Metal plate leaning against a wall

In summary, a metal plate with a mass of 7kg and length of 1.6m is leaning against a frictionless wall at an angle of Phi. The foot of the plate is situated at a V-grooved gap with an angle of Theta and there are three normal forces: F(wall) at the top and F(L) and F(R) at the bottom. To find F(wall), torque is calculated about the bottom leg. To find F(L) and F(R), the equations F(net)(x) = F(LX) - F(RX) - F(wall) and F(net)(y) = mg - F(LY) - F(RY) are used. To find the minimum
  • #1
darkspy123
5
0

Homework Statement



A metal plate (with mass = 7kg and Length = 1.6m) is leaning against a frictionless wall and made an angle (Phi). The foot of the plate is made of circular edge that is situated at a V-grooved gap with angle (Theta). There are three normal force: F(wall) for the normal force at the top of the plate and F(L) & F(R) for the normal force at the bottom of the ladder.

Physics4.jpg


a) Find F(wall) if Theta is 120 degree and Phi is 10
b) Find F(L) and F(R) if Theta is 120 degree and Phi is 10
c) Find the minimum angle Phi for the plate to stand without sliding up if Theta is 150 degree.

Homework Equations


Torque(net) = 0
F(x)=0
F(y)=0

The Attempt at a Solution



a) I got F(wall) = 6.05N by doing torque about the bottom leg
b) I have
F net(x) = F(LX) - F(RX) - F(wall) so F(LX) = F(RX) + F(wall)

F net(y) = mg - F(LY) - F(RY) so mg = F(LY) + F(RY)

Torque (net about the tip of the plate) = [ (1.6m)*F(LX)*sin(80) + (.8)*mg*sin(10) ] - [ (1.6m)*F(LY)sin(10) + (1.6m)*F(RY)sin(10) + (1.6m)*F(RX)sin(80) ]

Now I'm stuck because i have 4 unknowns and three equations =(
 
Physics news on Phys.org
  • #2
any one?
 
  • #3
Use the given angle to calculate the components of FL and FR.ehild
 
  • #4
I'm so stupid lol. Thanks i got it now
 

FAQ: Metal plate leaning against a wall

How does the angle of the metal plate affect its stability?

The angle of the metal plate does not significantly affect its stability as long as it remains within a certain range. If the angle is too steep, the plate may slide down the wall. If the angle is too shallow, the plate may tip over backwards. However, within a certain range, the angle does not have a significant impact on the stability of the plate.

What factors contribute to the stability of the metal plate?

The stability of the metal plate is influenced by several factors, including the weight and distribution of weight on the plate, the friction between the plate and the wall, and the surface characteristics of the wall. Other factors such as wind or vibration can also affect the stability of the plate.

Can the metal plate be safely leaned against any type of wall?

The metal plate can be safely leaned against most types of walls, as long as the wall is sturdy enough to support the weight of the plate and has a relatively smooth surface. However, it is important to carefully assess the stability of the plate and the condition of the wall before leaning the plate against it.

What precautions should be taken when leaning a metal plate against a wall?

When leaning a metal plate against a wall, it is important to make sure that the surface of the wall is clean and free of any debris or bumps that could affect the stability of the plate. The plate should also be placed at a slight angle to distribute the weight evenly and prevent it from slipping down the wall. Additionally, it may be helpful to secure the plate to the wall with adhesive or other fasteners for added stability.

How can the stability of the metal plate be tested?

The stability of the metal plate can be tested by gently pushing on it in different directions to see if it wobbles or slides down the wall. If the plate feels unstable, adjustments can be made to its placement or additional measures can be taken to secure it to the wall. It is also important to periodically check the stability of the plate over time, as factors such as changes in weight or environmental conditions can affect its stability.

Similar threads

Force Acting on Hinge: 2744 N Torque on Beam Homework: Find Force on Hinge
Replies
6
Views
2K
How Do You Calculate Forces and Balance a Hanging Cafe Sign?
Replies
18
Views
3K
The leaning ladder problem using Newtonian mechanics
Replies
27
Views
3K
Ladder Leaning against wall -- find the coefficient of friction
Replies
5
Views
2K
Ladder on a wall held in place by a peg
Replies
3
Views
4K
A ladder against a wall problem
Replies
5
Views
2K
Flag pole finding horizontal force component at hinge.
Replies
1
Views
3K
Statics - finding a moment of a force in xyz plane
Replies
4
Views
6K
Ladder leaned against a wall; forces
Replies
11
Views
4K
Forces exerted on the ladder by the wall and ground
Replies
5
Views
7K

Hot Threads

Recent Insights

Back
Top