The y-coordinate of a particle in curvilinear motion is given by y = 9.0t³ - 13.3t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 4.3t in./sec². If the velocity of the particle in the x-direction is 12.1 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 3.2 sec. Construct v and a in your solution. Answers: When t = 3.2 sec, V = in./sec a = in./sec² I Mi

The y-coordinate of a particle in curvilinear motion is given by y = 9.0t³ - 13.3t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 4.3t in./sec². If the velocity of the particle in the x-direction is 12.1 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 3.2 sec. Construct v and a in your solution. Answers: When t = 3.2 sec, V = in./sec a = in./sec² I Mi

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The horizontal motion of the plunger and shaft is arrested by the resistance of the attached disk which moves through the oil bath. The velocity of the plunger is v0 = 3.8 m/s in the position A where x = 0 and t = 0, and the deceleration is proportional to v so that a = -kv where k = 0.61 s-1. Find (a) the velocity when t = 5.5 s, (b) the position x when t = 5.5 s, (c) the velocity when x = 3.5 m.
11(b) The y-coordinate of a particle in curvilinear motion is given by y = 6.4t3 - 10.6t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 12.5t in./sec2. If the velocity of the particle in the x-direction is 2.4 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 1.0 sec. Construct v and a in your solution.
5 (a)The x-coordinate of a particle in curvilinear motion is given by x = 3.7t3 - 4.5t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.7t. If the particle has y-components y = 0 and vy = 3.4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 5.9 sec. Sketch the path for the first 5.9 seconds of motion, and show the velocity and acceleration vectors for t = 5.9 sec.
The x-coordinate of a particle in curvilinear motion is given by x = 3.7t3 - 4.5t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.7t. If the particle has y-components y = 0 and vy = 3.4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 5.9 sec. Sketch the path for the first 5.9 seconds of motion, and show the velocity and acceleration vectors for t = 5.9 sec.Answers:
The y-coordinate of a particle in curvilinear motion is given by y = 11.6t3 - 9.1t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 7.0t in./sec2. If the velocity of the particle in the x-direction is 8.3 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 2.0 sec. Construct v and a in your solution. a. v in inch / sec b. a in inch / sec2
The x-coordinate of a particle in curvilinear motion is given by x = 4.1t3 - 3.1t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.4t. If the particle has y-components y = 0 and vy = 2.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.5 sec. Sketch the path for the first 3.5 seconds of motion, and show the velocity and acceleration vectors for t = 3.5 sec. determine: a. v in ft / sec b. a in ft / sec2
The x-coordinate of a particle in curvilinear motion is given by x = 4.1t3 - 3.1t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.4t. If the particle has y-components y = 0 and vy = 2.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.5 sec. Sketch the path for the first 3.5 seconds of motion, and show the velocity and acceleration vectors for t = 3.5 sec. a. determine v in ft / sec b. determine a in ft / sec2
A train is moving horizontally to the right with the speed of VT=60 mi/h. Meanwhile, a car is traveling toward the train with the speed of VC=30 mi/h and a 30deg angle with respect to horizontal direction. Select the correct expression of the velocity vector of the train relative to the car ___________mi/h A. (60-30cos30°)-30sin30° B. (60-30cos30°) +30sin30° C. (60+30cos30°)-30sin30° D. (30cos30°-60) +30sin30°
A car moves along a straight line whose equation of motion is given by V =4t>- 3t+1 where (V) is in meter per second and (t) is in seconds. After 3 seconds from the start the linear displacement was 27m. When t =7 seconds, determine the linear displacement, linear velocity and linear acceleration of the car.
The acceleration of a sniper rifle bullet inside the rifle’s barrel is given by a=k/x, where k is a constant and x is the position of the bullet along the barrel. If the bullet starts from rest at x=7.5 mm and comes out at the end of the 750-mm barrel with a speed of 600 m/s, What is the velocity of the bullet as it passes the midpoint of the barrel?
Q1. If the speed of the motorcycle is v = V600 – 0.5s? where s is in meters measured from A, determine its tangential velocity, tangential acceleration and normal acceleration when it reaches B. Clearly draw free body diagram and mention velocity and acceleration vectors along with their magnitudes and angles with positive t-axis. Where r=60m and is 30 degrees.
The velocity of a particle along the s-axis is given by v = 8s8/7 where s is in millimeters and v is in millimeters per second. Determine the acceleration when s is 4.3 millimeters.