Question

I need questions 8-11. Thank you.

comp Atwood's Machine Equipment Qty Equipment 1 Mass and Hanger Set 1 Photogate with Pully Photogate with Pully 1 Universal Table Clamn 1 Large Rod 1 Small Rod 1 Double rod Clamp I 1 String Part Number ME-8979 ME-6838A ME-9376B ME-8736 ME-8977 ME-9873 Background Newton's 2 Law (NSL) states that the acceleration a mass experiences is proportional to the net force applied to it, and inversely proportional to its inertial mass la t ). An Atwood's Machine is a simple device consisting of a pulley, with two masses connected by a string that runs over the pulley. For an "Ideal Atwood's Machine' we assume the pulley is massless, and frictionless, that the string is unstretchable, therefore a constant length, and also massless. Pulley Consider the following diagram of an ideal Atwood's machine. One of the standard ways to apply NSL is to draw Free Body Diagrams for the masses in the system, then write Force Summation Equations for each Free Body Diagram. We will use the standard practice of labeling masses from smallest to largest, therefore my > ms. For an Atwood's Machine there are only forces acting on the masses in the vertical direction so we will only need to write Force Summation Equations for the y direction. We obtain the following Free Body Diagrams for the two masses. Each of the masses have two forces acting on it. Each has its own weight (mig, orm,g) pointing downwards, and each has the tension (T) in the string pointing upwards. By the assumption of an ideal string the tension is the same throughout the string. Using the standard convention that upwards is the positive direction, and downwards is the negative direction, we can now write the Force Summation Equation for each mass. T-mg = m,a T-m2g = -ma In the Force Summation Equations, as they are written here, the letters T. 9, and a only represent the magnitudes of the forces acting on the masses, or the accelerations of the masses. The directions of these vectors are indicated by the +/-signs in front of each term. In these equations the signs are not actually written out, but they should be understood to be there. Understanding this we can see that m is being accelerated upwards at the exact same magnitude that ma is being accelerated downwards. The

Answer 1

1 © Assumption made in pulley mass system 0 String wis massler 2 String in intensible (length constand) Massless pulley (No rotation al inertia) exist Now pulley pay attention the Net force on (torque) A M = T282-TV ...VIVA. also Mz Id since we assume I zo This is right as mass of pulley is low in comparison of blocks (as radius in small too)" - Now compig to auelaration part Let length of string is L (const) Lou but (asstring is a ni + H₂ + H₂ = ' In extensible) differenting with time two time totü zorlis Ta=x = -2 I constant

9 The one percent eerd is due to the neglect the friction also the tension on both will also be different but that create wery less impact (An for that faut of matter the string will also strech little bit ) To understand the physical meaning % this formela remove the pulley assuming same force acting on blocks a Jmig e {m. I t mit ma considering tension as internal force fret - mag-mig mass total mitme z m₂-mg mtm. That is precisely meaning of Numarato and denominator.
answer11-since only 1% error in our result we can say experiment verifies the theory