Question

An object is not necessarily in equilibrium when ΣF = 0. Give an example of when this would be true. Explain what must be true in order for an object to actually be in equilibrium.

Answer #1

Although a competitive equilibrium is always Pareto efficient, a
Pareto efficient outcome is not necessarily a competitive
equilibrium. Explain. (It is sufficient to give an example of a
Pareto efficient outcome that is not a competitive equilibrium and
explain why it is not.)

what is the physical conditions for a rigid object to be at static
equilibrium? Give an example with diagrams and equations.

What is a virtual object? Give an example of a case wherein an
object is deemed virtual.

Macroeconomics
According to the Keynesian perspective, when GDP is at
equilibrium it is not necessarily at an optimal state.
t. Start a Keynesian cross graph by labeling each axis and
drawing the Planned Expenditure and Consumption lines. u. How can
we view the gap between the Planned Expenditure and Consumption
lines? To answer this question, include the equation for Planned
Expenditures in your response. v. The economy is at equilibrium
when aggregate income is equal to aggregate expenditures. Draw an...

Explain (in detail) the steps when it comes to the order of
operations. Give an example of each.

a. give an example of an object that has zero net force acting
on it, but experienced a net torque
b. give an example of an object that has zero net torque acting
on it, but experiences a net force.

Give an example of each object described below, or explain why
no such object exists:
1. A group with 11 elements that is not cyclic.
2. A nontrivial group homomorphism f : D8 −→ GL2(R).
3. A group and a subgroup that is not normal.
4. A finite integral domain that is not a field.
5. A subgroup of S4 that has six elements.

Give an example of a sequence that converges to 0 with order alpha=
10

A gas, not necessarily in thermal equilibrium, consists of N
particles, the speed distribution is not necessarily
Maxwellian.
(a) Show that Vrms≥Vaverage regardless of
the distribution of speeds.
(b) What would the equality hold?

(a) Show that A ⊆ NG(A) is not necessarily true when
A is not a subgroup of G, but just a subset.
(b) Let H be a subgroup of order 2 in G. Show that
NG(H) = CG(H).
(c) Show that H ≤ CG(H) if and only if H is
abelian.

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