Finding angular acceleration of 2 masses on a rod

Then, use the torque equation to find the angular acceleration. In summary, the problem involves a rotating rigid rod with two attached particles and the goal is to find the angular acceleration when the rod is at a specific angle. The solution involves drawing a free-body diagram and using the torque equation.
  • #1
umdece4
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Homework Statement



A uniform rigid rod with mass Mr = 5.9 kg, length L = 2.9 m rotates in the vertical xy plane about a frictionless pivot through its center. Two point-like particles m1 and m2, with masses m1 = 5.7 kg and m2 = 1.8 kg, are attached at the ends of the rod. What is the magnitude of the angular acceleration of the system when the rod makes an angle of 42.7° with the horizontal?

Homework Equations



all i know is that I= 1/12ML^2

The Attempt at a Solution



I honestly don't know where to star, could anyone guide me towards the right way
 
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  • #2
Start by drawing a free-body diagram and identifying the forces on the rod.
 

1. What is angular acceleration?

Angular acceleration is a measure of how quickly an object's angular velocity is changing over time. It is expressed in units of radians per second squared (rad/s^2).

2. How is angular acceleration calculated?

Angular acceleration can be calculated by dividing the change in angular velocity by the change in time. The formula for angular acceleration is α = (ω2 - ω1) / (t2 - t1), where α is the angular acceleration, ω is the angular velocity, and t is time.

3. What is the difference between linear and angular acceleration?

Linear acceleration refers to the rate of change of an object's linear velocity over time, while angular acceleration refers to the rate of change of an object's angular velocity over time. Linear acceleration is measured in units of meters per second squared (m/s^2), while angular acceleration is measured in units of radians per second squared (rad/s^2).

4. How do you find the angular acceleration of two masses on a rod?

To find the angular acceleration of two masses on a rod, you will need to know the masses of the objects, their distances from the pivot point, and the net torque acting on the system. You can then use the formula α = (τ / I), where α is the angular acceleration, τ is the net torque, and I is the moment of inertia of the system.

5. What factors affect the angular acceleration of a system?

The angular acceleration of a system can be affected by several factors, including the masses of the objects, their distances from the pivot point, the net torque acting on the system, and the moment of inertia of the system. Other factors that may affect angular acceleration include friction, air resistance, and external forces acting on the system.

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