Solving Statics Questions with Different Units

[hjkklm]

The units are different.
One is the force unit, and one is the length unit.
Then how to find the h?

Question is attached in the file

thanks

 

[Simon Bridge]

Please provide your best attempt so far - that way we can give you the help you personally need.

 

[hjkklm]

I intend to find the all forces and then find the length through the force quantity.
I will find the forces component firstly. x-component=150cosθ N (h cm), y-component=150sinθ N (40cm)
150cosθ N= 170N <----but it is math error or no solution

Then I can't find, help please.

 

[Simon Bridge]

... you tried to do too many steps at once.
Start by drawing free body diagrams for the collar and the weight - separately.
Don't forget the tension in the cable.

If the angle between the rod and the cable (off the collar) is A, then you can express the trig functions in terms of things you know: eg. tan(A)=40/h.

 

[rezeew]

for your question. In order to solve this problem, we need to first understand the concept of dimensional analysis. This means that we need to convert all of our units to a common unit before performing any calculations. In this case, we have two different units - force and length. To find the height (h), we need to use the relationship between force, length, and gravity, which is given by the equation F = mg*h, where F is the force, m is the mass, g is the acceleration due to gravity, and h is the height.

To solve this problem, we need to convert the force unit to the same unit as the length unit. For example, if the force unit is in Newtons (N) and the length unit is in meters (m), we can convert the force to the same unit as length by using the conversion factor 1N = 1kg*m/s^2. This means that we can multiply the force value by this conversion factor to get the force in terms of meters, which will then allow us to use the equation mentioned above.

Once we have both units in the same unit, we can then solve for h by rearranging the equation to h = F/(mg). This will give us the height in meters. It is important to note that when converting units, we need to be careful with the calculations and make sure to maintain the correct number of significant figures.

In summary, to find the height (h) when given different units for force and length, we need to use the relationship between force, length, and gravity and convert all units to a common unit before performing any calculations. Dimensional analysis is a useful tool in solving problems with different units and should always be used in scientific calculations. I hope this helps in solving your statics question.