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Fall 2022 - PHYS172 - GCA2 Extended formula sheet - Ch 5,6 To find an unknown force, you can use the following steps . Explicitly choose a system, and stick to this choice. . Systematically identify all the forces on the system due to objects in the surroundings, and draw and label a free-body diagram . Observe the rate at which the system's momentum changes (dp/di). . Use the Momentum Principle (dp/di = Fnet ) to deduce the net force on the system. . Solve for the unknown contributions to the net force. From the derivative form of the Momentum Principle, we deduce that the net force acting on a system that never moves or moves with a constant velocity must be zero: Fnet = 0 = (0,0.0) To find the components of a vector F Fx = F cose Fy = F sino To find missing angles in a right triangle sin(0) = - ; cos(0) = = : tan(0) = = To calculate the work done by force: *W =Fx. Ax + Fy. dy + F2.4z W =F.AP *W = |FLIAFI cos(0) The Energy Principle: AE = Wext For a 1 particle system, the Energy Principle can be used to calculate the final kinetic energy : K/ = Ki + F.AF The kinetic energy K = mv2 Question 1: A ball of mass m = 50 kg hangs motionless from two strings, as shown in the figure below. The length of string 2 is L = 20 cm. Consider a = 15 cm. Choose the ball as the system What are the surroundings? b) Draw a free-body diagram. What is the magnitude of the tension in string 2? String 2 What is the magnitude of the tension in string 1? String 1