Acting perpendicular to the velocity, it provides the necessary centripetal force to keep it in a circle. With the appropriate balance of force, a circular orbit can be produced by a force acting toward the center. This is because the product of moment of inertia and angular velocity must remain constant, and halving the radius reduces the moment of inertia by a factor of four. If the string is pulled down so that the radius is half the original radius, then conservation of angular momentum dictates that the ball must have four times the angular velocity. Using a string through a tube, a mass is moved in a horizontal circle with angular velocity ω. HyperPhysics***** Mechanics ***** RotationĬonservation of linear momentum dictates that when a mass strikes an equal mass at rest and sticks to it, the combination must move at half the velocity, because the product of mass and velocity must remain constant. Hence, the motion of an aeroplane is mostly rectilinear in nature.Moment of Inertia Rotational-Linear Parallels More comparisons between linear and angular motion The movement of the plane along the straight-line path reduces the distance, thereby minimizing the time required to travel from one place to the other. Similarly, when a footballer kicks a ball with force, it moves in a linear direction.Īn aeroplane often follows a straight-line path to move from one location to the other. When a muscular force is applied to a bowling ball, it rolls along the lane in a straight line. When a child slides down the surface of a playing slide due to the action of gravitational force, he/she moves along a straight line, thereby exhibiting linear motion.Ī rolling ball is one of the prime examples of linear motion in everyday life. ![]() Hence, it is said to be displaying rectilinear motion.Ī playing slide is an inclined plane attached to the ground on one side and to a ladder on the other side. The motion of the elevators is along a straight line. Apple falling from a tree, a ball thrown off a cliff, etc., are some of the examples of rectilinear motion.Īn elevator moves up and down with the help of an electrically powered pulley mechanism. The free fall of the body is a clear demonstration of linear motion in real life. When an object is dropped from a certain height, it tends to get attracted towards the ground due to the gravitational pull of the earth. When a car moves in the forward or backward direction on a straight road, it is said to be exhibiting linear motion. ![]() The force exerted by the car engine helps the vehicle move. Hence, a group of soldiers participating in the parade are said to be exhibiting rectilinear motion in real life. ![]() The soldiers mostly march in a forward direction along a straight line. The movement of soldiers during a parade is highly synchronous. When a swimmer swims along a straight line, he/she is said to be exhibiting a linear motion. When the sliding door is pushed or pulled along the casing, it moves in a straight line, thereby allowing the person to open or close the door accordingly.Ī swimmer uses the motion of hands and feet to push the water backwards and pull his/her body in the forward direction. Similarly, when the bullet leaves the barrel, it moves along a straight line, thereby displaying linear motion in real life.Ī sliding door is one of the prominent examples of linear motion in everyday life. For instance, the slider of the gun exhibits linear motion when it is pulled back and released during the process of cocking. The process of firing a bullet involves linear motion in many ways.
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