Circular Motion: Find Tension at Top of 1.11kg Disc

AI Thread Summary
To find the tension at the top of a 1.11 kg disc whirled in a vertical circle with a radius of 0.680 m and speed of 8.76 m/s, centripetal force must be considered. The forces acting at the top include the gravitational force and tension, both directed downwards. The equation F + mg = Acp is used to relate these forces, where Acp is the centripetal acceleration. It is emphasized that drawing a free body diagram can clarify the relationships between forces and acceleration in circular motion. Understanding these concepts is crucial for solving the problem accurately.
electricheart
Messages
6
Reaction score
0

Homework Statement



A 1.11 kg disc is whirled in a vertical circle with radius 0.680m about a fixed point. Find the tension at the top if the speed at the top is 8.76 m/s.

Homework Equations



F= ma
F= m* Acp
Acp= m(w^2*r)

3. The Attempt at a Solution
I figured centripetal force was acting on the mass so I used the equation w=v/r to find omega(w), then I found the Acp. But that answer is incorrect. If at the top of a circle will the tension be the same Acp.
 
Physics news on Phys.org
At the top of the circle, the forces acting are the normal reaction of the 1.11kg mass and the tension. Both acting downwards. The resultant of those two is the centripetal force mv2/r
 
So F + M g = Acp.
Alright, thanks.
 
Centripetal force is not really a force at all, it is a mass*acceleration term.

You will get a much better understanding of this problem (as opposed to simply getting an answer quickly) if you draw a free body diagram and write Sum F = m*a where you recognize that for a body in uniform circular motion, a = - r * omega^2 * er, a vector pointing towards the center of the circle.
 
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...
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...
Back
Top