What factors affect the period of a physical pendulum?
What factors affect the period of a physical pendulum?
The period of a simple pendulum depends on its length and the acceleration due to gravity. The period is completely independent of other factors, such as mass and the maximum displacement.
Does physical pendulum depend on mass?
The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. With the assumption of small angles, the frequency and period of the pendulum are independent of the initial angular displacement amplitude. A pendulum will have the same period regardless of its initial angle.
How do you find the period of a physical pendulum?
It consists of any rigid body that oscillates about a pivot point. For small amplitudes, the period of a physical pendulum only depends on the moment of inertia of the body around the pivot point and the distance from the pivot to the body’s center of mass. It is calculated as: T=2π√Imgh T = 2 π I mgh .
What are the factors that affect a pendulum?
The only things that affect the period of a simple pendulum are its length and the acceleration due to gravity. The period is completely independent of other factors, such as mass.
What does period of pendulum depend on?
The period for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g, according to The mpeg movie at left (39.5 kB) shows two pendula, with different lengths.
What are the forces acting on a pendulum?
The resultant force is the force that results from the combination of two or more forces. The two forces that act on the pendulum are the force of gravity, pulling straight down, and the force by the pivot, pulling along the string, towards the pivot.
What is meant by physical pendulum?
: a rigid body so mounted on a horizontal axis through its center of suspension that when the body is displaced it vibrates freely about its position of equilibrium —distinguished from simple pendulum.
What forces are acting on a pendulum?
The forces acting on the bob of a pendulum are its weight and the tension of the string. It is useful to analyze the pendulum in the radial/tangential coordinate system. The tension lies completely in the radial direction and the weight must be broken into components.
What is the maximum angle of a pendulum?
Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.
What are the examples of physical pendulum?
A physical pendulum refers to an object which oscillates back and forth, in contrast to the rather idealized simple pendulum where all the mass is concentrated in a single point (usually the mass hanging on the end of the massless rope). One example of a physical pendulum is a baseball bat swinging back and forth.
What are the factors that does not affect the time period of a pendulum?
The mass of the bob does not affect the period of a pendulum because (as Galileo discovered and Newton explained), the mass of the bob is being accelerated toward the ground at a constant rate — the gravitational constant, g.
Can a simple pendulum be modeled as a physical pendulum?
A physical pendulum is any object whose oscillations are similar to those of the simple pendulum, but cannot be modeled as a point mass on a string, and the mass distribution must be included into the equation of motion. As for the simple pendulum, the restoring force of the physical pendulum is the force of gravity.
How is the motion of a pendulum described?
Physical Pendulum. Hanging objects may be made to oscillate in a manner similar to a simple pendulum. The motion can be described by “Newton’s 2nd law for rotation”: where the torque is. and the relevant moment of inertia is that about the point of suspension. The resulting equation of motion is:
Can a hanging object oscillate like a pendulum?
Physical Pendulum. Hanging objects may be made to oscillate in a manner similar to a simple pendulum. The motion can be described by “Newton’s 2nd law for rotation”:
Which is the best way to solve the pendulum problem?
There are two basic approaches to solving this problem graphically — a curve fit or a linear fit. Let’s do them in that order. First method: Start with the equation for the period of a simple pendulum. Compare it to the equation for a generic power curve.