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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Physics (PH)
Consider the pendulum of Figure 7.4, suspended inside a railroad car that is being forced accelerate with a constant acceleration a. (a) Write down the Lagrang
Consider the pendulum of Figure 7.4, suspended inside a railroad car that is being forced accelerate with a constant acceleration a. (a) Write down the Lagrangian for the system and the equati of motion for the angle d. Use a trick similar to the one used in Equation (5.11) to write the combinatio of sin o and cos as a multiple of sin(d + B). (b) Find the equilibrium angle o at which the pendulu can remain fixed (relative to the car) as the car accelerates. Use the equation of motion to show th this equilbrium is stable. What is the frequency of small oscillations about this equilibrium positior (We shall find a much slicker way to solve this problem in Chapter 9, but the Lagrangian method do give a straightforward route to the answer.)
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Dear Debankur,
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