HALLA LA ACELERACIÓN Y LA TENSIÓN | Plano inclinado con rozamiento y dos cuerpos

Two bodies connected by a string, an ideal pulley, an inclined plane, and a frictional force: how can we calculate the acceleration of the system and the tension in the string? In this dynamics problem, a 30 kg mass moves along a 30° inclined plane, while another 25 kg mass descends vertically. There is kinetic friction between the first body and the plane, with a coefficient of 0.2. The key to this exercise is correctly analyzing the forces acting on each body. We draw the weight, the normal force, the tension, and the frictional force; we choose axes parallel and perpendicular to the inclined plane; and we decompose the weight into components in these two directions. Then we apply Newton's second law to each mass. By adding the equations of motion, the tension disappears, and we can obtain the common acceleration of the two bodies. Finally, we use one of the equations to calculate the tension in the string. In this video, you will learn to: • determine the direction of motion of the system; • Represent all forces correctly; • Calculate the normal force and the frictional force; • Decompose the weight on an inclined plane; • Apply Newton's second law to two connected bodies; • Eliminate the tension by adding the equations; • Calculate the acceleration and the tension in the string. Avoiding intermediate rounding, the results are approximately: Acceleration of the system: 0.86 m/s². Tension in the string: 224 N. This procedure can be used in many other dynamics problems involving inclined planes, pulleys, friction, and bodies connected by idealized strings. Chapters 00:00 Problem Statement 00:53 System Sketch 01:30 Tension in an Ideal String 01:42 Friction and Normal Force 02:12 Choosing the Axes 02:26 Forces on the Body on the Inclined Plane 03:03 Newton's Second Law for the 30 kg Mass 03:51 Newton's Second Law for the Hanging Mass 04:19 Calculating the Normal Force 04:47 System of Equations of Motion 05:33 Decomposing the Weight 06:35 Calculating the Friction Force 07:40 Acceleration Formula 08:37 Substituting the Data 10:28 Acceleration Value 10:37 Calculating the Tension in the String 11:42 Final Results More exercises with Newton's Second Law Newton:    • SEGUNDA LEY DE NEWTON   #NewtonsSecondLaw #InclinedPlane #Tension #Friction #Dynamics #PhysicsWithJuan