (x) is F = kx where k is the spring constant. The stiffer the spring, the higher the force needed to get a certain elongation; or, for a given force, the elongation will be less for a stiffer spring
6.3
The spring constant is 263.6363... repeating Newtons per metre.
Spring constant of an elastic material is the force applied per unit extension.
24.5 newtons per meter
Just divide the force by the amount of stretch.
The ratio of force applied to how much the spring streches (or compresses). In the SI, the spring constant would be expressed in Newtons/meter. A larger spring constant means the spring is "stiffer" - more force is required to stretch it a certain amount.
It takes a larger force to compress or pull a spring the same distance as a spring with a smaller spring constant. This is shown in Hooke's law. x=F/k k---is the spring constant F---is the force applied to the spring x is the distance the spring has been compressed
the relation between force (F) and elongation (x) is F = kx where k is the spring constant. The stiffer the spring, the higher the force needed to get a certain elongation; or, for a given force, the elongation will be less for a stiffer spring
Hooks law: F=-x*K F=Force x=distance = 0.5m K=constant F=mass*9.81 = 30*9.81=aaaa [N] aaa = -0.5 * K => K = something
The constant spring stiffness formula is the force applied to the spring equal to the stiffness times the distance it moved. F=kx. Depending on where your axis are, it could be negative.
There is more force applied to the top of the spring than the bottom, because the whole spring is hanging from the top, but only a small part is hanging from near the bottom. The larger force stretches the spring more.
That is called the Spring Constant. It describes the amount of deformation of the spring, either stretch or compression, in units of distance deformed for each unit of force applied.