Simple Harmonic Motion , finding the time taken to travel an angular dispalcemnt

AI Thread Summary
To find the time taken for a pendulum to reach half its maximum angular displacement, the maximum angular displacement was calculated as 68.8 degrees, leading to a half displacement of 34.4 degrees. The angular velocity was derived using the formula sqrt(g/l), where g is 9.8 m/s² and l is 6 m. The initial attempt to divide the angular displacement by angular velocity yielded an incorrect result. Participants suggested expressing angular displacement as a function of time, indicating the involvement of a trigonometric function for the solution. The correct answer, as referenced in the textbook, is 4.1 seconds.
kingkong69
Messages
22
Reaction score
0
1. Homework Statement

Find the time taken to reach half the maximum angular displacement in a PENDULUM. Given that the bob hanging at rest was given an initial velocity of 2ms, and the length of the string is 6m.



2. Homework Equations
finding the angular velocity using sqrt.(g/l). where g is 9.8 and l is 6m.
maximum angular displacement with conservation of energy formulas.



3. The Attempt at a Solution

i found the maximum angular displacement and it is 68.8degrees using kinetic=potential energy. The question is half the maximum displacement so i took 34.4 degrees in radians, then i divided it by the angular velocity resulting in a wrong answer

The answer behind the book says 4.1s


Thanks any help is appreciated.
 
Physics news on Phys.org
The velocity is not constant.
What else could you do with the angle you found?
 
The speed is not uniform. To solve for the time, write the angular displacement as a function of time. (Hint: There'll be a trig function involved.)
 
got it, thanks a lot guys
 

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

How to prove that motion is periodic but not simple harmonic?
2
Replies
51
Views
3K
How Does a Spring Impact the Angular Frequency of a Pendulum?
Replies
15
Views
5K
How to know whether motion is simple harmonic motion or not?
Replies
17
Views
2K
Energy of particle in simple harmonic motion
Replies
13
Views
1K
Simple Harmonic motion of a Pendulum
Replies
1
Views
1K
Finding Parameters for Simple Harmonic Motion at t=1
Replies
1
Views
2K
The phase of a simple harmonic motion
Replies
5
Views
2K
Finding the time period of this System
Replies
14
Views
2K
Equation of shm for different positions
Replies
1
Views
1K
Initial velocity of bird landing on horizontal wire modeled as spring
Replies
7
Views
920

Hot Threads

Recent Insights

Back
Top