Calculating Center of Mass of a Hollow Nose Cone

AI Thread Summary
To calculate the center of mass of a hollow nose cone, the formula is given as π&radic(h2+R2)hR/M, where R is the base radius, h is the height, and M is the mass. An alternative method involves suspending the cone from different points and marking the vertical lines created; the intersection of these lines indicates the center of mass. This approach can help in practical applications, such as determining fin placement for a rocket project. The discussion emphasizes the importance of accurately finding the center of mass for stability in rocket design. Understanding these methods is crucial for successful rocket construction.
mase5151
Messages
2
Reaction score
0
I am working on a rocket and need to find the center of mass of a hollow nose cone. Any help would be appreciated.
 
Physics news on Phys.org
If the "nose cone" is a cone with base radius R and height h, with mass M, then the center of mass is on the axis at distance π&radic(h2+R2)hR/M.
 
Here's an alternate way, if its any easier for you. Suspend the hollow nose cone from a chosen point (by attaching a string to any point of the cone) and there will be a vertical line (90 degress relative to the Earth). Remember where this vertical line is. Then choose a different suspension point. The center of mass is where these two vertical lines intercect. Look at the pic if it helps. And make sure to do this with the same "side" of the cone.
 

Attachments

Are you doing a math problem, or a lab?
 
thanks for the help. I am working on a big rocket project and needed to find the center of mass for each part so we can figure out where we need to locate the fins.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

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}...
View full post »

Similar threads

Identical cones rotating while in contact with each other
Replies
12
Views
1K
Calculate center of rotation of monocopter
Replies
17
Views
2K
Find the center of gravity of a combined cone and cylinder
Replies
7
Views
2K
Misunderstanding Work-energy theorem and center of mass properties
Replies
7
Views
2K
Calculate the speed and angle of the center of mass before a collision
Replies
3
Views
911
Motion of Sphere Rolling Down Rotating Cone
Replies
9
Views
2K
Center of mass acceleration for an inclined plane and mass m
Replies
18
Views
1K
Calculating the center of mass as an astronaut moves on a shuttle
Replies
5
Views
2K
Center of mass and momentum- A question about systems
Replies
25
Views
1K
Why Measure the Center of Mass from the Same Position After a Collision?
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top