Question

Three small balls of mass 3.6 kg, 1.7 kg, and 3.8 kg are connected by light...

Three small balls of mass 3.6 kg, 1.7 kg, and 3.8 kg are connected by light rods laying along the y-axis. The rod connecting the first and second balls is 4.1 m long and the rod connecting the second and third balls is 2.5 m. The entire system rotates around the x-axis, which is between the first and second balls and a distance 2.1 m from the first ball, at a rotational speed 1.8 s-1

(a) What is the moment of inertia of the system with respect to the center of mass

(b) What is the moment of inertia due to the shift of the rotational axis from the center of mass to the x-axis?

(c) What is the moment of inertia of the system around the x-axis?

(d) What is the linear speed of the system?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Three small balls of mass 3.6 kg, 2.4 kg, and 3.9 kg are connected by light...
Three small balls of mass 3.6 kg, 2.4 kg, and 3.9 kg are connected by light rods laying along the y-axis. The rod connecting the first and second balls is 4.8 m long and the rod connecting the second and third balls is 2 m. The entire system rotates around the x-axis, which is between the first and second balls and a distance 2.9 m from the first ball, at a rotational speed 2.6 s-1. (a)What is the distance of...
Three small balls of mass 4.9 kg, 1.7 kg, and 3.3 kg are connected by light...
Three small balls of mass 4.9 kg, 1.7 kg, and 3.3 kg are connected by light rods laying along the y-axis. The rod connecting the first and second balls is 4.8 m long and the rod connecting the second and third balls is 1.5 m. The entire system rotates around the x-axis, which is between the first and second balls and a distance 3 m from the first ball, at a rotational speed 1.6 s-1 What is the moment of...
I already have parts A through D, so no need to work those out again. Just...
I already have parts A through D, so no need to work those out again. Just need E through P. Thanks. Three small balls of mass 3.7 kg, 2.4 kg, and 3 kg are connected by light rods laying along the y-axis. The rod connecting the first and second balls is 4.8 m long and the rod connecting the second and third balls is 1.9 m. The entire system rotates around the x-axis, which is between the first and second...
A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the...
A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the center. The disk has mass md = 3 kg and radius R = 0.24 m. The rods each have mass mr = 1.2 kg and length L = 0.72 m. 1) What is the moment of inertia of each rod about the axis of rotation? kg-m2 2) What is the moment of inertia of the disk about the axis of rotation? kg-m2 3) What...
In the figure, two particles, each with mass m = 0.86 kg, are fastened to each...
In the figure, two particles, each with mass m = 0.86 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.4 cm and mass M = 1.2 kg. The combination rotates around the rotation axis with angular speed ω = 0.33 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy?
Four straight rods are each 1.0m, with masses 1.0 kg, 2.0kg, 3.0 kg and 4.0kg. The...
Four straight rods are each 1.0m, with masses 1.0 kg, 2.0kg, 3.0 kg and 4.0kg. The rods form a square in the xy-plane so that the 1.0kg rod is placed along the x-axis with its left end at the origin. The 2.0kg rod is placed along the y-axis with its lower end in the origin. The 3.0kg rod is parallell with the x-axis. a) Find the square's center of mass (draw a figure). b) Calculate the square's moment of inertia...
A 1.50-kg rod 1.00m long has a 2.00-kg mass attached to one end and a 4.00-kg...
A 1.50-kg rod 1.00m long has a 2.00-kg mass attached to one end and a 4.00-kg mass attached to the other. The system rotates at a constant angular speed about a fixed axis perpendicular to the rod that passes through the rod 40.0 cm from the end with the 4.00-kg mass attached. The angular speed of the system is 150 rad/s. a) What is the total moment of inertia of this system (including the rod and two masses) about the...
Two Balls and a Thin Rod Two balls of mass 2.43 kg are attached to the...
Two Balls and a Thin Rod Two balls of mass 2.43 kg are attached to the ends of a thin rod of negligible mass and length 60 cm. The rod is free to rotate without friction about a horizontal axis through its center. A putty wad of mass 126 gdrops onto one of the balls, with a speed 2.6 m/s, and sticks to it. What is the angular speed of the system just after the putty wad hits? What is...
A solid circular disk has a mass of 1.2 kg and a radius of 0.19 m....
A solid circular disk has a mass of 1.2 kg and a radius of 0.19 m. Each of three identical thin rods has a mass of 0.13 kg. The rods are attached perpendicularly to the plane of the disk at its outer edge to form a three-legged stool (see the drawing). Find the moment of inertia of the stool with respect to an axis that is perpendicular to the plane of the disk at its center. (Hint: When considering the...
Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates...
Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 3.20 rad/s. An x y plane is shown. Three particles are all connected to each other by two rigid rods that are along the y-axis. The 4.00 kg particle is located at y = 3.00 m. The 2.00 kg particle is located at y = −2.00 m. The 3.00 kg mass is located at y...