a. x2 + y? = 25b. (x- 1)2 + (y - 1)? = 25c. x2 + y2 = 5d. a2 + y? = V5 An ordinary pendulum moves at a constant speed back and forth in two opposite directions.A conical pendulum, on the other hand, also moves at a constant speed but in a circularmotion such that the bob traces a circle in the air. Suppose that the bob of the conicalpendulum has a horizontal distance that is 5in from the stand. Which of the following is theequation of the circle traced by the bob if the origin is situated at the stand?

The equation of a circle centered at a, b is defined as x-a2+y-b2=r2, where r is the radius of the…

Answered: An ordinary pendulum moves at a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Jason throws a Ping-Pong ball, which bounces off a wall at a 78° angle, hits the floor and bounces up at a 49° angle, and travels 57 cm back to his hand as shown in the diagram below. If the paths traced by the ball leaving and returning to Jason's hand create a 53° angle, how far did the ball travel in total? 53° 78° 57 cm 49° O 100.98 cm 200.69 cm O 147.52 cm 103.54 cm
Item 4 Learning Goal: = A bar moves along a path without rotating as shown in (Figure 1). The position of point B can be described by the equation rß (9 + 5t)i + (4.5t + 0.4t²)j, where the coordinates are in meters when t is in seconds. The dimensions of the bar are L₁ = 0.6 m and L2 = 1.8 m, and the angle is 0 = 60°. Figure L2 B 1 of 1
In one of the rides at an amusement park, you sit in a circular "car" and cause it to rotate by turning a wheel in the center. The faster you turn the wheel, the faster the car rotates. How far from the center of the car are you sitting if your car makes one revolution every 5 seconds and your linear speed is 4 feet per second? Express your answer in feet. Round your answer to 2 decimal places. feet TIP Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity
A cylindrical glass of water with diameter 3.5 in. sits on a horizontal counter top. 3.5 in. 130 3.5 in. a. Write an equation of the circular surface of the water. Assume that the origin is placed at the center of the circle. b. If the glass is tipped 30°, what shape will the surface of the water have? c. With the glass tipped 30°, the waterline makes a slope of with the coordinate system shown. Determine the length of the major and minor axes. Round to 1 decimal place.
Write the equation of the height of a river on each of the following Ferris Wheels, t, seconds after the rider passes the farthest right position
You will need this information about the Ferris wheel. The radius of the Ferris wheel is 50 feet. The wheel turns at a constant speed, makes a complete turn every 40 seconds, and moves counterclockwise. The center of the wheel is 65 feet off the ground.
A Moving to the next question prevents changes to this answer. Question 7 Find the length of the Conjugate axis if the length of the semi-transverse axis is 92 and the distance from the focus to the center is 198. Round your answers to two decimal places

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