I need help grasping the concept of moment of Inertia, Why is there more intertia when the mass is concentrated around the rim than the center of the rim?
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I need help grasping the concept of moment of Inertia, Why is there more intertia when...
question: The moment of inertia of a uniform rod about an axis through its center is 1/12mL^2. The moment of inertia about an axis at one end is 1/3mL^2. Why is the moment of inertia is larger when rotating about the end of the rod than when rotating about the center of the rod? A. When rotating about the end of the rod, it will be unbalanced and wobble. B. When rotating about the end of the rod, more mass...
I need help deriving an equation for the uncertainty in my calculated moment of inertia. My equation for inertia is: I = (g*r^2)/(s) In that equation: I = inertia in units g*cm^2 g = gravity in units cm/s^2 r = radius in cm s = slope = a/m = where a is acceleration in cm/s^2 and m is mass in grams I attached a sheet that may be useful in deriving an equation for uncertainty: https://ibb.co/sQm22Hh
You have a pulley 13.1 cm in diameter and with a mass of 2.6 kg. You get to wondering whether the pulley is uniform. That is, is the mass evenly distributed, or is it concentrated toward the center or the rim? To find out, you hang the pulley on a hook, wrap a string around it several times, and suspend your 1.9 kg physics book 1.3 m above the floor. With your stopwatch, you can find that it takes 0.65...
We know the heart shaped object has a moment of inertia of I =
0.5kgm^2. Calculate the change in angular momentum (L) of the
object in 5s (~L=~τ∆t). This question deals with angular momentum
conservation. Two girls of mass 100 kg each stand at the center of
a rotating merry-go-round (MGR) in the shape of a disk of radius 1
m and mass 10 kg. The platform rotates atω= 0.40 rad/s. Let’s call
this configuration instant A.
A) Determine the...
A carousel has a radius of R=3.00m and a moment of inertia of I= 6250 kgâ‹…m2 for rotation about axis perpendicular to the its center. The carousel is rotating unpowered and without friction with an angular velocity of 1.25 rad/s. An 85.0 kg man runs with a velocity of v=8.00m/s , on a line tangent to the rim of the carousel, overtaking it. The man runs onto the carousel and grabs hold of a pole on the rim. (Figure 1) a...
I need help finishing my lab!! I don’t understand
anything.
Physics 2425 MOMENT OF INERTIA (d) Combine the three equations above to develop an expression that would allow you to predict the hanging object's downward acceleration by knowing its mass m, the radius of the hub r, the moment of inertia of the system I, and the free-fall acceleration g As always, show your work. T-Ia 2. Measuring Acceleration Use the kinematic formulas for linear motion of constant acceleration to...
A freely spinning wheel of mass M and radius R and moment of inertia I has its center attached to a fixed point a distance H above the ground. A thin thread is wrapped around the edge of the wheel, and connected to a mass, M (same as the wheel). When the mass is released from rest, it falls the distance H in a time delta t. In terms of M, g, I and H, how much time, delta t,...
The Parallel-Axis Theorem allows one to find the moment of inertia of an object if the moment of inertia through the center of mass (c.o.m.) is known and the second axis is parallel to the axis through the c.o.m.. The equation is given by I= Icom +md2, where Icom is the moment of inertia about an axis through the c.o.m., m is the mass of the object, d is the perpendicular distance from the axis through the c.o.m. to the...
You are given that the “heart
shaped object” in Fig. 4 has a moment of inertia I = 0.5kgm2. Use
this to calculate
the change in angular momentum L of the object in 4s. Hint: L⃗ =
⃗τ∆t.
(b) This question deals with angular momentum conservation. Two
boys of mass 100 kg each stand at the center of a rotating
merry-go-round (MGR) in the shape of a disk of radius 1 m and mass
10 kg. The platform rotates at...
Lab 8 Assignment: Moment of Inertia 1) Moment of Inertia for Different Systems The resistance to rotational motion change is more involved than for linear motion because it not only depends on what the mass is, but also on how that mass is distributed about the axis of rotation. The farther away from the axis the mass is distributed, the greater the moment of inertia. Using this simple definition, for each of the following pairs of objects, determine which of...