- #1
songoku
- 2,470
- 386
- Homework Statement
- Please see below
- Relevant Equations
- Equilibrium
Thanks
AI Thread Summary
The discussion centers on understanding the correct vector diagram of forces acting on a hinge in static equilibrium. The force on the hinge has both horizontal and vertical components, with the horizontal component directed to the right to balance tension. The vertical component can be either upward or downward, but clarification is sought on why it should be downward in this scenario. The importance of considering resultant torque at different pivot points is emphasized for accurate analysis. The conversation also touches on the implications of replacing the hinge with a slider, which would require an external downward force to maintain equilibrium.
Thanks
- #2
- 7,253
- 2,740
Hint: What are the conditions for static equilibrium of such an object?
- #3
songoku
- 2,470
- 386
I get the hint. I need to consider resultant torque at different pivot.robphy said:
Thank you very much for the help robphy
- #4
Lnewqban
Homework Helper
Gold Member
- 4,072
- 2,311
If you replace that hinge with a slider, which is free to move up and down that wall, an external down force would be needed to counteract the moment that W induces about the point of connection of the cable to the trapdoor.
Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
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}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are;
Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction.
Must be LESS than 1 kg.
NO parachutes.
NO glue or Tape can touch the egg.
MUST be able to take egg out in less than 1 minute.
Grade A large eggs will be used.
Similar threads
Hot Threads
-
Torque biomechanics
- Started by Naucus
- Replies: 6
- Introductory Physics Homework Help
-
Work Done in slowly pulling a thread
- Started by Bling Fizikst
- Replies: 28
- Introductory Physics Homework Help
-
How do you calculate the pull of this piston?
- Started by vdance
- Replies: 27
- Introductory Physics Homework Help
Recent Insights
-
Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality
- Started by Greg Bernhardt
- Replies: 7
- Quantum Physics
-
Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect
- Started by Greg Bernhardt
- Replies: 11
- Quantum Physics
-
Insights What Exactly is Dirac’s Delta Function? - Insight
- Started by Greg Bernhardt
- Replies: 5
- General Math
-
Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight
- Started by Greg Bernhardt
- Replies: 1
- Special and General Relativity
-
Insights Fixing Things Which Can Go Wrong With Complex Numbers
- Started by PAllen
- Replies: 11
- General Math
-
Insights Fermat's Last Theorem
- Started by fresh_42
- Replies: 105
- General Math