Motion of a rod hinged at one end

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In summary, the motion of a rod hinged at one end is a type of rotational motion where one end of the rod is fixed and the other end moves in a circular arc. This motion is caused by a force applied to the free end of the rod and can be affected by factors such as the magnitude and direction of the force, the length and mass of the rod, and the angle of the force. Both kinetic and potential energy are involved in this motion, and it can be calculated using principles of rotational dynamics.
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poseidon721
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Homework Statement
A rod is hinged at its bottom end on a surface and is held in a vertical position. It is given a small push at the top.
Relevant Equations
Work-Energy Theorem
Conservation of energy
Newton's second law
Torque equation
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Hello Poseidon, ##\quad## :welcome: ##\quad## !

Nice post, interesting picture. Poseidon used to be the sea god; is this a hazy picture of fog above the water ?

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Related to Motion of a rod hinged at one end

1. What is the motion of a rod hinged at one end?

The motion of a rod hinged at one end is a rotational motion, also known as angular motion. This means that the rod rotates around the hinge point, with one end remaining fixed while the other end moves in a circular path.

2. What factors affect the motion of a rod hinged at one end?

The motion of a rod hinged at one end is affected by several factors, including the length and mass of the rod, the force applied to the rod, and the angle and position of the hinge.

3. How is the motion of a rod hinged at one end calculated?

The motion of a rod hinged at one end can be calculated using principles of rotational dynamics, such as torque, angular acceleration, and moment of inertia. These calculations can be done using equations and mathematical formulas.

4. What is the difference between the motion of a rod hinged at one end and a rod fixed at both ends?

A rod hinged at one end will have a rotational motion, while a rod fixed at both ends will have a translational motion. In other words, a hinged rod will rotate around the hinge point, while a fixed rod will move in a straight line.

5. How is the motion of a rod hinged at one end used in real-world applications?

The motion of a rod hinged at one end is used in many real-world applications, such as in construction for cranes and other lifting mechanisms, in engineering for designing rotating machinery, and in sports for analyzing the motion of a swinging bat or golf club.

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