A hinge is a mechanical bearing that connects two solid objects, typically allowing only a limited angle of rotation between them. Two objects connected by an ideal hinge rotate relative to each other about a fixed axis of rotation: all other translations or rotations being prevented, and thus a hinge has one degree of freedom. Hinges may be made of flexible material or of moving components. In biology, many joints function as hinges like the elbow joint.
Homework Statement
The following structure,A force F is applied to the right hinge.If the mass of the rods are equal ,and the length of the rod is equal,the intial angle is also equal to 90 degrees (a square),What is the intial acceleration of leftmost hinge ?
Homework Equations
Coordinate...
In a recent election, the ratio of the number of voters for the Purple Party to the
number of voters for the Pink Party was 15:16 and the Pink Party won the
election. Had 300 more people voted for the Purple Party and 200 fewer people
voted for the Pink Party, the ratio would have been 11:10 and...
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Hello-
I am trying to determine the dynamics of this linearly-damped hinge. Assuming that:
v(0) = 0
damping constant = b
door has mass = m
I was able to determine that:
∑Fx = -Fd * cos(45-θ/2) + Rx = m*dvx/dt
ΣFy = -Fd * sin(45-θ/2) - Fg +...
Homework Statement Is it possible to find the VA , VB and VC without ' breaking ' the beam into 2 parts ?
Homework EquationsThe Attempt at a Solution
Here's my working , i gt
Moment about A = 10(1) -VB(2) -VC(4) +5(3)(4 + (3/2) ) = 0 Hence , 92.5-2VB -4VC= 0
moment about B = VA(2) -10-VC(2)...
This is a problem posted by a member on Brilliant.org (https://brilliant.org/problems/acceleration-of-hinges/). I found one way to solve the problem, but it is really long, and i am looking for some different solutions. The problem is-
Four similar rods of uniform density are connected with...
1. In the attached imjage, the centre of gravity of an open door acts at G equal to 255N;
a) Determine the x,y,z, components of reaction at the hinge A in equilibrium
b) Determine the force along CB
Little stuck with this problem, obviously this falls under resolving forces. I assumed Az,Ay = 0...
Hi all,
Having trouble with the following question, trying to work out the FBD and forces. I am fine with working out the max tensile and compressive forces however I can't get that far as the two hinges are throwing me off. As I understand, the moment at the hinges should be 0, is this...
Homework Statement
Door weighs 20kg, and is held open by force P at doorknob opposing 15kg weight attached at C and wrapped around pulley. Theta is 90 degrees, so door is on x axis. Find torques on hinges A & B[/B]Homework Equations
P is 118.8N in -k direction, which agrees with answer in...
Homework Statement
Homework Equations
Fluid Mechanics
The Attempt at a Solution
Lets start with the easy part:
The pressure of the air is constant so the pressure will act as if it's a concentrated force on the center of gravity of the gate.
F = PA = (10,000Pa)(.3)(.6)=1800N
The moment...
Homework Statement
Consider a do or, hanging on two hinges (s ee figure). The do or is L tall and
d wide, and the hinges are placed at heights L/4 (point A) and 3 L/4 (point
B) from the floor. The door is uniform, and so its centre of mass is in the
middle of the door (point C)
b) What is the...
Can someone tell me what is the best angular velocity to be exerted on the door for it to close automatically if I were to design a door with spring hinges.
How do we find out that the moment of inertia about the hinges of a door with a width w is I=M w2/3.
I find it like this in a book and also in table for the moments of inertia of homogeneous rigid objects with different geometries (about a long thin rod with rotation axis trough end).
Thank you.
Homework Statement
A door of width 1.00 m and height 2.30 m weighs 272 N and is supported by two hinges, one 0.40 m from the top and the other 0.40 m from the bottom. Each hinge supports half the total weight of the door.
Homework Equations
Torque = rFsin(theta)
The Attempt at a Solution
I...
A door of width 1.02 m and height 2.05 m weighs 289 N and is supported by two hinges, one 0.600 m from the top and the other 0.600 m from the bottom. Each hinge supports half the total weight of the door.
Assuming that the door's center of gravity is at its center, find the horizontal...
Thank you all for taking the time to help me out. Here's what I'm given:
Homework Statement
A solid door of mass M = 19 kg and width = 128 cm is hit at a right angle by a mud ball of mass m = 0.6 kg, which, as Fig. 10–44 shows, hits the door at the edge with speed v = 16 m/s and sticks...
Homework Statement
A door with weight Mg has a horizontal width W and a vertical length L. There are two hinges that hold up the door along the right side of the door. The top hinge is a distance d from the top of the door and the bottom hinge is a distance d from the bottom of the door...
Homework Statement
A door 2.30 m high and 1.30m wide, has a mass of 13.0 kg. A hinge 0.40 m from the top and another hinge 0.40 m from the bottom each support half the door's weight. Assume that the center of gravity is at the geometrical center of the door, and determine the horizontal and...
A door 2.30m high and 1.30m wide,has a mass of 13.0kg. A hinge 0.40m from the top and another hinge from the bottom each support half the door`s weight. By assumming that the center of gravity is at the geometrical center of the door,determine the horizontal and vertical force components exerted...
I like it if someone could show me why a door naturally swings if the hinges are not properly aligned. I am not sure, but it might have been when a door is hanging on only one hinge that it naturally swings.
Thank you.
A 100 Newton table surface (table without the legs) is attached to hinges in a wall. a chair hold the table surface in a horizontal position . The chain (chain forms a hypoteneus with the table surface and the wall) is attached to position in the table surface 0.25m from the end of the table...
I'm having quite a bit of trouble with this problem. It seems easy, but I just can't seem to get the idea.
I'm able to calculate the vertical components of the forces by using the summation of forces in the y direction equal to zero. The horizantal components, I'm pretty sure I need to use...
torque/force problem - two door hinges - help anyone?
A large door of height - 2.1 m - along y-axis that extends vertically upward and width - 0.95 m - along x-axis that extends outward from the hinged edge of the door. A hinge at 0.30 m from the top and a hinge at 0.30 m from the bottom, each...