f=ma that in equilibrium postion the force are zero that why the in sample pendulum the force is zero that mean that acceleration is also zero that point velocity is maximum
Maximum, as it experiences a sudden change in direction at the extreme points of the motion.
The positions of maximum potential energy in a pendulum are at the highest points of its swing, where the pendulum momentarily stops before changing direction. This corresponds to the top-most points of the swing, which are generally labeled as positions A and C in diagrams.
To determine the maximum displacement, you need to calculate the peak value of the displacement function. This is done by finding the extreme values (maximum or minimum) of the function, typically by taking the derivative and setting it to zero to find critical points. Once you have these critical points, evaluate the function at those points to find the maximum displacement.
The energy of a compound pendulum is constantly changing between potential energy and kinetic energy as it oscillates. At the highest points of the swing, it has maximum potential energy but minimum kinetic energy, and at the lowest point of the swing, it has maximum kinetic energy but minimum potential energy. The total energy of the pendulum remains constant unless there are external factors such as air resistance or friction.
Displacement and acceleration are zero at the instant the mass passes through its "rest" position ... the place where it sits motionless when it's not bouncing. Velocity is zero at the extremes of the bounce ... where the expansion and compression of the spring are maximum, and the mass reverses its direction of motion.
Maximum, as it experiences a sudden change in direction at the extreme points of the motion.
The positions of maximum potential energy in a pendulum are at the highest points of its swing, where the pendulum momentarily stops before changing direction. This corresponds to the top-most points of the swing, which are generally labeled as positions A and C in diagrams.
To determine the maximum displacement, you need to calculate the peak value of the displacement function. This is done by finding the extreme values (maximum or minimum) of the function, typically by taking the derivative and setting it to zero to find critical points. Once you have these critical points, evaluate the function at those points to find the maximum displacement.
The energy of a compound pendulum is constantly changing between potential energy and kinetic energy as it oscillates. At the highest points of the swing, it has maximum potential energy but minimum kinetic energy, and at the lowest point of the swing, it has maximum kinetic energy but minimum potential energy. The total energy of the pendulum remains constant unless there are external factors such as air resistance or friction.
Displacement and acceleration are zero at the instant the mass passes through its "rest" position ... the place where it sits motionless when it's not bouncing. Velocity is zero at the extremes of the bounce ... where the expansion and compression of the spring are maximum, and the mass reverses its direction of motion.
As a pendulum swings back and forth, it undergoes a continuous transformation between potential and kinetic energy. At its highest points, the pendulum has maximum potential energy and minimal kinetic energy. As it descends, potential energy converts to kinetic energy, reaching maximum kinetic energy and minimal potential energy at the lowest point. This cycle repeats as the pendulum swings, illustrating the conservation of mechanical energy in an ideal system.
An "extreme value" is either a local maximum, or a local minimum - i.e., a point which is greater than all the points in a certain neighborhood, or less than all points in a certain neighborhood.
The kinetic energy of a pendulum is at its least at the point of maximum displacement, whether at the highest or lowest point of its swing. This occurs because the velocity of the pendulum is zero at these points, so its kinetic energy is minimized.
12,355 points is the maximum points you can get.
Oscillatory motion is a repetitive back-and-forth movement around a central point. An example is a pendulum swinging back and forth, where the motion alternates between two extreme points.
As you increase the initial displacement of a pendulum, the amplitude of the swing also increases. This results in the pendulum swinging with a wider angle, reaching higher points and swinging back to lower points. However, the period of the pendulum, which is the time it takes to complete one full swing, remains constant.
The extreme points are now 0 and 14.