Question

Four particles, one of each of the four corners of a square with length L = 1.9 m, are connected by massless rods. (see figure). The masses of the particles are m1 = m3 = 2.7 kg and m2 = m4 = 3.6 kg.

(a) Use the parallel-axis theorem to find the moment of inertia of the four-particle system in the figure below about an axis that passes through the center of mass and is parallel with the z axis. (Let IzIcmM, and h be the moment inertia of the system about the z axis, the moment of inertia of the system with respect to an axis through the center of mass, the mass of the system, and the distance between the parallel axes, respectively.) (Use the following as necessary: Mh, and Iz. Do not substitute numerical values; use variables only.) (solved)
Icm = Iz​−M(h2)

(b) Check your result by direct computation. (unsolved)

Icm =

y
L
-
m3
m2
z
Expand
Transcribed Image Text

y L - m3 m2 z

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Science
Physics

Related Physics Q&A

Find answers to questions asked by students like you.

Q: During the time 0.325 mol of an ideal gas undergoes an isothermal compression at 22.0∘C, 392 J of wo...

A: Given information:

Q: A 3.45×103 kg train is stopped at a station. The train must go around a 149 m diameter corner right ...

A: Consider a train of mass, m travels with a constant force, F takes a turn around the corner of diame...

Q: A bag of sugar weighs 1.50 lb on Earth. What would it weigh in newtons on the Moon, where the free-f...

A: Let the mass of the sugar bag be denoted by m.Let the weight of the sugar bag on the earth be denote...

Q: N4T.1 Aweight hangs from a string but is pulled to one side by a horizontal string, as shown. The te...

A: Write the expression for net force acting on the weight in the vertical direction

Q: Week 5 Fall 2019 Two person race with acceleration and deceleration 14 of 15 IReview | Constants Mar...

A: Given:Speed of Mary = 4 m/sSpeed of sally = 5 m/sDistance of Sally from finish line = 22-5 = 17 mDis...

Q: When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This ex...

A: Given:Radius of a star = RRadius of supernova shell = 3.9RNumber of revolutions of star per day = 1....

Q: uestion 10 A proton with a kinetic energgy of 0.20 keV follows a circular path in a region where the...

A: Click to see the answer

Q: A horizontal force of 88.2 N is applied to a 30.5 kg crate on a rough, level surface. If the crate a...

A:  Here, the net force, Fnet = 88.2NMass of the crate, m = 30.5kgAcceleration of the crate, a = 1.08 m...

Q: 6.ab

A: The formula for the power in terms of current and potential difference is:

Q: 9-9 CHAPTER 9 Work and Kinetic Energy 23. In Example 9.9 in the textbook, a compressed spring with a...

A: Click to see the answer

Q: X Book a Flight: Best Join conversation Course Home X A-Z Databases whitworth Library Pirate Port | ...

A: Consider that the force applied by the person is “F” which causes tension in the string. The situati...

Q: Determine the magnitude of V1−V2+V3. V1=8.0i^−9.0j^ V2=i^+j^ V3=−1.0i^+4.0j^.

A: The vectors are V1=8.0i-9.0j, V2=i+j, andV3=-1.0i+4.0j.

Q: What is the Froude number given the following?

A: Write an expression for Froude number

Q: A pendulum consisting of a string of length L attached to a bob of mass m swings in a vertical plane...

A: Given:

Q: 6. A child grabs the edge of a merry-go-round and runs counterclockwise (looking down on the merry-g...

A: Write the expression for angular velocity

Q: Part A:  How much gravitational potential energy must a 3030-kg satellite acquire in order to attai...

A: A)the gravitational potential energy is,  Here, r is the radius of geosynchronous orbit.

Q: A gyroscope slows from an initial rate of 34.4 rad/s at an angular acceleration of 0.74 rad/s2. How ...

A: An initial angular speed of a gyroscope,Final angular speed of a gyroscope,An angular acceleration,

Q: According to one model, the density of Earth varies with the distance r from the center of Earth as ...

A: Given,

Q: The principle of relativity was recognised as both a mechanical and optical effect. Einstein believe...

A: Part A:The answer to the question is that the he can see his reflection in the mirror.Part B:His con...

Q: You pull downward with a force of 30 N on a rope that passes over a disk-shaped pulley of mass 1.5 k...

A: Tension due to Downward pull:

Q: 5 Which object has the most inertia? (1) a 0.001-kilogram bumblebee traveling at 2 meters peřsecond ...

A: Inertia is the tendency of an object to resist any change in its position.A body with more mass poss...

Q: 2- The electric potential at y =5 m is 100 V, and the electric potential at y=10 m is 170 V,assuming...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Calculate the magnitude of the linear momentum for the following cases. (a) a proton with mass 1.67 ...

A: a)write the expression for the linear momentum

Q: An automobile traveling 75.0 km/h has tires of 66.0 cm diameter. (a) What is the angular speed of th...

A: a)The angular speed is,

Q: What energy transformations are involved when a dragster engine is revved, its clutch let out rapidl...

A: When a dragster engine is revved first in the internal combustion engine the chemical energy of the ...

Q: Suppose that you are holding a pencil balanced on its point. If you release the pencil and it begins...

A: Consider the situation in the diagram given below.

Q: An ant walks on a piece of graph paper straight along the r axis a distance of 10.0 cm in 1.80 s . I...

A: Draw the diagram of the position of the ant.

Q: An object of a material A of density 10.6 g/cm3 is placed in a tub of mercury (density 13.6 g/cm3). ...

A: Given,

Q: The parachute on a race car of weight 8,810 N opens at the end of a quarter-mile run when the car is...

A: The acceleration of the car can be calculated as follows,

Q: As a protest against the umpire's calls, a baseball pitcher throws a ball straight up into the air a...

A: Given,

Q: A particle moves in a circle of radius 68 m with a constant speed of 21 m/s. (a) What is its angular...

A: Use the rotational analogue of the second kinematic equation given as,

Q: X Incorrect. In the figure, four long straight wires are perpendicular to the page, and their cross ...

A: Each wire produces a field with magnitude given by,

Q: CH 18, Problem 41 Four charges with equal magnitudes of 6.69 × 10-12 C are placed at the corners of ...

A: Four charges with equal magnitudes are placed at the corners of a rectangle.

Q: A hiker, wo weights 911 N, is strolling through the woods and crosses a small horizontal bridge. The...

A: a)

Q: Problem-2 A spring is hanging from the ceiling at its equilibrium. A mass of 275g is added to the sp...

A: (a) For a simple harmonic motion,

Q: A surveyor measures the distance across a straight river by the following method: Starting directly ...

A:  The distance travelled along the blank to establish the baseline, x = 112m.The angle from the basel...

Q: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A pu...

A: Click to see the answer

Q: If the system shown in the figure below is set in rotation about each of the axes listed below, find...

A: The rotation about x-axis is,

Q: Given that the blocks are accelerating towards the right direction, how do I find the answer?

A: In this case, both block and apply forces are in horizontal direction.Using Newton’s second law, the...

Q: B) 70 C) 140 160 tish smms bela the surtace at the nater at p Whane shald to catuh it a tishorman th...

A: For the refraction of fish,

Q: Chapter 11, Problem 043 In the figure, two skaters, each of mass 55.6 kg, approach each other along ...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: Ch 18, Problem 58 A charge Q is located inside a rectangular box. The electric flux through each of ...

A: According to Gauss law, the total electric flux though a closed surface is directly proportional to ...

Q: (a) Calculate the angular momentum of Earth that arises from its spinning motion on its axis, treati...

A: (a). the moment of inertia of the sphere is

Q: Astronauts on a distant planet set up a simple pendulum of length 1.20 m. The pendulum executes simp...

A: Write the expression for time period of a simple pendulum.

Q: You pull on a string with a horizontal force of magnitude Fyb = 32 N that is attached to a block of ...

A: Click to see the answer

Q: As a protest against the umpire's calls, a baseball pitcher throws a ball straight up into the air a...

A: Given,

Q: 52. A vector makes an angle 0 with the horizontal. The horizontal and vertical components of the vec...

A: The horizontal component of the vector is given as,

Q: A freight train has a mass of 1.0 ✕ 107 kg. If the locomotive can exert a constant pull of 7.3 ✕ 105...

A: Given,

Q: Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and i...

A: Given:

Q: Week 5 Fall 2019 Three vectors 13 of 15 Review | Constants Consider three vectors AB and C all lying...

A: Part A:The vector A can be expressed in terms of their components as,The vector B can be expressed i...