WVC PHYS222 Winter 2019 Lab 1.docx - Torques Equilibrium and Center of Gravity Max Stevens Luke Corbin ABSTRACT This experiment examined the effect that

# WVC PHYS222 Winter 2019 Lab 1.docx - Torques Equilibrium...

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Torques, Equilibrium, and Center of Gravity Max Stevens Luke Corbin 1/9/2019 ABSTRACT: This experiment examined the effect that hanging weights at different distances on a ruler has on the center of mass of the system. It is anticipated that the center of mass will shift according to the size and positions of the weight. INTRODUCTION: Center mass is essentially the balancing point of an object. It is the single point on an object that distributes forces applied there equally throughout the object. If a person pushes or pulls anywhere outside the single center of mass point, the object will rotate around the center of mass. This rotation is called torque. To find torque the distance from the center of mass and amount of force being applied must be considered. The more force and distance from the center of mass, the more torque is applied. If forces on opposite ends of the center of mass are applied in opposite directions they add to the torque. For example if someone was lifting one side of a teeter-totter and another person pushing down on the opposite end. Conversely, to balance an object the torque around that objects center of mass should be zero. So two people both lifting up or both pushing down on the teeter-totter equally should balance it parallel to the ground. THEORY: In this lab, the torques in each direction must be found. In order to find a torque, the force and the moment, or the distance between the balance point, and the point the force is applied, must be found. The force can be found by found by multiplying the mass, m, by gravity, g:

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mg = F ( Eq 1 ) The moment can be found by using: r = | x 0 x | ( Eq 2 ) Where r is the moment, x 0 is the position of the balance point, and x is the position at which the force is applied. The torque can be found using: τ = rF ( Eq 3 ) Where τ is the torque, r is the moment, and F is the force. This can be expressed using mass and gravity: τ = rmg ( Eq 4 ) The total torque in one direction is the sum of all torques in that direction: τ cw = Σ τ = Σ ( rmg ) ( Eq 5 ) Where τ cw is the total of all torques in the clockwise direction. This can also be used with τ cc , which is the total of all torques in the counterclockwise direction. If the system is in balance, all of the torques must equal: τ cw = τ cc ( Eq 6 ) This lab will also require the mass of a certain portion of an object to be calculated. In this case, the linear mass density of the object is needed. This can be found using: μ = m L ( Eq 7 ) Where m is the mass of the object, L is the length, and μ is the linear mass density. The mass of a
• Fall '18
• Bruce Unger
• Center Of Mass, Fundamental physics concepts

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