Problem 3 (1 point) Suppose that a body undergoes some motion. To track this motion, we...

Question

Question

Problem 3 (1 point) Suppose that a body undergoes some motion. To track this motion, we mark three initial points and track where they are at some later point in time. If the initial marker points are given by the position vectors, 0 0 and at a later time point, the position vectors for these points are given by, does the body satisfy the conditions for rigid body motion? Explain why or why not.

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Th stavte ehosen any to peints on the bod numains independent 4 type 4/ motor) Compdlen tuwo points A ord 8 s Tau - Tha olistau te tho A and B Givern

Add a comment

Answer 2

Similar Homework Help Questions

3. Prove that for a general rigid body motion about a fixed point, the time variation...

3. Prove that for a general rigid body motion about a fixed point, the time variation of he kanetuc energy T is given by dT dt
10. Move the Motion Sensor. Place the Motion Sensor at the bottom of the track pointing...

10. Move the Motion Sensor. Place the Motion Sensor at the bottom of the track pointing up the track. 11. Check the Motion Sensor. Start with the cart at least 50 em in front of the sensor. Practice pushing the cart up the track so the cart doesn't go over the top of the track and stopping the cart before it gets within the 50 em of the sensor. Start the sensor and push the carit up the track. Stop...
6. [20 points] The following nonlinear differential equations describe the motion of a body in orbit...

6. [20 points] The following nonlinear differential equations describe the motion of a body in orbit around two much heavier bodies. An example would be an Apollo capsule in an Earth-moon orbit. The three bodies determine a two-dimensional Cartesian plane in space The origin is at the center of mass of the two heavy bodies, the r-axis is the line through these two bodies, and the distance between their centers is taken as the unit. Thus, if μ is the...

A particle undergoes simple harmonic motion (SHM) in one dimension. The r coordinate of the particle...

A particle undergoes simple harmonic motion (SHM) in one dimension. The r coordinate of the particle as a function of time is r(t)Aco() where A is the called the amptde" and w is called the "angular frequency." The motion is periodic with a period T given by Many physical systems are described by simple harmonic motion. Later in this course we will see, for example, that SHM describes the motion of a particle attached to an ideal spring. (a) What...
7. Do the projectile motion General Motion with Unit Vectors and Components An object undergoes the...

7. Do the projectile motion General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker...
Exercise 7.4.* Suppose that at a Jacobian and gradient given by point , a nonlinear equality constrained problem has 1...

Exercise 7.4.* Suppose that at a Jacobian and gradient given by point , a nonlinear equality constrained problem has 1 -3 -3 6 8 -1 -8 and Vf() ()f -6 2 0 2 -7 2 Does t satisfy the first-order necessary conditions for a local constrained minimizer? If not, find unique vectors g^ E null(J(r)) and gn E range(J( such that Vf(x) Hence find a vector direction p such that Vf (x)"p < 0 and J(f)p = 0. = gR...

TACTICS BOX 1.5 Drawing a pictorial representation Draw a motion diagram. The motion diagram develops your...

TACTICS BOX 1.5 Drawing a pictorial representation Draw a motion diagram. The motion diagram develops your intuition for the motion and, especially important, determines whether the signs of v? and a? are positive or negative. Establish a coordinate system. Select your axes and origin to match the motion. For one-dimensional motion, you want either the x axis or the y axis parallel to the motion. Sketch the situation. Not just any sketch. Show the object at the beginning of the motion, at...
7. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

7. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
6. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

6. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...

5. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

5. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...

Problem 3 (1 point) Suppose that a body undergoes some motion. To track this motion, we...

Homework Answers

Add Answer to:
Problem 3 (1 point) Suppose that a body undergoes some motion. To track this motion, we...

Post as a guest

Earn Coins

3. Prove that for a general rigid body motion about a fixed point, the time variation...

10. Move the Motion Sensor. Place the Motion Sensor at the bottom of the track pointing...

6. [20 points] The following nonlinear differential equations describe the motion of a body in orbit...

A particle undergoes simple harmonic motion (SHM) in one dimension. The r coordinate of the particle...

7. Do the projectile motion General Motion with Unit Vectors and Components An object undergoes the...

Exercise 7.4.* Suppose that at a Jacobian and gradient given by point , a nonlinear equality constrained problem has 1...

TACTICS BOX 1.5 Drawing a pictorial representation Draw a motion diagram. The motion diagram develops your...

7. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

6. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

5. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

Problem 3 (1 point) Suppose that a body undergoes some motion. To track this motion, we...

Homework Answers

Add Answer to: Problem 3 (1 point) Suppose that a body undergoes some motion. To track this motion, we...

Post as a guest

Earn Coins

Add Answer to:
Problem 3 (1 point) Suppose that a body undergoes some motion. To track this motion, we...