What is the time period of a pendulum on an inclined plane?

  • Thread starter Thread starter Abhishekdas
  • Start date Start date
  • Tags Tags
    Pendulum Period
AI Thread Summary
The discussion focuses on determining the time period of a pendulum suspended from a cart sliding on an inclined plane. The effective gravitational acceleration (geff) must be calculated, as the pendulum experiences gravity differently due to the incline. The equation T=2(pi)√(l/geff) is relevant, but the challenge lies in accurately finding geff in this scenario. Participants express confusion about deriving the time period for pendulums on inclines compared to standard pendulum cases. Understanding the direction of geff and its application is crucial for solving the problem effectively.
Abhishekdas
Messages
198
Reaction score
0
Period of a pendulum...

Homework Statement


A simple pendulum of length l is suspended from the ceiling of a cart which is sliding without friction on an inclined plane of inclination theta. What will be the time period of the pendulum?


Homework Equations


T=2(pi) root(l/geff)



The Attempt at a Solution


There is this concept of geff(g effective) which i don't know how to apply...So basically how to do this sum?
 
Physics news on Phys.org


when the (pendulum + cart)system moves along the inclined plane, they do not feel the effect of any gravity in that direction as if they were in free fall in the sliding direction.
so, what remains is the g component perpendiculur to the slide direction, which is your effective g in this case.
 


Ya...that is okay...for this sum...but in general how to find the direction of g(eff)...
I mean for some general cases there must be some way to find the time period using the general method ...ie showing that the a=-w^2*x or torque=-w^2(theta) for the system and then using T=2(pi)/w... For other cases i have done it many times...even for a normal pendulum(the commom derivation)...But i am not getting such a method for tilted pendulums...
 

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

Inclined plane problem
Replies
13
Views
1K
JEE solution wrong? (tempco of a clock)
Replies
14
Views
1K
The period of a simple pendulum
Replies
20
Views
2K
Foucault Pendulum at the North Pole
Replies
9
Views
2K
Derivation of time period for physical pendula without calculus
Replies
3
Views
2K
Finding the period of a pendulum in motion along a curve
Replies
8
Views
2K
Seeking advice on "simple" pendulum problem
Replies
27
Views
2K
Experiment to determine the time period of a pendulum
Replies
12
Views
2K
What Happens to a Pendulum's Period at 90 Degrees Inclination?
Replies
13
Views
4K
Spring pendulum with and without weight
Replies
1
Views
998

Hot Threads

Recent Insights

Back
Top