Found 10 Articles for System of Particles and Rotational Dynamics

Introduction Angular displacement and its measurement are key concepts of Dynamics. The particle is considered to be in motion when it changes its position with respect to time. That means the particle is displaced from one position to another. The particle makes linear displacement if it is moving in linear motion. Similarly, the particle makes angular displacement if it is moving in a circular motion. That means circularly moving particles make angular displacement. Laws of Motion There are laws describing the motion of particles. According to the first law, the particle does not change its state of motion or rest ... Read More

Introduction Angular Momentum is a concept of rotational dynamics. We can classify motions of objects in two kinds of motions namely Translational and Rotational motions. In pure translatory motion every point of the body moves in a straight line. Each point covers the same distance in a given time interval. e.g. - A Car moving in a straight line, a man walking on the road etc. Whereas in the pure rotation, the path created by the motion of every point makes a circle whose centre lies on the axis of rotation. E.g. - earth rotating about its axis, spinning top ... Read More

Introduction Constant angular acceleration is an import concept of rotational dynamics. When describing a change in linear velocity, we use linear acceleration; however, when dealing with spinning bodies or objects that are moving curvilinearly, we use angular acceleration. You would not be surprised to learn that angular acceleration is the rotational counterpart of linear acceleration as the rate of rotation is the angular velocity. In contrast to angular acceleration, which defines the rate at which angular velocity changes, linear acceleration explains the rate at which linear velocity changes. What is Angular Acceleration? The rate at which angular velocity changes ... Read More

Introduction Angular speed is a scalar quantity. The physical quantities which contain both magnitude and direction are called vector quantities like Displacement, Velocity, and so on. The physical quantity which contains only magnitude is called a scalar quantity. For example, distance, speed, etc. Angular velocity and angular speed both are denoted by the same formula but the only contrast between them is angular velocity is the vector quantity and angular speed is the scalar quantity.Circular motion is an example of angular motion because at every point moving objects change their angle concerning the time at every point. Angular Motion ... Read More

Introduction: What is Momentum? Angular Momentum and Linear Momentum are vector quantities. The physical quantities which contain both magnitude and direction are called vector quantities. Ex: Displacement, Velocity, momentum, etc. Momentum is the product of the velocity and mass of the particle. In linear motion, it was denoted as linear momentum and it is expressed as P. $$\mathrm{Linear\:momentum = mass\:\times\: velocity}$$ Angular Momentum If a particle moves in a circular path, then it is said to be in circular motion. The momentum of a particle in a circular motion is called angular momentum. The total Angular momentum of the particle ... Read More

Introduction Angular acceleration is a concept of rotational dynamics just as acceleration is defined in the linear case. Physically, it describes the rate of change of angular velocity of a particle. Since rotational motion is performed about an axis or a point, angular acceleration has different values depending upon the choice of our origin. Angular acceleration may be caused by the application of an external torque, or it can be brought about due to changes in the configuration of a body without any external effects. A common example of the latter case is when a person sitting in a ... Read More

Introduction There can be many types of motion exerted by a body like translational motion, rotational motion, circular motion, uniform motion, etc. In rotational motion, rigid bodies which have a definite size and definite shape are considered. The particles present in a body about a fixed axis move in a circular path. So to understand the concept of rotational motion you must know about circular motion. Here the terms are included in angular form. What is Rotational Motion? If a force is applied to any object at the corner side of it(not on the centre of mass), then we see ... Read More

Introduction Pulleys are often denoted as the simple machines that are used to carry or lift a heavy load in construction areas or even in sets designing. Pulleys are the types of wheels that groove along the edge for holding cable or wires. The amount of force that is exerted to lift the load is equivalent to the amount of work required for loads to move at same height without the pulleys. Here the force magnitude gets decreases but it will act through a greater distance. There are several types of pulleys that can be classified on the ... Read More

Introduction The thermal expansion of solid objects is observed when the temperature increases. The expansion of solid objects at a high temperature refers to as the thermal expansion of solids. A fractional change in terms of volume and height is seen. For example, it is commonly seen a gap between the railway track just because of the excessive temperature of the sun and the wheel of the trail the thermal expansion can be seen. In general, linear and coefficient expulsion can be seen on solid objects. On a solid object, the thermal expansion can be seen in terms of ... Read More

Angular Momentum The property of any rotating body given by moment of inertia times angular velocity is defined as angular momentum. That is, it is the property of a rotating body given by the product of the rotating object's moment of inertia and angular velocity. It is obvious that this is a vector quantity; in addition to magnitude, the direction is taken into account. Any object or body moving with mass has momentum, and angular momentum is the property that characterises the rotary inertia of an object or system of objects in motion around an axis that may or may ... Read More