Question

A. List the analogies between linear and rotational motion.

B. List all the physical quantities and the equation we define to deal with the linear motion.

C. How can we use those concepts in rotational motion.

Answer #1

Compare the main physical quantities of translational and
rotational motions.
How many directions may have vector of angular velocity?
Analogs in rotational dynamics for force, mass and the Second
Newton’s Law in translational mechanics.
Compare kinetic energies of translational and rotational
motions.
What is kinetic energy of solid body performing both
translational and rotational motion at the same time?
Angular momentum: definition and comparison with linear
momentum.
Conservation of angular momentum.

to which physical quantity in linear motion os the quantity
"moment of inertia" analogous to in rotational motion
a. kinetic energy
b. velocity
c. mass
d. momentum
part b. consider a uniform circular disk of mass M and radius R.
what formula would you use to calculate its moment of inertia
relative to an axis perpendicular to the plane the disk and passing
through its center?
I =
Part c. consider a ring of mass M and inner radius R1...

a) Use Newton’s second law to set up an equation that describes
the motion of a mass moving horizontally under the influence of a
linear spring force. Neglect air resistance and friction. Solve
your equation to obtain expressions for the object’s position,
velocity and acceleration as functions of time. Obtain an
expression for the angular frequency of the oscillation. Clearly
define all quantities you need to do this.
b) Repeat a) using energy ideas.

(a) Use energy ideas to set up an equation that describes the
motion of a mass moving horizontally under the influence of a
linear spring force. Neglect air resistance and friction. Solve
your equation to obtain expressions for the object’s position,
velocity and acceleration as functions of time. Obtain an
expression for the angular frequency of the oscillation. Clearly
define all quantities you need to do this. Show and explain each
step, and be clear about what your answers are...

We have an analogy between circular motion and SHM that we can
use to describe SHM mathematically. But in order to ensure that
black cylinder rotates with exactly the right angular
velocity \omegaω so that its motion syncs up with the side to
side motion of the glider, there must be some relationship between
\omegaω and the properties of the glider/spring system. The goal
of this section is to find the fundamental relationship.
1.Draw a force diagram for the glider...

Please answer all parts. Thank you!
1. Explain the correspondence that lets us easily translate
between linear motion and rotational motion. What are the linear
analogues of the rotational quantities we have discussed in lecture
i.e. angle, angular velocity, angular acceleration and moment of
inertia? Where does the correspondence seem to fail?
2. Explain, in words, how we know that a freely spinning
asteroid in space is rotating about an axis that passes through its
center of mass?
3. You...

List all of the similarieties and differences you can between
the processes involved in aerobic respiration and those of
fermentation.

Graph: TB and TC curves. Both the TB and TC
curves are graphed over quantities (Q). The start at Q = 0 and
intersect at the quantity indicated by point G. The tangent line at
point B is parallel to TC.
Reference: TB and TC Curves
The quantity at point ____ indicates the optimal quantity.
A.
A
B.
G
C.
D
D.
C
If a relation between X and Y is provided by
the equation y = 30 + –2.2...

Which of the following correctly describes the steps to find the
acceleration of the given non-linear motion data in Part 2(b) of
the lab, using Method 2?
a.
Reading the equation of the trendline for the graph:
y = x2 (the other two numbers are very small and can be
ignored)
Here, the coefficient of x2 equals (1/2)
a
Therefore,
a = (2)(coefficient of x2)
Substituting values we get:
a = (2)(0.013)
a = 0.026 m/s2
b.
Reading the equation...

Suppose a cylinder is on a plane inclined 30 degrees above the
horizontal, lying so that it is ready to roll.
a. Draw an extended free-body diagram for the cylinder. Make
sure to label forces appropriately.
b. Write down the three equations of motion that govern the
linear and rotational motion of the cylinder. Recall that I_cyl =
[1(MR^2)]/2, and make sure to substitute in all known quantities
and use the standard symbols for unknown quantities.
c. What constraints can...

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