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Determine for P in the frame N the position vector NP, velocity vector NP, and acceleration vector NaP.

Determine for P in the frame N the position vector NP, velocity vector NP, and acceleration vector NaP.

Elements Of Electromagnetics
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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Plz do b part only in 20 minutes i need it plz
b) Determine for P in the frame N the position vector vector NaP. NTP, velocity vector VP, and acceleration N Draw a Free Body Diagram of the particle, clearly indicating all forces acting on the particle, and use the Free Body Diagram to determine the equation(s) of motion of the particle. d) What relationship between 0 and needs to be satisfied at the point where the particle leaves the circle? e) For each value of 00 between 0 and, determine the value of vo for which the particle leaves the circular path at 0 = 00.
Transcribed Image Text:b) Determine for P in the frame N the position vector vector NaP. NTP, velocity vector VP, and acceleration N Draw a Free Body Diagram of the particle, clearly indicating all forces acting on the particle, and use the Free Body Diagram to determine the equation(s) of motion of the particle. d) What relationship between 0 and needs to be satisfied at the point where the particle leaves the circle? e) For each value of 00 between 0 and, determine the value of vo for which the particle leaves the circular path at 0 = 00.
A particle P of mass m = = 3.5 kg arrives at point O with a horizontal velocity vo and starts rolling down a circle with radius R = 2 m. The particle is attached to the point O by means of a linear spring of stiffness k = 70 N/m that is unstretched when the particle is at O. Assume that during the motion of P along the circle, the spring follows the circle. Let N = {n, ny} be a fixed reference frame as shown in the figure and let B = {b, by} be a reference frame attached to P so that b is tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question. O ny a) Determine the Direction Cosine Matrices [C]B and BCN. N nx IP
Transcribed Image Text:A particle P of mass m = = 3.5 kg arrives at point O with a horizontal velocity vo and starts rolling down a circle with radius R = 2 m. The particle is attached to the point O by means of a linear spring of stiffness k = 70 N/m that is unstretched when the particle is at O. Assume that during the motion of P along the circle, the spring follows the circle. Let N = {n, ny} be a fixed reference frame as shown in the figure and let B = {b, by} be a reference frame attached to P so that b is tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question. O ny a) Determine the Direction Cosine Matrices [C]B and BCN. N nx IP
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