100 N block is on rough horizontal surface. If a horizontal force F=40 N is applied and the block just start slide. What is the value of the static coefficient.
Fap-Fs = 0
40-Fs = 0
Fs = 40N.
u = Fs/Fv = 40 / 100 = 0.40 = Coefficient of static friction.
To determine the value of the static coefficient (μs), which quantifies the resistance between two surfaces in contact, we need to consider the conditions under which the block just starts to slide.
First, we need to understand the relationship between the applied force (F) and the limiting frictional force (FL) acting on the block. The limiting frictional force is given by FL = μs * N, where N is the normal force acting on the block.
In this case, the applied force (F) that just starts the block to slide is equal to the limiting frictional force (FL). Therefore, we have F = FL.
Since the block is on a rough horizontal surface, the normal force (N) acting on the block is equal to its weight (W), which is given by W = m * g, where m is the mass of the block and g is the acceleration due to gravity.
By substituting the values, we can rearrange the equation as follows:
F = μs * N
40 N = μs * (m * g)
Now, assuming we have the mass of the block, we can determine the value of the static coefficient (μs) by rearranging the equation:
μs = (F) / (m * g)
= (40 N) / (m * g)
So, to find the value of the static coefficient (μs), you would need to know the mass of the block and the acceleration due to gravity.