The discussion focuses on how the position of the center of mass (CM) affects the acceleration due to gravity (g) in different types of pendulum bobs: a solid sphere, a hollow sphere, and a sphere half-filled with liquid. Participants explore how the distribution of mass in these bobs influences their CM, which in turn affects the pendulum's behavior. The question emphasizes the need to understand the relationship between mass distribution and gravitational acceleration. The inquiry suggests that while g is constant, the effective position of g may vary based on the pendulum's design. Understanding these dynamics is crucial for analyzing pendulum motion in physics.
#1
rem
7
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Homework Statement
how will the position of g incase of a simple pendulum change in the following 3 cases
1.the bob being a hollow sphere
2.half filled with liquid
3. normal sphere.
What is g? Typically it is acceleration due to gravity, but that doesn't seem to suit this question..
#3
rem
7
0
in the 3 cases i.e.
1.solid sphere
2.hollow sphere
3.a sphere half filled with some liquid
where will the center of mass be situated and the spheres are assumed to be made of same material
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...
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...
This problem is two parts. The first is to determine what effects are being provided by each of the elements - 1) the window panes; 2) the asphalt surface. My answer to that is
The second part of the problem is exactly why you get this affect.
And one more spoiler: