Center of mass of right triangle, without calculus

AI Thread Summary
To find the center of mass of a right triangle without calculus, one can start by identifying a line that divides the triangle into two equal masses. The center of mass will lie along this line. By finding a second line that also divides the triangle into equal masses, the intersection of these two lines will determine the center of mass. This method relies on geometric principles rather than calculus. Understanding these concepts allows for a straightforward solution to the problem.
al_9591
Messages
12
Reaction score
0

Homework Statement


How can I find the center of mass of a right triangle, of height h, length a, and mass m, without using calculus?

Homework Equations


The Attempt at a Solution


I just need a hint on how to start please
 
Last edited:
Physics news on Phys.org
Hint: The CM is anywhere on a line splitting the triangle into two equal masses. If you can find a second such line, the CM will be at the intersection of the two lines.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Finding the center of mass of a piecewise function
Replies
5
Views
891
Finding the center of mass of a simple 2D shape
Replies
9
Views
3K
Help Me Solve My Diagram Problem: Calculating Center of Mass
Replies
8
Views
2K
Calculating Center of Mass in NH3 Molecule
Replies
4
Views
7K
Calculus 2 - Center of Mass and Pappus Centroid Theorem
Replies
1
Views
2K
Center of mass and momentum- A question about systems
Replies
25
Views
1K
Centroid of an isoceles triangle
Replies
1
Views
1K
Calculating the center of mass as an astronaut moves on a shuttle
Replies
5
Views
2K
Quick question about moment of inertia
Replies
21
Views
2K
Misunderstanding Work-energy theorem and center of mass properties
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top