Homework Answers
Add Answer to:
2. To rotate a point in the plane you must figure out how to rotate the...
(17) You rotate by some angle starting at (1,0). You land at a point in quadrant...
(17) You rotate by some angle starting at (1,0). You land at a point in quadrant 2 with y-coordinate Evaluate all six trig functions at 0.
You may use a calculator and/or computer to carry out calculations. However you must show a...
You may use a calculator and/or computer to carry out calculations. However you must show a sufficient amount of work to clearly communicate your solution to the reader. [A] Consider the L-shaped polygon with vertices: (-1,0), (1,0), (1,1), (0,1), (0,3), and (-1,3) shown to the right. Find the standard matrix for each of the transformations described below. Then use matrix multiplication to obtain the coordinates for the 6 vertices that result from applying the transformation to the vertices of the...
In this exercise you will figure out the equipotential point/points(s)/line/surface in the xy plane where V...
In this exercise you will figure out the equipotential point/points(s)/line/surface in the xy plane where V = 0 for two point charges of charge q and -2q found respectively at (x,y,z) = (-1,0,0) and (x,y,z) = (1,0,0), and draw the result on Fig. ??. (a) Given that V is a scalar, equipotentials generally form surfaces in three di- mensions. This contrasts with the electric field, where we found only one position where it was zero for a pair of point...
05 (20pts): The rod AB can rotate about point A as shown in the figure. During...
05 (20pts): The rod AB can rotate about point A as shown in the figure. During the rotation the collar C slides outward along AB. At any time instant the distance between the center of rotation and instantaneous position of the collar is r and given as a function of timer 407 wherer is in seconds. Similarly the angle between the x axis and instantaneous location of the collar is described as 0 =0.81'. O is given in radians. Determine...
2. Two equal masses are attached to a massless hoop of radius R that is free to rotate about its ...
2. Two equal masses are attached to a massless hoop of radius R that is free to rotate about its center in a vertical plane. The angle between the masses is 20, as shown in Fig. 2. Let α be the angle of rotation of the hoop measured from its equilibrium. ? (a) (15 points) what is the Lagrangian of the system钉n terms cS o (b) (10 points) What is the frequency of small oscillations of the hoop? Figure 2:...
10.) (a) In the drawing below, the flat triangle ABC lies in the plane of the...
10.) (a) In the drawing below, the flat triangle ABC lies in the plane of the paper. Angle Bisa right angle. The triangle is going to rotate about an axis that also lies in the plane of the paper and passes through the point A. Draw such an axis that passes through point A and is oriented such that points B and C will move in circular paths having the same radii. Can you draw a second axis of rotation,...
A model airplane competition has the following rules: Each plane must fly to a point 1...
A model airplane competition has the following rules: Each plane must fly to a point 1 km from the start and then back again. The point km winner is the plane with the shortest round-trip time. The contestants are free to launch their planes in any direction, so long as the plane travels exactly 1 km out and then returns. On the day of the race, a steady wind blows from the north at 8.5 m/s. Your plane can maintain...
Find a point-normal equation of the plane passing through points A(1,-1,0), B(0, 0, 2) and C(0,3,1).
Find a point-normal equation of the plane passing through points A(1,-1,0), B(0, 0, 2) and C(0,3,1).
If you were to figure out the tangent plane to the curve: z = cos(xy) at...
If you were to figure out the tangent plane to the curve: z = cos(xy) at x=2, y =0.757, what would the coefficient in front of the x term be in that tangent plane formula? ROUND YOUR ANSWER TO ONE DECIMAL PLACE. YOU SHOULD USE RADIANS FOR THIS PROBLEM
2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It...
The 5th page of lecture 24:
2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
(17) You rotate by some angle starting at (1,0). You land at a point in quadrant 2 with y-coordinate Evaluate all six trig functions at 0.
You may use a calculator and/or computer to carry out calculations. However you must show a sufficient amount of work to clearly communicate your solution to the reader. [A] Consider the L-shaped polygon with vertices: (-1,0), (1,0), (1,1), (0,1), (0,3), and (-1,3) shown to the right. Find the standard matrix for each of the transformations described below. Then use matrix multiplication to obtain the coordinates for the 6 vertices that result from applying the transformation to the vertices of the...
05 (20pts): The rod AB can rotate about point A as shown in the figure. During the rotation the collar C slides outward along AB. At any time instant the distance between the center of rotation and instantaneous position of the collar is r and given as a function of timer 407 wherer is in seconds. Similarly the angle between the x axis and instantaneous location of the collar is described as 0 =0.81'. O is given in radians. Determine...
2. Two equal masses are attached to a massless hoop of radius R that is free to rotate about its center in a vertical plane. The angle between the masses is 20, as shown in Fig. 2. Let α be the angle of rotation of the hoop measured from its equilibrium. ? (a) (15 points) what is the Lagrangian of the system钉n terms cS o (b) (10 points) What is the frequency of small oscillations of the hoop? Figure 2:...
10.) (a) In the drawing below, the flat triangle ABC lies in the plane of the paper. Angle Bisa right angle. The triangle is going to rotate about an axis that also lies in the plane of the paper and passes through the point A. Draw such an axis that passes through point A and is oriented such that points B and C will move in circular paths having the same radii. Can you draw a second axis of rotation,...
A model airplane competition has the following rules: Each plane must fly to a point 1 km from the start and then back again. The point km winner is the plane with the shortest round-trip time. The contestants are free to launch their planes in any direction, so long as the plane travels exactly 1 km out and then returns. On the day of the race, a steady wind blows from the north at 8.5 m/s. Your plane can maintain...
Find a point-normal equation of the plane passing through points A(1,-1,0), B(0, 0, 2) and C(0,3,1).
If you were to figure out the tangent plane to the curve: z = cos(xy) at x=2, y =0.757, what would the coefficient in front of the x term be in that tangent plane formula? ROUND YOUR ANSWER TO ONE DECIMAL PLACE. YOU SHOULD USE RADIANS FOR THIS PROBLEM
The 5th page of lecture 24:
2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
Most questions answered within 3 hours.
-
Haygood Corp. purchased ten $1000 5% bonds of Energy Corporation
when the market rate of interest...
asked 26 seconds ago -
A mixture of an equal number of moles of N2 and
H2 is contained in a...
asked 32 seconds from now -
Assume that the radioactive elements in the crust are uniformly
distributed (i.e. H=constant). The surface heat...
asked 5 minutes ago -
the
sole proprietorship that began business May 1 2018 incurred $9000
of start up expenses if...
asked 5 minutes ago -
Instructions: Each example shows a
sentence fragment. Provide an edited sentence that fixes the
fragment without...
asked 7 minutes ago -
This car is traveling at 70 mph.
Are the forces balanced or unbalanced? Explain your
reasoning
asked 6 minutes ago -
(The Manx is a breed of domestic cat that lacks a
tail. The Manx phenotype is caused...
asked 8 minutes ago -
What is the discount rate for the following cash flows? (Please
show your calculation procedure)
Year...
asked 58 minutes ago -
Let X be the amount of damage a particular company pays out (in
$) for a...
asked 1 hour ago -
1. Choose the answer that is closest to the definition of a
significance level
a) If...
asked 3 hours ago -
When light is refracted, on what does the angle of refraction
depend? Select all that apply....
asked 3 hours ago -
A (726) g mass is hung on a spring. As a result the spring
stretches (16.5)...
asked 4 hours ago