A particle P of mass m = 3 kg arrives at point O with a horizontal velocity Up and starts rolling down a circle with radius R= 1.5 m. The particle is attached to the point O by means of a linear spring of stiffness k = 50 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 = {x, y) be a fixed reference frame as shown in the figure and let B = (bx, by) be a reference frame attached to P so that bis tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question.

A particle P of mass m = 3 kg arrives at point O with a horizontal velocity Up and starts rolling down a circle with radius R= 1.5 m. The particle is attached to the point O by means of a linear spring of stiffness k = 50 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 = {x, y) be a fixed reference frame as shown in the figure and let B = (bx, by) be a reference frame attached to P so that bis tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question.

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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Question

a)
Determine the Direction Cosine Matrices [C]B and B[C]N.

A particle P of mass m = 3 kg arrives at point O with a horizontal velocity and starts rolling
down a circle with radius R = 1.5 m. The particle is attached to the point O by means of a linear
spring of stiffness k = 50 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 = {x, ây} be a fixed
reference frame as shown in the figure and let B = {bx, 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.
ny
ĤT
IP

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