Homework Help is Here – Start Your Trial Now!
Science
Physics
Theory: If several forces act on a body, the vector sum of these forces governs the motion of the body. According to Newton's 1st Law of Motion the body will remain at rest (if originally at rest) or will move with a constant velocity (if originally in motion) if the vector sum of all forces acting on it is zero (the vector sum is called the resultant force). The body is then said to be in translational equilibrium. In this experiment, we consider forces acting on a small body (a metal ring), arranging them so that the body is in translational equilibrium, and we determine how nearly these forces satisfy the translational equilibrium condition that their vector sum is zero. Forces will be measured in units called "gram-weight" (gmwt). One gmwt is the force of gravity on one gram of mass. Therefore a mass of M grams will correspond to a force of M gmwt. Ask your Instructor to discuss this further if you are still confused. Procedure: Note the strings already tied to the small ring at the center of the table. Clamp the pulleys at not-too-symmetrical angles (otherwise the case becomes trivial). Placing one of the pulleys at the 0° mark of the force table may be helpful to you but it is not necessary. Add weights to the hanger at the end of each string and adjust the position of the pulleys if necessary until the ring comes to rest at the exact center of the table. Tap or jiggle the force table to reduce the effect of friction on the pulleys. Since the strings are radial from the center of the force table (especially if the pulleys are properly aligned) the direction of the forces may be read directly from the degree scale of the table. Record the angular position of the pulleys and the weight hanging from each string. (Remember to include the hanger weight in the overall weight.) Determination of the Resultant Force: Determine the vector sum of the horizontal forces acting on the ring in two ways: graphically, and analytically, i.e. by summing trigonometric components. (In the following discussion vectors are shown in boldface letters.)

Theory: If several forces act on a body, the vector sum of these forces governs the motion of the body. According to Newton's 1st Law of Motion the body will remain at rest (if originally at rest) or will move with a constant velocity (if originally in motion) if the vector sum of all forces acting on it is zero (the vector sum is called the resultant force). The body is then said to be in translational equilibrium. In this experiment, we consider forces acting on a small body (a metal ring), arranging them so that the body is in translational equilibrium, and we determine how nearly these forces satisfy the translational equilibrium condition that their vector sum is zero. Forces will be measured in units called "gram-weight" (gmwt). One gmwt is the force of gravity on one gram of mass. Therefore a mass of M grams will correspond to a force of M gmwt. Ask your Instructor to discuss this further if you are still confused. Procedure: Note the strings already tied to the small ring at the center of the table. Clamp the pulleys at not-too-symmetrical angles (otherwise the case becomes trivial). Placing one of the pulleys at the 0° mark of the force table may be helpful to you but it is not necessary. Add weights to the hanger at the end of each string and adjust the position of the pulleys if necessary until the ring comes to rest at the exact center of the table. Tap or jiggle the force table to reduce the effect of friction on the pulleys. Since the strings are radial from the center of the force table (especially if the pulleys are properly aligned) the direction of the forces may be read directly from the degree scale of the table. Record the angular position of the pulleys and the weight hanging from each string. (Remember to include the hanger weight in the overall weight.) Determination of the Resultant Force: Determine the vector sum of the horizontal forces acting on the ring in two ways: graphically, and analytically, i.e. by summing trigonometric components. (In the following discussion vectors are shown in boldface letters.)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question

1) What is expected of this experiment?

2) What would the outcome of this experiment be?

