CBSE Class 11-science Answered
derive the formula for motion of a single pendulum
Asked by shivam gupta | 12 May, 2012, 08:35: AM
Expert Answer
Rotational Method
pendulum variables
The pendulum is modeled as a point mass at the end of a massless rod. We define the following variables:
We will derive the equation of motion for the pendulum using the rotational analog of Newton's second law for motion about a fixed axis, which is ? = I ? where
- ? = angle of pendulum (0=vertical)
- R = length of rod
- T = tension in rod
- m = mass of pendulum
- g = gravitational constant
- ? = net torque
- I = rotational inertia
- ? = ?''= angular acceleration
?'' = ? g?R sin ? | (1) |
Answered by | 13 May, 2012, 08:04: PM
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