Find the product from the multiplication table for the
symmetries of an equilateral triangle the new...
Find the product from the multiplication table for the
symmetries of an equilateral triangle the new permutation notation
to verify each of the following:
Find two distinct subgroups of order 2 of the group D3 of
symmetries of an equilateral triangle. Explain why this fact alone
shows that D3 is not a cynic group.
Three rods each of mass m and length I are joined together to form an equilateral triangle as shown in figure. Find the moment of inertia of the system about an axis passing through its centre of mass and perpendicular to the plane of triangle.
In two vertexes of an equilateral triangle located charge +q and
–2q. Find vector of electric field in the third vertex if length of
the side of the triangle is a. Diagram is a MUST.
1. Treacherous Triangle Trickery. Consider a charge distribution
consisting of an equilateral triangle with a point charge q fixed
at each of its vertices. Let d be the distance between the center
of the triangle and each vertex, let the triangle’s center be at
the origin, and let one of its vertices lie on the x-axis at the
point x = −d.
1.1. Compute the electric field at the center of the triangle by
explicitly computing the sum of the...
Three point charges are located at the corners of an equilateral
triangle as in the figure below. Find the magnitude and direction
of the net electric force on the 1.70 µC charge. (A = 1.70
µC, B = 7.20 µC, and C = -4.30 µC.)
Magnitude N
Direction degree (Counterclockwise from the + X-axis)
Let D3 be the symmetry group of an equilateral triangle. Show
that the subgroup H ⊂ D3 consisting of those symmetries which are
rotations is a normal subgroup.
The three charges are at the three vertices of an
equilateral triangle ?( all angles are 60degrees)
q 1 = + 10.0 µC
q 2 = - 5 .0 nC
q 3 = + 8 .0 nC
Equilateral side of the triangle = 0.05 m.
A. Draw forces acting on q 1
by q 2and q 3
B. find the components on X and Y axes .
C. Use Pythagorean theorem to find the resultant .
D. Use tangent to find the direction ( angle ) the resultant...
A prism made of flint glass has a cross section that is an
equilateral triangle. The index of refraction for red and violet
light respectively in flint glass is 1.662 and 1.698. If as shown
in the figure, the angle of incidence in air for both colors of
light is 75.1