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## Homework Statement

what is the angle the force should apply in order to be box number 1 in static position and box number 2 move

## Homework Equations

F=ma

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- Thread starter rashida564
- Start date

- #1

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what is the angle the force should apply in order to be box number 1 in static position and box number 2 move

F=ma

- #2

gneill

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- #3

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- #4

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box 1 has mass of m1

box 2 has mass of m2

box 2 has mass of m2

- #5

gneill

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What constraints are there on the magnitude of force F? There will likely be a minimum magnitude of force F that can work for some particular angle. For some sufficient force F It is possible that there will be a range of angles that will work. Are you meant to find the minimum force or the range of angles?

If this problem was given as an exercise for a course, I find it hard to believe that it would be so poorly structured. How was this problem supplied to you? Can you provide an image of the problem in its original form?

- #6

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m1 and m2 start from rest.

they don't give me the magnitude of force.

they don't give me the magnitude of force.

- #7

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Sorry, but the original picture was written in Arabic.

- #8

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- #9

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can any one help me

- #10

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You have to apply Newton's 2nd law to for each body to make 2 equations for each body:1 for forces on the x-axis and 1 for forces on the y-axis. But be careful these equations can be coupled in various ways since the normal forces that will appear in the y-axis equations, will also appear in the x-axis because they are responsible for the friction forces acting on the x-axis.

You got to be more careful on the forces on the y-axis. I see one of your equation is ##F_n=F_g-F\sin{\theta}## where ##F_g=m_2g## I suppose. This is the normal force that the m2 body applies to the m1 body. So the friction acting on the m2 body in the x-axis should be ##n_kF_n## so the equation for the m2 body in the x-axis should be ##F\cos{\theta}-n_k(m_2g-F\sin{theta})=m_2a_2##. More or less there are the two equations for the m2 body.

Now work your way on making the equations for the m1 body, 1 in x-axis and 1 equation in y-axis.

- #11

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- #12

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Since all starts from rest, you only need to get mass 2 to start moving while mass 1 stays still. That means you only need to overcome static friction on the one and not on the other. Kinetic friction does not enter into the equations at all.

Further, the actual acceleration is irrelevant; it can be so small as to be effectively zero,

Your equations are confusing because there are two normal forces but you only have one Fn symbol. When you correct the friction you will have two static friction forces, but they still need distinct labels.

You have an equation Fn+Fcos(θ)-Fg=0. That makes no sense since Fn is vertical and the other two are horizontal.

Posting working as an image makes it hard to make comments. Please take the trouble to type your working in so that others can quote individual lines. Images are for diagrams and textbook extracts.

As Delta

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