Objective: Theory: The purpose of this experiment is to: a) Measure the acceleration of a mass on a ramp and compare the result to the theoretical prediction obtained through Newton's Laws of motion b) Introduce the experimental practice of taking multiple data points to improve the accuracy of an experimental measurement c) Review proper graphing techniques and how to obtain slopes and intercepts from a graph. <---- Mgcose Open with Mg Mgsin H 0 We will first find the theoretical prediction for the acceleration a of a mass M sliding downward on a frictionless ramp. The only force accelerating the mass along the ramp is the component Mgsine of the gravitational force Mg parallel to the ramp. Applying Newton's 2nd Law, F = Ma, to M in the direction of the ramp we have Mgsin0 = Ma This gives the theoretical prediction for the acceleration, a, to which you will compare your experimental result, aexp. We will relabel this acceleration atheo, therefore, solving for atheo: atheo = g sine (1) Apparatus: Air track, rider, riser blocks, spark timer, thermal spark tape, meter stick
Transcribed Image Text:Objective: Theory: The purpose of this experiment is to: a) Measure the acceleration of a mass on a ramp and compare the result to the theoretical prediction obtained through Newton's Laws of motion b) Introduce the experimental practice of taking multiple data points to improve the accuracy of an experimental measurement c) Review proper graphing techniques and how to obtain slopes and intercepts from a graph. <---- Mgcose Open with Mg Mgsin H 0 We will first find the theoretical prediction for the acceleration a of a mass M sliding downward on a frictionless ramp. The only force accelerating the mass along the ramp is the component Mgsine of the gravitational force Mg parallel to the ramp. Applying Newton's 2nd Law, F = Ma, to M in the direction of the ramp we have Mgsin0 = Ma This gives the theoretical prediction for the acceleration, a, to which you will compare your experimental result, aexp. We will relabel this acceleration atheo, therefore, solving for atheo: atheo = g sine (1) Apparatus: Air track, rider, riser blocks, spark timer, thermal spark tape, meter stick
Theory: Pro If several forces act on a body, the vector sum of these forces governs the motion of the body. According to Newton's 1st Law of Motion the body will remain at rest (if originally at rest) or will move with a constant velocity (if originally in motion) if the vector sum of all forces acting on it is zero (the vector sum is called the resultant force). The body is then said to be in translational equilibrium. In this experiment, we consider forces acting on a small body (a metal ring), arranging them so that the body is in translational equilibrium, and we determine how nearly these forces satisfy the translational equilibrium condition that their vector sum is zero. Forces will be measured in units called "gram-weight" (gmwt). One gmwt is the force of gravity on one gram of mass. Therefore a mass of M grams will correspond to a force of M gmwt. Ask your Instructor to discuss this further if you are still confused. dure: Note the strings already tied to the small ring at the center of the table. Clamp the pulleys at not-too-symmetrical angles (otherwise the case becomes trivial). Placing one of the pulleys at the 0° mark of the force table may be helpful to you but it is not necessary. Add weights to the hanger at the end of each string and adjust the position of the pulleys if necessary until the ring comes to rest at the exact center of the table. Tap or jiggle the force table to reduce the effect of friction on the pulleys. Since the strings are radial from the center of the force table (especially if the pulleys are properly aligned) the direction of the forces may be read directly from the degree scale of the table. Record the angular position of the pulleys and the weight hanging from each string. (Remember to include the hanger weight in the overall weight.) Determination of the Resultant Force: Determine the vector sum of the horizontal forces acting on the ring in two ways: graphically, and analytically, i.e. by summing trigonometric components. (In the following discussion vectors are shown in boldface letters.)
Transcribed Image Text:Theory: Pro If several forces act on a body, the vector sum of these forces governs the motion of the body. According to Newton's 1st Law of Motion the body will remain at rest (if originally at rest) or will move with a constant velocity (if originally in motion) if the vector sum of all forces acting on it is zero (the vector sum is called the resultant force). The body is then said to be in translational equilibrium. In this experiment, we consider forces acting on a small body (a metal ring), arranging them so that the body is in translational equilibrium, and we determine how nearly these forces satisfy the translational equilibrium condition that their vector sum is zero. Forces will be measured in units called "gram-weight" (gmwt). One gmwt is the force of gravity on one gram of mass. Therefore a mass of M grams will correspond to a force of M gmwt. Ask your Instructor to discuss this further if you are still confused. dure: Note the strings already tied to the small ring at the center of the table. Clamp the pulleys at not-too-symmetrical angles (otherwise the case becomes trivial). Placing one of the pulleys at the 0° mark of the force table may be helpful to you but it is not necessary. Add weights to the hanger at the end of each string and adjust the position of the pulleys if necessary until the ring comes to rest at the exact center of the table. Tap or jiggle the force table to reduce the effect of friction on the pulleys. Since the strings are radial from the center of the force table (especially if the pulleys are properly aligned) the direction of the forces may be read directly from the degree scale of the table. Record the angular position of the pulleys and the weight hanging from each string. (Remember to include the hanger weight in the overall weight.) Determination of the Resultant Force: Determine the vector sum of the horizontal forces acting on the ring in two ways: graphically, and analytically, i.e. by summing trigonometric components. (In the following discussion vectors are shown in boldface letters.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Mechanical Equilibrium
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS