(10%) Problem 10: 
A rotating system
consists of four particles, each of mass M = 0.87
kg, fixed at distances from the rotation axis that are all integer
multiples of the length L = 0.21 m.
13% Part (b) Calculate, in
units of kilogram meters squared, the moment of inertia of the
system when each particle is fixed at distance L from the
rotation axis.
13%
Part (c) Enter an expression, in terms of the
quantities defined in the problem, for the moment of inertia of the
system when three of the particles are fixed at distance L
from the rotation axis and the fourth is fixed on the rotation
axis.
13%
Part (d) Calculate, in units of kilogram meters
squared, the moment of inertia of the system when three of the
particles are fixed at distance L from the rotation axis
and the fourth is fixed on the rotation axis.
13%
Part (e) Enter an expression, in terms of the
quantities defined in the problem, for the moment of inertia of the
system when two of the particles are fixed on the rotation axis and
the other two are fixed at distances L and 2L
from the rotation axis.
13%
Part (f) Calculate, in units of kilogram meters
squared, the moment of inertia of the system when two of the
particles are fixed on the rotation axis and the other two are
fixed at distances L and 2L from the rotation
axis.
13%
Part (g) Enter an expression, in terms of the
quantities defined in the problem, for the moment of inertia of the
system when two of the particles are fixed at distance 2L
from the rotation axis, one is fixed at distance L from
the axis, and one is fixed on the axis.
13%
Part (h) Calculate, in units of kilogram meters
squared, the moment of inertia of the system when two of the
particles are fixed at distance 2L from the rotation axis,
one is fixed at distance L from the axis, and one is fixed
on the axis.
Homework Answers
Add Answer to:
(10%) Problem 10: A rotating system consists of four particles, each of mass M = 0.87 kg, fixed at distances from the r...
6. (BONUS) Two particles each with mass m = 0.4 kg, are fastened to each other,...
6. (BONUS) Two particles each with mass m = 0.4 kg, are fastened to each other, and to a rotation axis at 0, by the two thin rods, each of length d and mass M = 1.5 kg as shown below. The combination rotates around the rotation axis with angular speed w = 0.2 rad/s. The total moment of inertia of the system measured about O is 2.3 x 10-4 kg m?. (Hint: The moment of inertia of a thin...
The system above has two distinguishable particles, each can be in either of two boxes. The...
The system above has two distinguishable particles, each can be
in either of two boxes. The system is in thermal equilibrium with a
heat bath at temperature, T. The energy of the particle is zero
when it's in the left box, and it is
when it is in the right box. There is a correlation energy term
that increases the system energy by
if the particles are in the same box.
If the particles are indistinguishable how many microstates will...
An electric dipole consists of two particles, each having the same mass, m. The two particles...
An
electric dipole consists of two particles, each having the same
mass, m. The two particles have the charges + q and - and are
separated by the distance d, as shown in the figure. At time t =0
turns on for a constant electric field E pointing along the
positive z-direction. The field causes the dipole to rotate. Derive
an expression of dipole angular acceleration vector a as soon as
the field has just been lit.
We were unable...
Suppose we want to calculate the moment of inertia of a 67 kg skater, relative to...
Suppose we want to calculate the
moment of inertia of a 67 kg skater, relative to a vertical axis
through their center of mass.
Part (a) First calculate the
moment of inertia (in kg⋅m2) when the skater has their
arms pulled inward by assuming they are cylinder of radius 0.11 m.
Part
(b) Now calculate the moment of inertia of the skater (in
kg⋅m2) with their arms extended by assuming that each
arm is 5% of the mass of their...
2) Moment of Inertia for Multiple Objects We have loosely defined the moment of inertia as...
2) Moment of Inertia for Multiple Objects We have loosely defined the moment of inertia as the difficulty or resistance encountered when trying to change an object's rotational motion. What if we were trying to rotation a combination of objects? a. Suppose you have a very light cloth pouch, and you place an apple of mass M=200 grams in it. You tighten up the satchel and start to swing it around, with the string in the satchel making a length...
(10%) Problem 9: When using a pencil eraser, you exert a downward force of 4.5 N at a distance of 2.3 cm fro...
(10%)
Problem 9: When using a pencil
eraser, you exert a downward force of 4.5 N at a distance
of 2.3 cm from the hardwood-eraser joint. The pencil has a
2.4 mm radius and is held at an angle of 19° to
the horizontal. The shear modulus of wood is 1.00 × 1010
N/m2 and the strain modulus is 1.50 × 1010
N/m2.
Randomized Variablesf = 4.5
N
d = 2.3 cm
r = 2.4 mm
θ = 19 °...
can someone help me solve 5-7 5. Two particles of mass 1 kg each are attached...
can someone help me solve 5-7
5. Two particles of mass 1 kg each are attached to a massless rod a distance of 1 m and 2 m respectively from the axis of rotation. The axis of rotation is perpendicular to the rod. The angular speed of the system is I rad/s. What is the magnitude of the angular momentum of the system (in SI units)? 1kg - 1kg 1 m 2 m Lamur 3 A1 B. 4 1.1.2 Homes...
A block of mass 3.5 kg is sitting on a frictionless ramp with a spring at...
A block of mass 3.5 kg is sitting on a frictionless ramp with a
spring at the bottom that has a spring constant of 435 N/m (refer
to the figure). The angle of the ramp with respect to the
horizontal is 29°. show answer Incorrect Answer 33% Part (a) The
block, starting from rest, slides down the ramp a distance 52 cm
before hitting the spring. How far, in centimeters, is the spring
compressed as the block comes to momentary...
A student sits on a freely rotating stool holding two dumbbells, each of mass 2.93 kg...
A student sits on a freely rotating stool holding two dumbbells, each of mass 2.93 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.97 m from the axis of rotation and the student rotates with an angular speed of rad/s. The moment of inertia of the student plus stool is 2.75 kg m^2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.291 m from the...
A student sits on a freely rotating stool holding two dumbbells, each of mass 2.98 kg...
A student sits on a freely rotating stool holding two dumbbells, each of mass 2.98 kg . When his arms are extended horizontally , the dumbbells are 0.96 m from the axis of rotation and the student rotates with an angular speed of 0.747 rad/s. The moment of inertia of the student plus stool is 2.62 kg · m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.305 m from the rotation...
6. (BONUS) Two particles each with mass m = 0.4 kg, are fastened to each other, and to a rotation axis at 0, by the two thin rods, each of length d and mass M = 1.5 kg as shown below. The combination rotates around the rotation axis with angular speed w = 0.2 rad/s. The total moment of inertia of the system measured about O is 2.3 x 10-4 kg m?. (Hint: The moment of inertia of a thin...
The system above has two distinguishable particles, each can be
in either of two boxes. The system is in thermal equilibrium with a
heat bath at temperature, T. The energy of the particle is zero
when it's in the left box, and it is
when it is in the right box. There is a correlation energy term
that increases the system energy by
if the particles are in the same box.
If the particles are indistinguishable how many microstates will...
An
electric dipole consists of two particles, each having the same
mass, m. The two particles have the charges + q and - and are
separated by the distance d, as shown in the figure. At time t =0
turns on for a constant electric field E pointing along the
positive z-direction. The field causes the dipole to rotate. Derive
an expression of dipole angular acceleration vector a as soon as
the field has just been lit.
We were unable...
Suppose we want to calculate the
moment of inertia of a 67 kg skater, relative to a vertical axis
through their center of mass.
Part (a) First calculate the
moment of inertia (in kg⋅m2) when the skater has their
arms pulled inward by assuming they are cylinder of radius 0.11 m.
Part
(b) Now calculate the moment of inertia of the skater (in
kg⋅m2) with their arms extended by assuming that each
arm is 5% of the mass of their...
2) Moment of Inertia for Multiple Objects We have loosely defined the moment of inertia as the difficulty or resistance encountered when trying to change an object's rotational motion. What if we were trying to rotation a combination of objects? a. Suppose you have a very light cloth pouch, and you place an apple of mass M=200 grams in it. You tighten up the satchel and start to swing it around, with the string in the satchel making a length...
(10%)
Problem 9: When using a pencil
eraser, you exert a downward force of 4.5 N at a distance
of 2.3 cm from the hardwood-eraser joint. The pencil has a
2.4 mm radius and is held at an angle of 19° to
the horizontal. The shear modulus of wood is 1.00 × 1010
N/m2 and the strain modulus is 1.50 × 1010
N/m2.
Randomized Variablesf = 4.5
N
d = 2.3 cm
r = 2.4 mm
θ = 19 °...
can someone help me solve 5-7
5. Two particles of mass 1 kg each are attached to a massless rod a distance of 1 m and 2 m respectively from the axis of rotation. The axis of rotation is perpendicular to the rod. The angular speed of the system is I rad/s. What is the magnitude of the angular momentum of the system (in SI units)? 1kg - 1kg 1 m 2 m Lamur 3 A1 B. 4 1.1.2 Homes...
A block of mass 3.5 kg is sitting on a frictionless ramp with a
spring at the bottom that has a spring constant of 435 N/m (refer
to the figure). The angle of the ramp with respect to the
horizontal is 29°. show answer Incorrect Answer 33% Part (a) The
block, starting from rest, slides down the ramp a distance 52 cm
before hitting the spring. How far, in centimeters, is the spring
compressed as the block comes to momentary...
A student sits on a freely rotating stool holding two dumbbells, each of mass 2.93 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.97 m from the axis of rotation and the student rotates with an angular speed of rad/s. The moment of inertia of the student plus stool is 2.75 kg m^2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.291 m from the...
Most questions answered within 3 hours.
-
While rotating the tires on your car you notice a rock [mass =
0.1 Kg] stuck...
asked 28 minutes ago -
Using MARS simulator, write MIPS programs according to
the following scenarios: Receive a positive integer number...
asked 2 hours ago -
An object in front of a concave mirror has a real image that is
11.5 cm...
asked 2 hours ago -
Consider the reaction, C3 H8 + O2 --> CO2 + H2O. How many
moles of O2...
asked 4 hours ago -
You and your opponent both roll a fair die. If you both roll the
same number,...
asked 4 hours ago -
In a study of the accuracy of fast food drive-through orders,
Restaurant A had 257 accurate...
asked 4 hours ago -
Identify and describe in detail the four categories of
institutions that could be included in a...
asked 4 hours ago -
In python
class Customer:
def __init__(self, customer_id, last_name, first_name, phone_number, address):
self._customer_id = int(customer_id)
self._last_name =...
asked 4 hours ago -
What is an example of a limitation in implementing a new
ERP system and how it...
asked 4 hours ago -
In a section of 9.7cm of an artery with a radius of 2.6mm there
is a...
asked 4 hours ago -
the two carboxylic acid groups of aspartic acid have different
acidities with pKa values of 2.1...
asked 4 hours ago -
Would CuCO3 aqueous salt combined with calcium chloride
form a solid precipitate? If so, what would...
asked 4 hours ago