simple pendulum definition class 11

Some have crucial uses, such as in clocks; some are for fun, such as a child’s swing; and some are just there, such as the sinker on a fishing line. Therefore,Changes of kinetic and potential energies during oscillations.The frequency of kinetic energy or potential energy of a particle executing SHM is double than that of the frequency in SHM.The frequency of total energy of particles executing SHM is zero as total energy in SHM remains constant at all positions.When a particle of mass m executes SHM with a constant angular frequency (I), then time period of oscillationIn general, inertia factor = m, (mass of the particle)How the different physical quantities (e.g., displacement, velocity, acceleration, kinetic energy etc) vary with time or displacement are listed ahead in tabular form.A simple pendulum consists of a heavy point mass suspended from a rigid support by means of an elastic inextensible string.The time period of the simple pendulum is given by :where l = effective length of the pendulum and g = acceleration due to gravity.If the effective length l of simple pendulum is very large and comparable with the radius of earth (R), then its time period is given byFor a simple pendulum of length equal to radius of earth,If the bob of the simple pendulum is suspended by a metallic wire of length l, having coefficient of linear expansion α, then due to increase in temperature by dθ, thenWhen a bob of simple pendulum of density ρ oscillates in a fluid of density ρWhen simple pendulum is in a horizontally accelerated vehicle, then its time period is given byWhen simple pendulum is in a vehicle sliding down an inclined plane, then its time period is given byA simple pendulum having time period of 2 second is called second’s Pendulum.The effective length of a second’s pendulum is 99.992 em of approximately 1 metre on earth.If a simple pendulum is fixed at one end and the bob is rotating in a horizontal circle, then it is called a conical pendulum.Any rigid body mounted, so that it is capable of swinging in a vertical plane about some axis passing through it is called a physical or compound pendulum.where, I = moment of inertia of the body about an axis passing through the centre of suspension,l = distance of centre of gravity from the centre of suspension.where, I = moment of inertia of the body about the axis of rotation andWhen a rigid body of any shape is capable of oscillating about an axis (mayor may not be passing through it). Find the mean radius of the bob and represent it using ‘r’. Dronstudy provides free comprehensive chapterwise class 11 physics notes with proper images & diagram. An ideal simple pendulum is defined as ‘single isolated particle suspended by a weightless, flexible and inextensible string with a friction-less support’. NCERT Physics Notes for Class 11 Oscillations – The Simple Pendulum. When the bob from its mean position is pulled to one side and then released, the pendulum is set to motion and the bob moves alternately on either side of its mean position. Q.2: Why the word ‘SIMPLE’ is used before the pendulum? Simple pendulum definition is - an ideal pendulum consisting of a point mass suspended by a weightless inextensible perfectly flexible thread and free to vibrate without friction —distinguished from physical pendulum. The work done by the spring force when an object moves from the position x1 to the position x2 is:One needs to integrate since the force is not constant, but rather changes with position. For the simple pendulum:[latex]\displaystyle{T}=2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{m}{\frac{mg}{L}}}\\[/latex]Thus, [latex]T=2\pi\sqrt{\frac{L}{g}}\\[/latex] for the period of a simple pendulum. A simple pendulum is defined to have an object that has a small mass, also known as the pendulum bob, which is suspended from a light wire or string, such as shown in Figure 1. Notes for Simple Harmonic Motion chapter of class 11 physics. Thus, the motion of a simple pendulum is NOT simple harmonic.

If an object is displaced a distance x along the arc, the component of gravity in the direction of the arc is −mgsin(θ) or −mgsin(x/l). Pendulum 2 has a bob with a mass of 100 kg. 1: The geometry of the simple pendulum This example, incidentally, shows that our second definition of simple harmonic motion (i.e. Oftenly, the displacement of a particle in periodic motion can always be expressed in terms of […] A pendulum is essentially a weight that is hung from a fixed point. To answer these questions, one starts with the equation relating forces and motion. I am going to use a different variable than the textbook. A sinusoidal restoring force does not produce perfect sinusoidal motion. The length of thread from the point of suspension to the centre of bob, is called length of pendulum. In this case we have: F = mg sin θ,(1) where F is the restoring force acting on the pendulum, m is the mass of the bob, g is the acceleration due to gravity and θ is the angular displacement. The linear displacement from equilibrium is Pendulums are in common usage. Pendulum 1 has a bob with a mass of 10 kg.

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