equilibrium position simple harmonic motion

.e., the displacement on either side of the equilibrium position is confined within well-defined limits. The trigonometric functions namely, the sine and cosine functions are periodic as well as bounded. These functions are called harmonic functions. The displacement o..

In the preceding sections, the motion of a body when acted upon by a constant force was considered. The motion is one of constant acceleratio..

) and then to extreme position (OA) and back to (OC) through (OB). Thus the bob of the simple pendulum keeps moving to and fro between the two extreme positions A and C about the mean position (OB). Such a to and fro motion which repeats itself at r..

A simple pendulum is an arrangement in which a point mass is suspended by an inextensible weightless string in a uniform gravitational field. This is an ideal system which cannot be realized in practice. However, a pendulum consisting of a small but relatively heavy bob on one end of a ve..

What makes a body stable? An object is said to be stable if it is steady and well balanced so that when it is pushed slightly it does not topple or fall off easily. Let us try to do a simple experiment or derive the conditions for stability. Experiment 1: Stick three pins close toget..

The bob of a simple pendulum is attached to a string which pulls the bob along its lengt..

In the previous chapters we studied the motion of a body moving with uniform speed in a straight line and also learnt to calculate the distance traveled by a body in any given time. We then observed that the bodies do not always move with uniform speed and an external unbalanced force is ..

When the body is at position C, its height above the ground may be regarded as zero. Therefore, potential energy of the body = 0. If v c is the velocity with which the body touches the ground, then v c 2 - 0 = 2gh v c 2 = 2gh Total energy of the body = mgh From the above illust..

Every body continues in its state of rest or of uniform motion in a straight line unless compelled by some external force to act otherwise. It is a matter of common experience that objects at rest do not begin to move of their own accord. If we place an object in a certain place we expect..

Oscillatory motion or harmonic motion is a type of motion in which the to and fro motion of the object repeats itself at regular intervals of time about the mean position. Simple Pendulum consists of a heavy mass (spherical in sh..