Solving Torque/Axel Problem: Angular Acceleration & Velocity

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In summary, the conversation discusses the problem of a thin, uniform bar with small balls attached to its ends, supported by a frictionless axle. The right-hand ball becomes detached and falls off, while the other ball remains attached. The conversation prompts to find the angular acceleration of the bar just after the ball falls off and the angular velocity of the bar as it swings through its vertical position. The suggested method is to use torque and energy principles.
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scarletx09
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Homework Statement


A thin, uniform 3.70- bar, 90.0 long, has very small 2.50- balls glued on at either end (the figure ). It is supported horizontally by a thin, horizontal, frictionless axle passing through its center and perpendicular to the bar. Suddenly the right-hand ball becomes detached and falls off, but the other ball remains glued to the bar.

Find the angular acceleration of the bar just after the ball falls off

Find the angular velocity of the bar just as it swings through its vertical position.


Homework Equations





The Attempt at a Solution



i think i need to use torque and energy principles
 
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  • #2
welcome to pf!

hi scarletx09! welcome to pf! :wink:
scarletx09 said:
… i think i need to use torque and energy principles

looks good! :wink:

what do you get? :smile:
 

FAQ: Solving Torque/Axel Problem: Angular Acceleration & Velocity

What is torque and how does it affect angular acceleration?

Torque is a force that causes an object to rotate around an axis. It is calculated by multiplying the force applied to an object by the distance from the axis of rotation. Torque affects angular acceleration by causing a change in the object's rotational motion.

How do I calculate the torque of an object?

The torque of an object can be calculated by multiplying the force applied to the object by the distance from the axis of rotation. The formula for torque is T = F x d, where T is torque, F is force, and d is distance.

What is angular velocity and how is it related to angular acceleration?

Angular velocity is the rate of change of an object's angular position with respect to time. It is measured in radians per second. Angular acceleration is the rate of change of angular velocity with respect to time. They are related in the same way that linear velocity and linear acceleration are related: angular acceleration is the derivative of angular velocity.

How can I use the equations of motion to solve torque and axle problems?

The equations of motion for rotational motion can be used to solve torque and axle problems. These equations include torque = moment of inertia x angular acceleration, angular velocity = initial angular velocity + angular acceleration x time, and angular displacement = initial angular velocity x time + 0.5 x angular acceleration x time^2.

Can torque and axle problems be solved using Newton's laws of motion?

Yes, torque and axle problems can be solved using Newton's laws of motion. The second law of motion, F = ma, can be applied to rotational motion by replacing force with torque and mass with moment of inertia. The third law of motion, for every action there is an equal and opposite reaction, also applies to torque and axle problems.

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