Need help calculating the minimum magnitude force to start the crate moving A 12-kg crate rests on a horizontal surface and a boy pushes on it with a force that is 30° below the horizontal. If the coefficient of static friction is 0.40, the minimum magnitude force he needs to start the crate moving is: 0 F sin 0 fk 0 F cos 0 F N mg

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Need help calculating the minimum magnitude force to start the crate moving
A 12-kg crate rests on a horizontal surface and a boy pushes on it with a force that is 30° below the
horizontal.
If the coefficient of static friction is 0.40, the minimum magnitude force he needs to start the crate moving is:
0
F sin 0
fk
0
F cos 0
F
mg
Transcribed Image Text:Need help calculating the minimum magnitude force to start the crate moving A 12-kg crate rests on a horizontal surface and a boy pushes on it with a force that is 30° below the horizontal. If the coefficient of static friction is 0.40, the minimum magnitude force he needs to start the crate moving is: 0 F sin 0 fk 0 F cos 0 F mg
Expert Solution
Step 1

Consider the free body diagram for crate as follows:

Physics homework question answer, step 1, image 1

Write the balanced force equation for vertical direction.

N=mg+Fsinθ                ...... (1)

Write the balanced force equation for horizontal direction.

f=FcosθμN=Fcosθ

 

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