A square membrane has all four sides (length a) tightly clamped.
Some of its vibrational modes...
A square membrane has all four sides (length a) tightly clamped.
Some of its vibrational modes are also dampened by a clamp placed
at the center of the membrane. Find the first four distinct
vibrational frequencies of this "square drum."
Consider a rhombus that is not square (i.e., the four sides all have the same length, but the angles between sides is not 90°). Describe all the symmetries of the rhombus. Write down the Cayley table for the group of symmetries,
determine the symmetry types for all vibrational modes of
square-planar molecules and whether the mode would be IR active or
Raman active or neither. show the drawings. HINT the symmetries of
vibrational modes should be analogous to the symmetries of
SALCs.
Python Please
An n-sided regular polygon has all its sides of the
same length and all its angles of the same degree. It is also
called an equilateral and equiangular polygon. In this activity,
you will design a class named RegularPolygon that
contains:
A private int data attribute named n that
defines the number of sides of the polygon.
A private float attribute named side that
stores the length of the side.
The constructor ( __init__ method) that
creates a...
Let S be the square centered at the origin with sides of length
2, and C be the unit circle centered at the origin.
(a) If you randomly throw a point on S, what is the probability
that it will lie in C?
Ans: 0.785
(b) Describe how you could use simulation to estimate the
probability in part (a).
(c) How can you use simulation to estimate a?
For part b and c, there maybe a need to generate random...
A square loop of wire with sides of length 34 cm is in a uniform
magnetic field perpendicular to its area.
Part A
If the field's strength is initially 110 mT and it decays to
zero in 0.011 s , what is the magnitude of the average emf induced
in the loop?
Part B
What would be the average emf if the sides of the loop were only
17 cm ?
Express your answer using two significant figures.
Four charges of magnitude +q are placed at the corners of a
square whose sides have a length d. What is the magnitude of the
total force exerted by the four charges on a charge Q located a
distance b along a line perpendicular to the plane of the square
and equidistant from the four charges? Ans: bqQ/πε 0 (b2 + d2 / 2)
how to get this answer?
Four masses are at the corners of a square of length ℓ = 20.0 cm
and a fifth mass is at the center of the square. The masses are
m1 = 5.00 g, m2 = 3.00 g,
m3 = 1.00 g, m4 = 5.00 g,
and m5 = 1.50 g.
a-Draw the free body diagram for fifth mass.
b-Determine the net gravitational force on the fifth mass in
unit vector notation.
4. Define the width of a rectangle as the longest length of
its sides. Given a closed
rectangle A in Rn and a partition P of A, define the mesh of P
as the maximum
width of its subrectangles. Prove that a bounded function f :
A → R is integrable
on A if and only if, for every > 0, there is a δ > 0
such that U(f, P) − L(f, P) <
for every partition P of...
In the figure, a square of edge length 22.0 cm is formed by four
spheres of masses m1 = 4.70 g, m2 = 2.50 g, m3 = 1.40 g, and m4 =
4.70 g. In unit-vector notation, what is the net gravitational
force from them on a central sphere with mass m5 = 2.40 g?
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?