Static and Kinectic Problem Help

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To solve the problem of a worker pulling a box at a 45-degree angle, first break down the applied force into its x and y components. The x-component must exceed the force of static friction to initiate movement. Since no specific values are provided, keep the variables in your calculations. Once the necessary x-component is determined, reconstruct the original force using that value. This approach will help clarify the solution process.
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Homework Problem

A Worker is pulling a box and applies a force at an angle of 45 degress to the horizontal, how large must the force be to move the box

FBD:

n
| /
| / <----Angle in between is 45 degrees
O ------F cos 45
|
|
mg

:confused: Please help, confused about how to solve this problem
Thanx in advance
 
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Well since they didn't give you any values (I assume), you are going to leave everything as variables. Break the force down into components first, find the component in the x-direction necessary to be greater than the force of static friction, then rebuild your original force knowing that value.

Try it and post when you get stuck.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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