The masses and coordinates of four particles are as follows: 45 g, x = 1.0 cm,...

The masses and coordinates of four particles are as follows: 45 g, x = 1.0 cm, y = 2.0 cm; 45 g, x = 0.0 cm, y = 4.0 cm; 25 g, x = -3.0 cm, y = -3.0 cm, 30 g, x = -1.0 cm, y = 4.0cm. What is the rotational inertia of this collection with aspect to the x-axis ( kg m²)?

What is the rotational inertia of this collection with aspect to the y-axis?

What is the rotational inertia of this collection with aspect to the z-axis?

Expert Solution

genius_generous answered 2 years ago

The masses and coordinates of three particles are as follows: 20.0 kg, (0.50, 1.00) m; 361.0...

The masses and coordinates of three particles are as follows: 20.0 kg, (0.50, 1.00) m; 361.0 kg, (-1.00, -1.00) m; 54.0 kg, (0.00, -0.50) m. What is the gravitational force on a 20.0 kg sphere located at the origin due to the other spheres, magnitude and direction? Give the direction as an angle in degrees counter clockwise with respect to the the + x-axis.

Four point masses are arranged as follows: m1 = 5.76 g at (0,19.6 cm), m2 =...

Four point masses are arranged as follows: m1 = 5.76 g at (0,19.6 cm), m2 = 2.25 g at (19.6, 0) cm, m3 = m1 at (0,-19.6) cm and m4 = m2/.49 at (-19.6, 0) cm. These are all immovable a) In unit vector notation, what is the net gravitational force from them on a point with mass m5 = 2.56 g at the origin? b) If m5 was free to move and released from rest what will its speed...

The masses and coordinates of three spheres are as follows: Sphere 1: 14 kg, x =...

The masses and coordinates of three spheres are as follows: Sphere 1: 14 kg, x = 2.25 m, y = 2.00 m Sphere 2: 38 kg, x = -2.00 m, y = -2.50 m Sphere 3: 52 kg, x = 0.00 m, y= -0.25 m What is the magnitude of the gravitational force on a 22 kg sphere located at the origin due to the other spheres?

The masses and coordinates of three spheres are as follows: 22 kg, x = 1.25 m,...

The masses and coordinates of three spheres are as follows: 22 kg, x = 1.25 m, y = 2.25 m; 34 kg, x = -1.00 m, y = -3.25 m; 56 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 16 kg sphere located at the origin due to the other spheres?

The masses and coordinates of three spheres are as follows: 22 kg, x = 1.25 m,...

The masses and coordinates of three spheres are as follows: 22 kg, x = 1.25 m, y = 2.25 m; 34 kg, x = -1.00 m, y = -3.25 m; 56 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 16 kg sphere located at the origin due to the other spheres?

Four particles are in a 2-D plane with masses, x- and y- positions, and x- and...

Four particles are in a 2-D plane with masses, x- and y- positions, and x- and y- velocities as given in the table below: m x y vx vy 1 7.6 kg -2.6 m -4.7 m 3 m/s -4.1 m/s 2 9.3 kg -3.5 m 3.6 m -4.9 m/s 5 m/s 3 8.9 kg 4.4 m -5.5 m -5.9 m/s 2 m/s 4 8.6 kg 5.4 m 2.5 m 4.2 m/s -2.9 m/s 1) What is the x position of...

-Four masses are placed along the x − a x i s as follows. A mass...

-Four masses are placed along the x − a x i s as follows. A mass of 2.0 k g is placed at x = 3.0 m, a mass of 6.0 k g is placed at x = 1.0 m, a mass of 4.0 k g is placed at x = − 2.0 m, and finally a mass of 1.0 k g is placed at x = − 4.0 m. Where is the center of mass of this system of...

1. A system of three particles consists of masses Mi and coordinates (x1, x2, x3) as...

1. A system of three particles consists of masses Mi and coordinates (x1, x2, x3) as follows: M1=m,(a,0,0) M2=3m,(0,a,a) M3=4m,(0,a,-a) a) Calculate all elements of the inertia tensor for the system. b) Find the principal moments of inertia and a set of ortho-normal principle axes.

In the figure the four particles form a square of edge length a = 6.40 cm...

In the figure the four particles form a square of edge length a = 6.40 cm and have charges q1 = 8.91 nC, q2 = -19.0 nC, q3 = 19.0 nC, and q4 = -8.91 nC. What is the magnitude of the net electric field produced by the particles at the square's center?

Four spheres, with masses m1=235 kg, m2=525 kg, m3=1950 kg, and m4=420 kg, have (x,y)-coordinates of...

Four spheres, with masses m1=235 kg, m2=525 kg, m3=1950 kg, and m4=420 kg, have (x,y)-coordinates of (0, 50.0) m, (0, 0), (-80.0,0) m, and (40.0, 0) m, respectively. What is the magnitude of the net gravitational force on m2 due to the other masses?

Question

The masses and coordinates of four particles are as follows: 45 g, x = 1.0 cm,...

Solutions

Expert Solution

Related Solutions

The masses and coordinates of three particles are as follows: 20.0 kg, (0.50, 1.00) m; 361.0...

Four point masses are arranged as follows: m1 = 5.76 g at (0,19.6 cm), m2 =...

The masses and coordinates of three spheres are as follows: Sphere 1: 14 kg, x =...

The masses and coordinates of three spheres are as follows: 22 kg, x = 1.25 m,...

The masses and coordinates of three spheres are as follows: 22 kg, x = 1.25 m,...

Four particles are in a 2-D plane with masses, x- and y- positions, and x- and...

-Four masses are placed along the x − a x i s as follows. A mass...

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In the figure the four particles form a square of edge length a = 6.40 cm...

Four spheres, with masses m1=235 kg, m2=525 kg, m3=1950 kg, and m4=420 kg, have (x,y)-coordinates of...