Determine the possible values for the magnitude

  • Thread starter Thread starter byeh2004
  • Start date Start date
  • Tags Tags
    Magnitude
AI Thread Summary
To determine the minimum force P required to keep an 8kg block stationary against a wall, it is essential to analyze the forces acting on the block. The force P, applied at a 50-degree angle, must counteract both the gravitational force and the static friction. The static friction is calculated using the coefficient of static friction (0.249) and the normal force, which is influenced by the vertical component of P. Setting up the equations correctly, particularly for the vertical forces, is crucial; the net force must equal zero for the block to remain stationary. A clear diagram of the forces will aid in visualizing the problem and deriving the correct formula.
byeh2004
Messages
1
Reaction score
0
Hw help please!

So the problem begans like this

A block of mass 8kg is pushed up against a wall by a force P that makes a 50 degree angle with the horizontal. The coefficient of static friction between the block and the wall is 0.249. Determine the possible values for the magnitude of P that allow the block to remain stationary.

They ask for the miniumum P that will allow the block to remain stationary but I'm not sure how to set it up.

We know that at Fsmax = UsN, and anything below it is Fs = F . But what exactly is F?

Fy = Psin50 - Fs - mg

Since its still stationary Fy is 0

Does F = Fsmin + mg?

if so 0 = Psin50 - (Fsmin + mg)

but when i plug in the values I get the wrong answer still

can anyone give me some tips? Thanks!
 
Physics news on Phys.org
It sounds to me like you have formulas but don't understand them. You need to understand a formula in relation to the context in which it applies.

Start by drawing a diagram of all the forces on the block. From that you should be able to deduce a formula to find the answer.

What are all the forces acting on the block? Assuming the applied force is just enough to ensure the block remains stationary, which forces are pulling the block downwards and which upwards?
 
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}...
Back
Top