A particle moves along the curve y = x - (x² / 325), where x and y arein ft. If the velocity component in the x direction is vx= 3 ft/s remainsconstant, determine the magnitudes of the velocity (in ft/s) (?) andacceleration (in ft/s?) (?) when x = 15 ft. If the car travels at constant speed which is 8 ft/s, determine the speed(in ft/s) (?, ?) of the box for angles 0 (20°, 30° ) of the rope.The rope haslength of 85 ft and passes over a pulley of negligible size at A.25 ft

A particle moves along the curve y = x - (x²/325), where x and y are in ft. If the velocity component in the x direction is vx= 3 ft/s remains constant, determine the magnitudes of the velocity (in ft/s) (?) and acceleration (in ft/s?) (?) when x = 15 ft.

A particle moves along the curve y = x - (x²/325), where x and y are in ft. If the velocity component in the x direction is vx= 3 ft/s remains constant, determine the magnitudes of the velocity (in ft/s) (?) and acceleration (in ft/s?) (?) when x = 15 ft.

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

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

A particle moves along the curve y = x - (x² / 325), where x and y are
in ft. If the velocity component in the x direction is vx= 3 ft/s remains
constant, determine the magnitudes of the velocity (in ft/s) (?) and
acceleration (in ft/s?) (?) when x = 15 ft.

If the car travels at constant speed which is 8 ft/s, determine the speed
(in ft/s) (?, ?) of the box for angles 0 (20°, 30° ) of the rope.The rope has
length of 85 ft and passes over a pulley of negligible size at A.
25 ft

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