2 Cross Products and Physics 2.1 Shut the Door Question 2.1) Suppose you pull on

Question

2 Cross Products and Physics 2.1 Shut the Door Question 2.1) Suppose you pull on a door with 100 N of force as shown below. How much force does the hinge exert on the door in response assuming that nothing breaks? What is the direction of the hinge's force on the door? Question 2.2) Suppose you push on the door with 100 N close it. You apply the force at a 30° angle to the plane of the door as shown below. How much force does the hinge exert on the door in response? Question 2.3) What is the direction and magnitude of the net force acting on the door?

Explanation / Answer

2.1)

Fpull = 100 N

since nothing breaks , the hinge apply same amount of force in opposite direction so as to make the net force 0

so Fhinge = Fpull = 100 N

direction : opposite to pull

2.2)

Fpull = 100 N

along the Y-direction

so Fhinge = Fpull Cos30= 100 Cos30 = 86.6 N

direction : opposite to pull

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