When an elevator moves upwards with an acceleration

AI Thread Summary
When an elevator accelerates upwards, the tension in the cable can be calculated using the equation T = mg + ma, where T is tension, m is mass, g is gravitational acceleration, and a is the upward acceleration. Conversely, when the elevator accelerates downwards, the tension can be expressed as T = mg - ma. The discussion emphasizes the importance of drawing Free Body Diagrams to visualize forces acting on the elevator. It clarifies that the normal force is not the same as tension in this context, as tension specifically refers to the force in the cable. The participant successfully solved the problem with the correct equations after seeking assistance.
Crusaderking1
Messages
158
Reaction score
0

Homework Statement



When an elevator moves upwards with an acceleration, what is the equation for tension?

Is it T+W =ma?

When an elevator moves downwards with an acceleration, would the equation be

T+W=-ma?

Thats all. Thanks.

I really can't figure it out. All I know is that the equations T-mg=ma (for upwards) and T-mg=-ma (downwards) are wrong.



Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org


Draw a Free Body Diagram for each case. Use Fnet=ma .
 


N = mg + ma if the elevator has an upward acceleration
N = mg - ma if the elevator has a downward acceleration

Would tension be the same as normal force in this situation?
 


For this problem, what is the normal force being used for?

Draw a Free Body Diagram for each case. Use Fnet=ma .
 


SammyS said:
For this problem, what is the normal force being used for?

Draw a Free Body Diagram for each case. Use Fnet=ma .

I got the problem right. Thanks for your help!
 
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