Atwood machine problem (speed of mases after they have moved through 1.45 m)

AI Thread Summary
The Atwood machine problem involves a 2.50 kg mass and a 7.00 kg mass connected by a string over a pulley with a moment of inertia of 0.0652 kg m² and a radius of 11.3 cm. The system is released from rest, and the goal is to determine the speed of the masses after they have moved 1.45 m using the conservation of energy principle. The discussion emphasizes calculating both translational and rotational kinetic energy to find the initial and final energies. Participants are encouraged to visualize the setup and clarify the direction of mass movement upon release. The solution requires careful application of energy conservation concepts.
a.train12
Messages
2
Reaction score
0

Homework Statement


An Atwood machine has a mas of 2.50 Kg connected by a light string to a mass of 7.00 Kg over a pulley with a moment of inertia of 0.0652 kg m^2 and a radius of 11.3 cm. If the system is released from rest, what is the speed of the masses after they have moved 1.45 m? (Hint use conservation of energy, including translational & rotational kinetic energy.


Homework Equations





The Attempt at a Solution


I set E(initial)=E(final)
 
Physics news on Phys.org
Show a picture of the set up. At what direction will the masses move after releasing them from rest? How do you calculate the initial and final energies?

ehild
 

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

Atwood machine with variable mass
Replies
7
Views
3K
Infinite Atwood Machine (Morin Problem 3.3)
Replies
3
Views
5K
How Do You Calculate the Second Mass in an Atwood Machine Problem?
Replies
17
Views
9K
How to Calculate Masses and Acceleration in an Atwood Machine Problem
Replies
1
Views
1K
Frame of reference (non inertial/inertial) in an Atwood Mach
Replies
13
Views
3K
Half atwood machine with accelerating pulley
Replies
19
Views
7K
Moment of inertia and Atwood Machine
Replies
3
Views
4K
Example Problem in the book, why is tension ignored?
Replies
4
Views
2K
Atwood Machine: Energy & Work Homework Soln
Replies
2
Views
3K
Modified Atwood Machine Problem
Replies
1
Views
11K

Hot Threads

Recent Insights

Back
Top