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Sagot :
Therefore, the maximum acceleration the plane can experience without the cup sliding off the table backwards is 0.30g.
What is the static friction?
A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across. When there is no relative motion between the object and the surface, static friction is a form of friction force that acts on the body. So, even when the body is moving, it can still act, but there shouldn't be any relative motion.
What is an example of a static friction?
Consider moving a large, hefty box across the floor. You exert increasing pressure until the box begins to slide. The box is maintained in place by the static friction force. The static friction force pushes back slightly when you push it.
Briefing:
The cup is not moving, therefore The cup has no net force. So, in the x direction, you have the following.
0 = ma - fs
Where an is the plane's acceleration less the static fiction force, and m is the mass of the cup. The static fiction force is zero because there isn't an inclination.
Fs = mus × m × g
Because mus is the coefficient of static friction (provided as 0.30), m is the mass of the cup, and g is gravity at the plane's altitude, rearranging the two equations and finding a should result in the desired result.
a = 0.30g
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