Rotating Pendulum: Is This Eqn Correct?

In summary, the equation for a rotating pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. The length of the pendulum directly affects its period, with longer pendulums having longer periods. However, the equation is only accurate under ideal conditions and may not apply to all types of pendulums. It can be derived using the principles of simple harmonic motion and circular motion.
  • #1
Prabs3257
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4
Homework Statement
Rod of mass M and length 2R can rotate about an Axis passing through O in vertical plane a disc of mass M and radiusR/2 is hinged to the other end P of the rod and can freely rotate about p when the disc is at the lowest point both rod and disc has angular velocity w if rod rotates by maximum angle 60 degree with downward vertical find w in terms of r and g (all hinges are smooth)
Relevant Equations
Conservation of energy
IMG_20190823_215039.JPG
is this eqn correct
 

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  • #2
Please turn the equation so that it can be read horizontally. Also, please explain what each term in the equation is supposed to represent. Then perhaps we will be able to tell you if it is correct and if it isn't, we will be able to point out where you went wrong. Writing the equations in LaTeX is encouraged and will be of great help.
 
  • #3
Leave it i got the answer but thanks for your time 😊
 

1. What is a rotating pendulum?

A rotating pendulum is a physical system that consists of a mass attached to a string or rod and is free to rotate in a circular motion around a fixed point. It is used to study the laws of motion and demonstrate the concept of angular momentum.

2. How does the equation for a rotating pendulum work?

The equation for a rotating pendulum is based on the principles of conservation of energy and angular momentum. It takes into account the mass, length, and angular velocity of the pendulum to calculate its motion.

3. Is the equation for a rotating pendulum correct?

The equation for a rotating pendulum is derived from fundamental physical laws and has been extensively tested and verified by experiments. Therefore, it is considered to be a correct representation of the motion of a rotating pendulum.

4. What are the assumptions made in the equation for a rotating pendulum?

The equation for a rotating pendulum assumes that there is no external force acting on the pendulum, the string or rod is massless, and there is no air resistance. It also assumes that the pendulum is rotating in a vacuum.

5. Can the equation for a rotating pendulum be applied to real-world systems?

Yes, the equation for a rotating pendulum can be applied to real-world systems such as a Foucault pendulum or a simple pendulum. However, in some cases, the equation may need to be modified to account for additional factors such as friction or air resistance.

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