Theory
First, you must use Newton's laws, applied to translational and rotational motion, in order to
derive the relationship between moment of inertia and the parameters measured experimentally.
If the radius of the vertical shaft is R and the tension in
Angular Acceleration and Moment of Inertia
I. Introduction
If we have a system which consists of a number (i) of masses, each with mass mi with a distance
from the axis of rotation, ri, the moment of inertia of the system is defined as
.
(1)
In words, mul
Trajectories
Determination of the Range of the Projectile
In the above figure, v
o
= initial velocity of the projectile, h = table height, R = range of projectile and t
f
= flight time.
9. If the errors in all the other variables are negligible compared t
Trajectories
Procedure 1
A. Initial Measurements
1.
2.
3.
4.
Measure the length of the pendulum from the pivot point to the center of the ball cavity.
Measure the mass of the pendulum.
Measure the mass of the projectile.
For the remainder of the experimen
Centripetal Force
Procedure
Making some judgment about the validity of the last statement in the Theory section is your
goal. You must make comparisons for values of Fspring and ac for five different values of the radius
of rotation and these radii should
Centripetal Force
In order to cause a body to move in a circular path at constant speed, the resultant of all forces
acting on that body must be directed toward the center of the circle. This resultant inward force is
called the centripetal force. This ce
Analysis
From Newton's laws of motion, the acceleration of the glider is given by
where m1 is the mass of the cart and the black block together (so the total mass rolling on the
track), m2 is the mass of the weight hanger and any weights placed on it (the
Procedure
You will use the linear track to determine the acceleration of a system, which includes a cart
attached to a weight by a string. The string runs over a pulley to allow the mass to hang. All data
should be recorded and presented in well-formatted
Measuring g Using Pasco (Picket Fence)
In part 1, you determined the acceleration due to gravity from Sparky. You will now determine
the acceleration due to gravity using the Pasco interface and what is called a picket fence. There
are subtle differences
Measuring g Using Sparky
We will study the motion of a freely falling body and, in particular, measure the acceleration due
to gravity. With the apparatus supplied, an object is allowed to fall freely and its positions at the
ends of successive time inter
Combining Experimental Errors
After measuring the length and width of the block last week, you were asked the following
question: "Since your measurements of the length and width are subject to random error, how
should you report the area of the block inc
A. Coin Toss
There are some measurements for which we are almost certain of the mean of a large number of
repetitions. For example, we expect that the average number of heads appearing in a large
number of tosses of ten unbiased coins should be 5 and that
Theory
Given the pervasiveness of random error, one of the tasks of the experimentalist is to estimate the
probability that someone who performs an apparently identical experiment will obtain a different
result (measuring the width of the table top mentio
Introduction to Terms
In the laboratory neither the measuring instrument nor the measuring procedure is ever perfect;
consequently, every experiment is subject to experimental error. A reported result which does not
include the experimental error is serio