F x Increase Decrease Remain the same f s Increase Decrease Remain the same F N
ID: 1589845 • Letter: F
Question
Fx
Increase
Decrease
Remain the same
fs
Increase
Decrease
Remain the same
FN
Increase
Decrease
Remain the same
fs, max
Increase
Decrease
Remain the same
If, instead, the box is sliding and is increased, does the magnitude of the frictional force on the box increase, decrease, or remain the same?
Increase
Decrease
Remain the same
In the figure, if the box is stationary and the angle between the horizontal and force is increased somewhat, do the following quantities increase, decrease, or remain the same?
Explanation / Answer
1) Fx:
writing the x component of the force Fx = F cos(theta).
Here the magnitude of the force F is constant but theta is increasing. We know that cos(theta) decreases with increase in theta. so Fx decreases.
2) fs:
The force of static friction increase with the requirement , here the requirement(i.e. Fx) is decreasing hence fs will decrease too.
3)FN
FN will depend on sin(theta) which increases with increase in angle theta, hence FN will increase.
4) fs max:
fs max depends on FN and mu_s and since mu_s is constant and FN is increasing, fs max will increase.
5) Yes because the normal force will be increasing hence mu_k times the normal force will increase and so as the friction force.
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