- #1
StrawHat
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Homework Statement
Homework Equations
r * [itex]\alpha[/itex] = atan
r * [itex]\omega^2[/itex] = arad
The Attempt at a Solution
arad = (L/2)(3g/L) = 3g/2
atan = (L/2)(3g/2L) = 3g/4
Rod on a pivot: Linear acceleration and reaction forces
- Thread starter StrawHat
- Start date
In summary, a rod on a pivot is a simple mechanical system that rotates around a fixed point. Linear acceleration refers to the rate of change of an object's velocity in a straight line, and it is caused by a torque applied to the rod. Reaction forces in a rod on a pivot include the force of the pivot point and the force of gravity. To calculate linear acceleration, the formula a = F/m can be used, while the principle of moments can be used to calculate reaction forces.
r * [itex]\alpha[/itex] = atan
r * [itex]\omega^2[/itex] = arad
arad = (L/2)(3g/L) = 3g/2
atan = (L/2)(3g/2L) = 3g/4
- #2
Doc Al
Mentor
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How did you get this?StrawHat said:
Looks OK. (But don't forget the proper signs of the components.)
- #3
StrawHat
- 33
- 0
I got arad = 3g/2 by multiplying r by ω2.
EDIT: It was actually -3g/2.
Going onto the reaction forces, I thought it was just R = ma, but apparently that's not the case...
Re-EDIT: Got it. I just needed to add the negative signs.
EDIT: It was actually -3g/2.
Going onto the reaction forces, I thought it was just R = ma, but apparently that's not the case...
Re-EDIT: Got it. I just needed to add the negative signs.
Last edited:
1. What is a rod on a pivot?
A rod on a pivot is a simple mechanical system that consists of a rod or bar attached to a fixed point, allowing it to rotate around that point.
2. What is linear acceleration?
Linear acceleration refers to the rate of change of an object's velocity in a straight line. It is measured in units of distance per time squared (e.g. meters per second squared).
3. How does a rod on a pivot experience linear acceleration?
When a force is applied to the rod, it will experience a torque (rotational force) at the pivot point. This torque will cause the rod to rotate around the pivot point, resulting in linear acceleration.
4. What are reaction forces in a rod on a pivot?
Reaction forces refer to the forces that act on the rod in response to an applied force. In a rod on a pivot, there are two reaction forces: the force of the pivot point pushing back on the rod and the force of gravity pulling down on the rod.
5. How can I calculate the linear acceleration and reaction forces in a rod on a pivot?
To calculate linear acceleration, you can use the formula a = F/m, where a is the linear acceleration, F is the applied force, and m is the mass of the rod. To calculate the reaction forces, you can use the principle of moments, which states that the sum of clockwise moments equals the sum of counterclockwise moments. This can be represented as ΣM = 0, where ΣM is the sum of all moments and must equal zero in equilibrium.
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