Consider three particles that interact with internal forces given by ? ⃗ 1→2, ? ⃗ 3→1,...

Consider three particles that interact with internal forces given by ? ⃗ _1→2, ? ⃗ _3→1, etc. The total
force on the system is the sum of these internal forces with any external forces
(? ⃗ _i_,_ext , ?ℎ??? ? = 1,2,3). By writing out the sum explicitly, use Newton’s third law to prove that
the total acceleration of the system is only due to the external forces.

Expert Solution

genius_generous answered 2 years ago

In a closed, isolated system of particles, forces internal to the system do not change the...

In a closed, isolated system of particles, forces internal to the system do not change the motion of the system as a whole. The velocity of the center of mass of such a system is unchanged unless the system is impacted by some net external force. In this context, and with the aid of a single illustration, explain what is meant by a) internal force, and b) external force. c) Explain why internal forces have no effect on the system’s...

Let's consider a rigid system with three particles. Masses of these particles m1 = 3 kgs,...

Let's consider a rigid system with three particles. Masses of these particles m1 = 3 kgs, m2 = 4 kg, m3 = 2 kgs, and their positions are (1, 0, 1), (1, 1, -1) and Let it be (1, -1, 0). Locations are given in meters. a) What is the inertia tensor of the system? b) What are the main moments of inertia? c) What are the main axes? THERE IS NO MORE INFORMATION AND PICTURE FOR THIS QUESTION, TY...

Suppose the internal supply curve is given by P=6+(2/3)Q, the internal demand curve is given by...

Suppose the internal supply curve is given by P=6+(2/3)Q, the internal demand curve is given by P=12-(1/3)Q, and the social supply curve is given by P=9+(2/3)Q. a. (3 points) Algebraically solve for the coordinates of the market equilibrium and the coordinates of the social optimum. b. (3 points) Labelling everything, graph these three curves and clearly indicate the market equilibrium, the social optimum, and the triangle corresponding to the deadweight loss. (In the interest of time, you do NOT have to draw...

Consider the matrix A given by [ 2 0 0 ] [ 0 2 3 ]...

Consider the matrix A given by [ 2 0 0 ] [ 0 2 3 ] [ 0 3 10 ] (20) Find all its eigenvalues and corresponding eigenvectors. Show your work. (+5) Write down the entire eigendecomposition (i.e. the matrices X, Lambda, and X inverse) explicitly.

Consider three players (1, 2, 3) and three alternatives (A, B, C). Players vote simultaneously for...

Consider three players (1, 2, 3) and three alternatives (A, B, C). Players vote simultaneously for an alternative and abstention is not allowed.The alternative with more votes wins. If no alternative receives a majority, alternative A is chosen. U1 (A) = U2 (B) = U3 (C) = 2 U1 (B) = U2 (C) = U3 (A) = 1 U1 (C) = U2 (A) = U3 (B) = 0 Obtain all Nash equilibria in pure strategies.

1) a) An object is at rest. Internal forces then cause it to separate into two...

1) a) An object is at rest. Internal forces then cause it to separate into two moving pieces. If one piece has a linear momentum of +10 kg m/s, what is the linear momentum of the other piece? Explain your answer. b) A frictionless, horizontal spring vibrates with simple harmonic motion; a frictionless, vertical spring does not, even if it obeys Hooke’s Law. Explain why. (BASE YOUR ANSWER ON THE DEFINITION OF SIMPLE HARMONIC MOTION). c) When a crack forms...

Consider a system of three particles with three energy eigenstates of 0, 3ε and 5ε. Write...

Consider a system of three particles with three energy eigenstates of 0, 3ε and 5ε. Write the partition function for three particle system. a) If the particles are non-identical b) If the particles are obeying Bose-Einstein statistics. c) If the particles are obeying Fermi-Dirac statistics

Consider a city with three consumers: 1, 2, and 3. The city provides park land for...

Consider a city with three consumers: 1, 2, and 3. The city provides park land for the enjoyment of its residents. Parks are a public good, and the amount of park land (which is measured in acres) is denoted by z. The demands for park land for the three consumers are as follows: D1 =40–z, D2 =30–z, D3 =20–z. These formulas give the height of each consumer’s demand curve at a given level of z. Note that each demand curve...

Question 2: (A) Marketing Environment is the combination of external and internal factors and forces which...

Question 2: (A) Marketing Environment is the combination of external and internal factors and forces which affect the company’s ability to establish a relationship and serve its customers. How the Marketing environmental influences and affect the business located in the UAE country. Explain in your own word with an example? (5 Marks, Word Limit 200-350) (B) Together partnership firm producing and selling different high quality daily necessary goods like milk products, fancy products, soft drinks etc. at high price compared...

1- Three forces act on a point: 3 N at 0°, 4 N at 90°, and...

1- Three forces act on a point: 3 N at 0°, 4 N at 90°, and 5 N at 217°. a. What is the net force? b. What fourth force will put the point in equilibrium? 2- A 100 kg wooden crate rests on a wooden ramp with an adjustable angle of inclination. a. Draw a free body diagram of the crate. b. If the angle of the ramp is set to 10°, determine... i. the component of the crate's...

Question