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The time period of a simple pendulum is calculated using the following conditions: Length of the pendulum: The longer the length of the pendulum, the longer it takes for one complete back-and-forth swing. Acceleration due to gravity: The time period is inversely proportional to the square root of the acceleration due to gravity. Higher gravity results in a shorter time period. Angle of displacement: The time period is slightly affected by the initial angle of displacement, but this effect becomes negligible for small angles.
The difference between the final and the initial position of an object is called displacement. Unit of displacement is metre . Displacement <= Distance always.
Displacement
Final position - Initial position
velocity is displacement / time. Displacement is shortest distance between initial and final point
The mass of the pendulum, the length of string, and the initial displacement from the rest position.
A simple pendulum, ideally consists of a large mass suspended from a fixed point by an inelastic light string. These ensure that the length of the pendulum from the point of suspension to its centre of mass is constant. If the pendulum is given a small initial displacement, it undergoes simple harmonic motion (SHM). Such motion is periodic, that is, the time period for oscillations are the same.
The difference between the final and the initial position of an object is called displacement. Unit of displacement is metre . Displacement <= Distance always.
The time period of a simple pendulum is calculated using the following conditions: Length of the pendulum: The longer the length of the pendulum, the longer it takes for one complete back-and-forth swing. Acceleration due to gravity: The time period is inversely proportional to the square root of the acceleration due to gravity. Higher gravity results in a shorter time period. Angle of displacement: The time period is slightly affected by the initial angle of displacement, but this effect becomes negligible for small angles.
This is done in order to get unbalanced force act on the pendulum. A torque will act due to gravitation of the earth and the tension in the string as they then act at different points and opposite direction on the pendulum. Have the forces act at the same point, the formation of torque would have been ruled out and the pendulum would not swing.
Displacement
Final position - Initial position
Kinematics. Final velocity squared = initial velocity squared + 2(gravitational acceleration)(displacement)
velocity is displacement / time. Displacement is shortest distance between initial and final point
If you know the initial height and the length of the pendulum, then you have no use for the mass or the velocity. You already have the radius of a circle, and an arc for which you know the height of both ends. You can easily calculate the arc-length from these. And by the way . . . it'll be the same regardless of the mass or the max velocity. They don't matter.
The magnitude of displacement is the shortest distance between the initial and final position. In case of a particle completing one full round around a circle the displacement is ZERO. Because the initial and final positions are one and the same
Initial displacement has no effect on the period of oscillation. The period T = 2(pi)sqrt(mass/spring constant)